- Last update: Sep 29, 2024
Sep 29, 2024 n = 5935: 895577649718240766851420771286431; ecm: B1 = 1e6; sigma = 0:2558740426237798
Sep 29, 2024 n =14008: 7557466138018613887752839718241; P-1: B1 = 425e6
Sep 29, 2024 n =14025: 494799595468837592912765329951; P-1: B1 = 200e6
Sep 29, 2024 n =20069: 625888769768322182081; P-1: B1 = 26e6
Sep 29, 2024 n =20071: 10717561504971990516345053; P-1: B1 = 26e6
Sep 29, 2024 n =33445: 1469336791608911; P-1: B1 = 26e6
Sep 29, 2024 n =33447: 491608830005525988853; P-1: B1 = 26e6
Sep 29, 2024 n =33447: 187416928712199166553464081; P-1: B1 = 26e6
Sep 29, 2024 n =33448: 1351418898150824104130233; P-1: B1 = 55e6
Sep 29, 2024 n=100336: 330028917981567723303942673; P-1: B1 = 55e6
Sep 29, 2024 n=100338: 206912510296423; P-1: B1 = 55e6
Sep 29, 2024 n=100339: 54223021923540945759365761; P-1: B1 = 26e6
Sep 29, 2024 n=100346: 383728351907091520013; P-1: B1 = 55e6
Sep 29, 2024 n=100349: 2394463284595550867; P-1: B1 = 25e6
Sep 29, 2024 n=100349: 571773078188199797711; P-1: B1 = 25e6
Sep 29, 2024 n=100349: 2170923897743298135871; P-1: B1 = 25e6
Sep 29, 2024 n=100354: 7017770946180281805900997; P-1: B1 = 55e6
Sep 29, 2024 n=100367: 437309391825563618085106691353003; P-1: B1 = 25e6
Sep 29, 2024 n=165059: 1412576064729866441; gr-mfaktc
Sep 29, 2024 n=165367: 219042871356182639; gr-mfaktc
Sep 29, 2024 n=165559: 3022209644667383591; gr-mfaktc
Sep 29, 2024 n=165887: 2103548727932086601; gr-mfaktc
- Found by Kurt Beschorner
Sep 22, 2024 n =8820L: 38472335154641256621987535647777642463066081; ecm: B1 = 43e6; sigma = 0:1776896642260120
Sep 22, 2024 n =13981: 41959916167823776617032638519; P-1: B1 = 180e6
Sep 22, 2024 n =15010: 2247135913811251472757731281; P-1: B1 = 475e6
Sep 22, 2024 n =33439: 53111770394178347969857294969; P-1: B1 = 26e6
Sep 22, 2024 n =33443: 136477096357797438371266784827; P-1: B1 = 26e6
Sep 22, 2024 n=100310: 1212708762180807686728089786270481; P-1: B1 = 55e6
Sep 22, 2024 n=100315: 50361950805780701077241; P-1: B1 = 26e6
Sep 22, 2024 n=100319: 912888165648139220039; P-1: B1 = 26e6
Sep 22, 2024 n=100319: 1057846236716005776317; P-1: B1 = 26e6
Sep 22, 2024 n=100322: 8108488733399443679408089; P-1: B1 = 55e6
Sep 22, 2024 n=100325: 5827663597974964201; P-1: B1 = 26e6
Sep 22, 2024 n=100325: 25321797375061892351; P-1: B1 = 26e6
Sep 22, 2024 n=100325: 56630897862009020083404551; P-1: B1 = 26e6
Sep 22, 2024 n=100326: 783039991400508236893; P-1: B1 = 55e6
Sep 22, 2024 n=100327: 35281606932001009; P-1: B1 = 26e6
Sep 22, 2024 n=100327: 12828554947389278628650883738942364921; P-1: B1 = 26e6
Sep 22, 2024 n=100331: 21467063211868121; P-1: B1 = 26e6
Sep 22, 2024 n=100331: 4862518420072955027; P-1: B1 = 26e6
Sep 22, 2024 n=163567: 539641922197237843; gr-mfaktc
Sep 22, 2024 n=163643: 8742778098628924369; gr-mfaktc
Sep 22, 2024 n=163871: 81434437414508879; gr-mfaktc
Sep 22, 2024 n=164363: 318453441593001283; gr-mfaktc
Sep 22, 2024 n=164363: 7249093626119332237; gr-mfaktc
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Sep 22, 2024 R2100L/c215: SNFS-difficulty = 280;
115M unique raw relations are collected;
target: 1450M unique raw relations;
currently progress 8 %;
- Found by Kurt Beschorner
Sep 16, 2024 n = 7714: 674756255553554784010629810684186001; P-1: B1 = 55e6
Sep 16, 2024 n =13959: 10908706960626889587131773; P-1: B1 = 200e6
Sep 16, 2024 n =13967: 1546739122898324683549717612079311; P-1: B1 = 150e6
Sep 16, 2024 n =14329: 183712653538982131518024939751; P-1: B1 = 26e6
Sep 16, 2024 n =20059: 80375529458480386963639; P-1: B1 = 26e6
Sep 16, 2024 n =33428: 598073364853609567951344661; P-1: B1 = 55e6
Sep 16, 2024 n =33430: 1940207172302679533640091; P-1: B1 = 55e6
Sep 16, 2024 n =33431: 2986536836872837600454184202658521; P-1: B1 = 26e6
Sep 16, 2024 n =33433: 40818089630691856577333; P-1: B1 = 26e6
Sep 16, 2024 n =33435: 105983936158364548054452631; P-1: B1 = 26e6
Sep 16, 2024 n=100281: 1815632202447883; P-1: B1 = 26e6
Sep 16, 2024 n=100283: 42379862892338239; P-1: B1 = 26e6
Sep 16, 2024 n=100302: 163812185449385920151179; P-1: B1 = 55e6
Sep 16, 2024 n=100307: 821138291293898067154050639683; P-1: B1 = 26e6
Sep 16, 2024 n=161503: 446701045025113763; gr-mfaktc
Sep 16, 2024 n=161831: 3150992875204990759; gr-mfaktc
Sep 16, 2024 n=161923: 265409454752698439; gr-mfaktc
Sep 16, 2024 n=161983: 3102607059593915561; gr-mfaktc
Sep 16, 2024 n=162053: 455764003592207053; gr-mfaktc
Sep 16, 2024 n=162263: 16573976462383659653; gr-mfaktc
Sep 16, 2024 n=162709: 6151846505317453609; gr-mfaktc
Sep 16, 2024 n=162821: 533085113807320037; gr-mfaktc
Sep 16, 2024 n=163147: 226382336474367907; gr-mfaktc
Sep 16, 2024 n=163243: 450452936170769321; gr-mfaktc
Sep 16, 2024 n=163243: 1158816080244718243; gr-mfaktc
Sep 16, 2024 n=163351: 655996977828896117; gr-mfaktc
- Found by Torbjörn Granlund
Sep 15, 2024 n = 1213: 3802200856589814744657128636563499435894999; ecm: B1 = 1e6; sigma = 0:14488647671416981951
Sep 15, 2024 n = 1815: 4098441872200433015045042676505414155509641; ecm: B1 = 1e6; sigma = 0:11990104957816418499
Sep 15, 2024 n = 2285: 2051498341294060742933143147274846947443401; P-1: B1 = 1e9; B2 = 6084866733918
Sep 15, 2024 n = 2391: 103182654083788921684537334713499683; ecm: B1 = 1e6; sigma = 0:12020620644682256341
Sep 15, 2024 n = 2449: 600858453913730403856532541976772589443; P-1: B1 = 1e9; B2 = 6084866733918
Sep 15, 2024 n = 2527: 647353766385319691857417203558887401; ecm: B1 = 1e6; sigma = 0:3621277789841061197
Sep 15, 2024 n = 2535: 156754634687052062764416759087670471; ecm: B1 = 1e6; sigma = 1:3393956487
Sep 15, 2024 n = 2543: 753304164049013002621804486735652843; ecm: B1 = 1e6; sigma = 1:1466944611
Sep 15, 2024 n = 2705: 109195685007337483022299748369716146161; ecm: B1 = 1e6; sigma = 0:8906779298094550009
Sep 15, 2024 n = 2745: 28485167471844891801410276138004175081; ecm: B1 = 1e6; sigma = 0:8604497436349318999
Sep 15, 2024 n = 2829: 16410236115549830906505363137937169; ecm: B1 = 1e6; sigma = 0:1951234959635419041
Sep 15, 2024 n = 2937: 18896097703630454952291685509584942533; ecm: B1 = 1e6; sigma = 1:759148817
Sep 15, 2024 n = 3021: 27330873097344696912154806989332483; ecm: B1 = 1e6; sigma = 0:3201172410425856953
Sep 15, 2024 n = 3569: 11400139053302182410990498057327124417267; ecm: B1 = 3e6; sigma = 0:10865405958817156427
Sep 15, 2024 n = 3585: 58085336248307618498777162746561; ecm: B1 = 1e6; sigma = 0:15009441137241804824
Sep 15, 2024 n = 3667: 2080475367504865290478276992253031; ecm: B1 = 1e6; sigma = 0:12437885057015613011
Sep 15, 2024 n = 3757: 33694379761057967269754016089273036507; ecm: B1 = 1e6; sigma = 1:273908683
Sep 15, 2024 n = 3787: 7055345299224159172828355011806649; ecm: B1 = 1e6; sigma = 0:2830813724368277207
Sep 15, 2024 n = 4055: 1948787780852220980547111695444679761; ecm: B1 = 1e6; sigma = 0:17455056067453863873
Sep 15, 2024 n = 4103: 1741547372143431977118494290270117837; ecm: B1 = 1e6; sigma = 0:5025907934834844875
Sep 15, 2024 n = 4165: 14502689303731246267058119792968671; ecm: B1 = 1e6; sigma = 0:5727017555073026671
Sep 15, 2024 n = 4191: 22984383232857352472100689865991849; ecm: B1 = 1e6; sigma = 0:12310506994298116883
Sep 15, 2024 n = 4265: 14287864954281769595031262840766686391; ecm: B1 = 1e6; sigma = 0:16892259785869631342
Sep 15, 2024 n = 4507: 144033826328835512829127544710780565639; ecm: B1 = 1e6; sigma = 0:449790939880095147
Sep 15, 2024 n = 4509: 2460235364293681340814960094035702961; ecm: B1 = 3e6; sigma = 0:15501487315860969557
Sep 15, 2024 n = 4739: 169909323009560405443119802808507; ecm: B1 = 1e6; sigma = 0:5951338009732668807
Sep 15, 2024 n = 4869: 486782628447541143585231274986757711; ecm: B1 = 1e6; sigma = 0:7300925068061572311
Sep 15, 2024 n = 4919: 6530957056632063748192085275662319; ecm: B1 = 1e6; sigma = 0:6603285319019973935
Sep 15, 2024 n = 5215: 125442818692110058393659177580154599647431; ecm: B1 = 1e6; sigma = 1:177897093
Sep 15, 2024 n = 5465: 165659419307517545705863974768344231; ecm: B1 = 1e6; sigma = 0:6603285319019973935
Sep 15, 2024 n = 5593: 30774474478303908730228394315801; ecm: B1 = 1e6; sigma = 0:78372119094033
Sep 15, 2024 n = 5651: 253153202072068480481374624902090462157; ecm: B1 = 1e6; sigma = 0:12798764993499092605
Sep 15, 2024 n = 5711: 1458424360860342794605064778192559441; ecm: B1 = 1e6; sigma = 0:5963013522829996799
Sep 15, 2024 n = 5743: 14811624013463002360724048056372841; ecm: B1 = 1e6; sigma = 0:78372119094033
Sep 15, 2024 n = 5831: 318654001333309317352041936803; ecm: B1 = 1e6; sigma = 1:3393956487
Sep 15, 2024 n = 5917: 62128869315196783538931039009211738481; ecm: B1 = 1e6; sigma = 1:1474470163
Sep 15, 2024 n = 6011: 5656607367075011571023869359496363; ecm: B1 = 1e6; sigma = 1:273908683
Sep 15, 2024 n = 6093: 1336143863663099786889758180375119; ecm: B1 = 1e6; sigma = 1:3616795357
*Sep 15, 2024 n = 6155: 16956196546484050694626455982001; ecm: B1 = 1e6; sigma = 0:18296581214409180617
Sep 15, 2024 n = 6173: 5053071098890826667938286305293; ecm: B1 = 1e6; sigma = 0:199762724765272745
Sep 15, 2024 n = 6237: 14089779120825363590790687940304359; ecm: B1 = 1e6; sigma = 0:15637767851225334323
Sep 15, 2024 n = 6327: 1596489365351468828532617242104403; ecm: B1 = 1e6; sigma = 1:759148817
Sep 15, 2024 n = 6407: 373939098107201919765478843483; ecm: B1 = 1e6; sigma = 0:11362242212281988111
Sep 15, 2024 n = 6417: 294088177038615753783998327225437; ecm: B1 = 1e6; sigma = 1:3425686205
Sep 15, 2024 n = 6465: 221112688029324217201473060951751; ecm: B1 = 1e6; sigma = 0:8473284529095742021
Sep 15, 2024 n = 6509: 100936144535747450211445731409; ecm: B1 = 1e6; sigma = 0:1532057093235231923
Sep 15, 2024 n = 6579: 14928911404373501386802247002821217191; ecm: B1 = 1e6; sigma = 0:1532057093235231923
Sep 15, 2024 n = 6747: 6723829837620032920626623393563; ecm: B1 = 1e6; sigma = 0:11914725518606056737
Sep 15, 2024 n = 6767: 1943538884462222777971431975683519; ecm: B1 = 1e6; sigma = 0:11914725518606056737
Sep 15, 2024 n = 6775: 7651560979032194699667735601; ecm: B1 = 1e6; sigma = 0:7938031375900419525
Sep 15, 2024 n = 6785: 8367957136701535535458360493059871; ecm: B1 = 1e6; sigma = 0:8253462866479087135
Sep 15, 2024 n = 6799: 170625890566634686201590537198169; ecm: B1 = 1e6; sigma = 0:189873710409027
Sep 15, 2024 n = 6827: 605563853021030672629776013561; ecm: B1 = 1e6; sigma = 0:15042871998340189925
Sep 15, 2024 n = 6873: 11732138724635366578685236204921; ecm: B1 = 1e6; sigma = 1:77461235
Sep 15, 2024 n = 6933: 2056666694145181286351906929282494283; ecm: B1 = 1e6; sigma = 1:1753592501
Sep 15, 2024 n = 6955: 4770123797091402986659534165081; ecm: B1 = 1e6; sigma = 0:7545309159719229623
Sep 15, 2024 n = 7011: 40932492158522147916939842503117; ecm: B1 = 1e6; sigma = 0:15428700728936867661
Sep 15, 2024 n = 7047: 2721713105317415253764995487154864151; ecm: B1 = 1e6; sigma = 0:14957306403135743853
Sep 15, 2024 n = 7203: 358477182201157632404210989262323; ecm: B1 = 1e6; sigma = 0:1899485105162830283
Sep 15, 2024 n = 7225: 4302621570884152909003933564616551; ecm: B1 = 1e6; sigma = 0:263415883537725
Sep 15, 2024 n = 7389: 2898661596886202374101295254853; ecm: B1 = 1e6; sigma = 0:18401888294117552977
Sep 15, 2024 n = 7405: 1000777605747316235823378402467201; ecm: B1 = 1e6; sigma = 1:182620923
Sep 15, 2024 n = 7435: 31538057598641330421637379793605858911; ecm: B1 = 1e6; sigma = 0:17646512381195540761
Sep 15, 2024 n = 7453: 519352817483043973396038245141801; ecm: B1 = 1e6; sigma = 0:17646512381195540761
Sep 15, 2024 n = 7455: 491214058175515798301044852544161; ecm: B1 = 1e6; sigma = 0:1038547052753189993
Sep 15, 2024 n = 7481: 4972615427247872817986627484420443; ecm: B1 = 1e6; sigma = 0:12798764993499092605
Sep 15, 2024 n = 7497: 120992296050473892227494196483557; ecm: B1 = 1e6; sigma = 0:3207401511136924985
Sep 15, 2024 n = 7571: 18698117426765456482515727025468521; ecm: B1 = 1e6; sigma = 0:8906779298094550009
Sep 15, 2024 n = 7579: 19746693354511063241762048385799; ecm: B1 = 1e6; sigma = 1:2923719129
Sep 15, 2024 n = 7657: 23156299845678068145104500838792479; ecm: B1 = 1e6; sigma = 0:11914725518606056737
Sep 15, 2024 n = 7707: 10239935254977661685645752476121; ecm: B1 = 1e6; sigma = 0:14778809121148116955
Sep 15, 2024 n = 7709: 3603902959985554170713863151227; ecm: B1 = 1e6; sigma = 0:78372119094033
Sep 15, 2024 n = 7735: 7852631810215021420841043096031; ecm: B1 = 1e6; sigma = 1:1664073337
Sep 15, 2024 n = 7751: 2508815958146815988829093095690279; ecm: B1 = 1e6; sigma = 0:10977665072412782587
Sep 15, 2024 n = 7885: 19715636275865932733299589027883883203241; ecm: B1 = 1e6; sigma = 1:3605802901
Sep 15, 2024 n = 8065: 60524026956189845504863462287391241; ecm: B1 = 1e6; sigma = 0:13156499177556375355
Sep 15, 2024 n = 8087: 676176399587129808611509701831277; ecm: B1 = 1e6; sigma = 0:7093308573280539123
Sep 15, 2024 n = 8123: 4814330511191140848342973783129; ecm: B1 = 1e6; sigma = 0:10440896923169321451
Sep 15, 2024 n = 8357: 20176718421494524195035668600213; ecm: B1 = 1e6; sigma = 0:12798764993499092605
Sep 15, 2024 n = 8377: 5687690333174390215382594316043; ecm: B1 = 1e6; sigma = 1:1156762131
Sep 15, 2024 n = 8387: 10938520602149818569869171575609; ecm: B1 = 1e6; sigma = 1:1664073337
Sep 15, 2024 n = 8449: 1866759297062204231700511602262397; ecm: B1 = 1e6; sigma = 0:10547514346612664537
Sep 15, 2024 n = 8527: 243375472861762690397991792264917; ecm: B1 = 1e6; sigma = 0:11990104957816418499
Sep 15, 2024 n = 8549: 15925358773101069259411105353519319; ecm: B1 = 1e6; sigma = 0:6603285319019973935
Sep 15, 2024 n = 8665: 25409864545263329255648473295928871; ecm: B1 = 1e6; sigma = 0:9616308672479705735
Sep 15, 2024 n = 8781: 416828196947164610392504584224599; ecm: B1 = 1e6; sigma = 0:17365221873064881403
Sep 15, 2024 n = 8833: 1063599702251709943979714751587; ecm: B1 = 1e6; sigma = 1:1652174903
Sep 15, 2024 n = 8857: 3112229527773266800727250108835512151; ecm: B1 = 1e6; sigma = 0:12466699163099994441
Sep 15, 2024 n = 8861: 514228458427027657041198238405757; ecm: B1 = 1e6; sigma = 0:8906779298094550009
Sep 15, 2024 n = 9295: 13812317980966297693444361767795561; ecm: B1 = 1e6; sigma = 0:5963013522829996799
Sep 15, 2024 n = 9581: 95233941496960508695109319521; ecm: B1 = 1e6; sigma = 1:1751343877
Sep 15, 2024 n = 9879: 622083644065230480047758412090677; ecm: B1 = 1e6; sigma = 0:1038547052753189993
Sep 15, 2024 n = 9965: 50664542210486897314398938301663311; ecm: B1 = 1e6; sigma = 0:17127812835675519603
**Sep 15, 2024 n = 8655: 127381682260506697042031958031; ecm: B1 = 1e6; sigma = 0:9616308672479705735
* this factor is included in other factor collections, but is missing in my list so far
** this factor was also found by Kurt Beschorner mit B1=1e6, sigma=0:2925821086176721
- Found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner
Sep 09, 2024 n = 471: 1640259175221723797786233348156700513564345502781851447654042775375772294825108377125627674387206196531834389323135517030822828838413 ;SNFS
A big thank to Oliver Kruse for carrying out Filtering-, Linear Algebra- and Square Root-Step
Details:
- R471: SNFS-difficulty = 314
- Compile remdups with the necessary lpb size
the relations need to be aggregated and cleaned. Run remdups on the total file.
- use CADO-NFS to perform singleton and clique removal, since msieve was giving weird results with
that many relations
- compile CADO-NFS from GIT using FLAGS_SIZE='-DSIZEOF_P_R_VALUES=8'.
- use dup1 to make sure all relations are in a format that CADO-NFS does understand (and
to split the relations file for dup2). (also see Note A.)
- execute freerel to get a renumber table (necessary for dup2 and later to convert relations
back to msieve format).
- use check_rels to make sure all relations are not only syntactically, but also semantically
correct. This needs to be compiled half-manually. (also see Note A here, too.)
- count the exact number of relations per output file of dup2. It is a required input for purge.
- execute dup2.
- execute purge with -keep 0. (Also see Note B.)
- convert all relations back to msieve format using convert_rels, which must be compiled
half-manually. (also see Note C.)
Use msieve to build a matrix. Target density must be set such that the resulting matrix is
indicated to take up less than (around) 40 % of the available VRAM of the GPU that should be
used to solve it.
Compress the matrix and upload it to the GPU system while preparing msieve-GPU.
Perform LA on a GPU.
Only move back the .dep file.
Use it to perform the square root with msieve.
General notes:
In most cases, zstd was used to compress intermediate data instead of gz. The main advantage
for this project was a much better compression and also decompression speed.
All msieve invocations can be done using a normal msieve executable without CUDA.
Only step 7 requires CUDA. VBITS must be the same for all, though.
Note A: It looks like we were using a suboptimal version of remdups. It was creating Windows-like
line breaks (\r\n) after each relation, which CAD O does not like at all. It took some time to
figure out that this was the reason CAD O rejected the input files. It had not helped that I used
the wrong input file at least twice for dup1. At first, we had multiple problems with the
relations going into dup2, too. Unlike msieve, CADO will not tolerate malformed or otherwise
invalid relations at all and will exit immediately upon coming across such a relation. So,
it was necessary to run all relations through CADOs check_rels.
Note B: CADOs purge can be really memory hungry. Combined with running it in WSL instead
natively in Linux, it required moving to a 256 GB machine. You can reduce memory usage by
increasing the minimum ideal that is taken into account, but this will lead to a bigger matrix.
Interestingly, using a single input file here uses less memory than using multiple ones.
Note C: Because purge puts a header into the output file, convert_rels was unable to read it.
This was only obvious after it already ran for around half an hour. The workaround was to rewrite
the file completely, since using named pipes (which is officially supported by CAD O) did not work.
Additionally, since last time around, I forgot to inform the CAD O team of another important bug
in convert_rels, which lead to a crash multiple times such that I needed to resume this step from
the beginning.
Msieve v. 1.54 (SVN Unversioned directory)
random seeds: 22542d19 700fd33a
Using 24 OpenMP threads
factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (301-digit input)
R0: -10000000000000000000000000000000000000000000000000000
R1: 1
A0: 1
A1: 0
A2: 0
A3: 10
A4: 0
A5: 0
A6: 100
skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
commencing relation filtering
setting target matrix density to 110.0
estimated available RAM is 130983.0 MB
commencing duplicate removal, pass 1
skipped 195759 relations with b > 2^32
found 14183037 hash collisions in 256635802 relations
added 812721 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 257448523 unique relations
memory use: 852.8 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 6024.0 MB
reading all ideals from disk
memory use: 13898.6 MB
keeping 255321547 ideals with weight <= 200, target excess is 1416068
commencing in-memory singleton removal
begin with 257448523 relations and 255321547 unique ideals
reduce to 255910332 relations and 253781718 ideals in 10 passes
max relations containing the same ideal: 200
removing 2120221 relations and 1877233 ideals in 242988 cliques
commencing in-memory singleton removal
begin with 253790111 relations and 253781718 unique ideals
reduce to 253783216 relations and 251897583 ideals in 6 passes
max relations containing the same ideal: 200
removing 1774348 relations and 1531360 ideals in 242988 cliques
commencing in-memory singleton removal
begin with 252008868 relations and 251897583 unique ideals
reduce to 252003594 relations and 250360945 ideals in 6 passes
max relations containing the same ideal: 200
relations with 0 large ideals: 35079
relations with 1 large ideals: 3674
relations with 2 large ideals: 59481
relations with 3 large ideals: 659291
relations with 4 large ideals: 4064521
relations with 5 large ideals: 15366490
relations with 6 large ideals: 37495822
relations with 7+ large ideals: 194319236
commencing 2-way merge
reduce to 144312791 relation sets and 142670142 unique ideals
commencing full merge
memory use: 20048.0 MB
found 70134540 cycles, need 70072342
weight of 70072342 cycles is about 8409316266 (120.01/cycle)
distribution of cycle lengths:
1 relations: 4697219
2 relations: 5089969
3 relations: 5433471
4 relations: 5432869
5 relations: 5495154
6 relations: 5428351
7 relations: 5211829
8 relations: 4928798
9 relations: 4532377
10+ relations: 23822305
heaviest cycle: 28 relations
commencing cycle optimization
start with 560882223 relations
pruned 19098959 relations
memory use: 16245.5 MB
distribution of cycle lengths:
1 relations: 4697219
2 relations: 5208416
3 relations: 5636060
4 relations: 5617967
5 relations: 5717993
6 relations: 5624587
7 relations: 5413703
8 relations: 5076769
9 relations: 4648077
10+ relations: 22431551
heaviest cycle: 28 relations
RelProcTime: 4571
elapsed time 01:16:23
Msieve v. 1.54 (SVN 03e8738)
random seeds: 95b0afac d58c1bc1
Using 32 OpenMP threads
factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (301-digit input)
R0: -10000000000000000000000000000000000000000000000000000
R1: 1
A0: 1
A1: 0
A2: 0
A3: 10
A4: 0
A5: 0
A6: 100
skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
commencing linear algebra
using VBITS=256
read 70072342 cycles
cycles contain 250842437 unique relations
read 250842437 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 33524.4 MB
read 70072342 cycles
matrix is 70072165 x 70072342 (33432.7 MB) with weight 9689382635 (138.28/col)
sparse part has weight 7993393340 (114.07/col)
filtering completed in 2 passes
matrix is 70071650 x 70071825 (33432.7 MB) with weight 9689366449 (138.28/col)
sparse part has weight 7993389930 (114.07/col)
matrix starts at (0, 0)
matrix is 70071650 x 70071825 (33432.7 MB) with weight 9689366449 (138.28/col)
sparse part has weight 7993389930 (114.07/col)
saving the first 240 matrix rows for later
matrix includes 256 packed rows
matrix is 70071410 x 70071825 (31241.0 MB) with weight 7385816689 (105.40/col)
sparse part has weight 7068490644 (100.87/col)
Msieve v. 1.54 (SVN unknown)
random seeds: 251b2ce5 114b0fd1
Using 32 OpenMP threads
factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (301-digit input)
R0: -10000000000000000000000000000000000000000000000000000
R1: 1
A0: 1
A1: 0
A2: 0
A3: 10
A4: 0
A5: 0
A6: 100
skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
commencing linear algebra
using VBITS=256
skipping matrix build
matrix starts at (0, 0)
matrix is 70071650 x 70071825 (33432.7 MB) with weight 9689366449 (138.28/col)
sparse part has weight 7993389930 (114.07/col)
saving the first 240 matrix rows for later
matrix includes 256 packed rows
matrix is 70071410 x 70071825 (31241.0 MB) with weight 7385816689 (105.40/col)
sparse part has weight 7068490644 (100.87/col)
using GPU 0 (NVIDIA H100 PCIe)
selected card has CUDA arch 9.0
commencing Lanczos iteration
memory use: 73708.7 MB
linear algebra at 0.0%, ETA 75h36m
checking every 10000 dimensions, checkpointing every 930000 dimensions
lanczos halted after 274538 iterations (dim = 70071410)
recovered 40 nontrivial dependencies
BLanczosTime: 276117
elapsed time 76:41:59
Msieve v. 1.54 (SVN 03e8738)
random seeds: d6ea5a4e 0e0c5aab
Using 32 OpenMP threads
factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (301-digit input)
R0: -10000000000000000000000000000000000000000000000000000
R1: 1
A0: 1
A1: 0
A2: 0
A3: 10
A4: 0
A5: 0
A6: 100
skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
commencing square root phase
reading relations for dependency 1
read 35037193 cycles
cycles contain 125421358 unique relations
read 125421358 relations
multiplying 125421358 relations
multiply complete, coefficients have about 4308.20 million bits
initial square root is modulo 67829
sqrtTime: 2268
p133 factor: 1640259175221723797786233348156700513564345502781851447654042775375772294825108377125627674387206196531834389323135517030822828838413
p169 factor: 1198502969560954086012481725168695397135830513406164199283390644836971622395777548502750249372319768692484414977114966914781995864448420397015346304418294720261680325683
elapsed time 00:37:49
- Found by Alfred Eichhorn
Sep 09, 2024 n =15091: 14845413823789711008287828293; ecm: B1 = 1e6; sigma = 2136717002765025
Sep 09, 2024 n =15149: 12301910027669319512906185199; ecm: B1 = 1e6; sigma = 8122641535983119
- Found by Kurt Beschorner
Sep 06, 2024 n = 6655: 47002315541332120475432927835118351; ecm: B1 = 1e6; sigma = 0:3671949798087517
Sep 06, 2024 n =13908: 4796645886147946366365200759449; P-1: B1 = 500e6
Sep 06, 2024 n =13917: 1946882395844921741959; P-1: B1 =150e6
Sep 06, 2024 n =13917: 479634834466543489354729; P-1: B1 =150e6
Sep 06, 2024 n =33423: 1431696564802773760921; P-1: B1 = 23e6
Sep 06, 2024 n=100256: 2129531546192902994273; P-1: B1 = 55e6
Sep 06, 2024 n=100259: 7373367128510290221763; P-1: B1 = 23e6
Sep 06, 2024 n=100261: 2578509001157321; P-1: B1 = 23e6
Sep 06, 2024 n=100265: 1081414204698376192537440361; P-1: B1 = 23e6
Sep 06, 2024 n=100268: 510114955101536530235729; P-1: B1 = 55e6
Sep 06, 2024 n=100270: 92110972364038616356834631775642121; P-1: B1 = 55e6
Sep 06, 2024 n=100271: 22605675903598064150949502733; P-1: B1 = 23e6
Sep 06, 2024 n=159977: 16055910264628866119; gr-mfaktc
Sep 06, 2024 n=160481: 3061777772635910203; gr-mfaktc
Sep 06, 2024 n=160619: 12625299179729486347; gr-mfaktc
Sep 06, 2024 n=160637: 6622464926200147133; gr-mfaktc
Sep 06, 2024 n=160687: 14217364466292133721; gr-mfaktc
Sep 06, 2024 n=160723: 1053461002320903707; gr-mfaktc
Sep 06, 2024 n=160781: 10091891125422883573; gr-mfaktc
Sep 06, 2024 n=160879: 1363625823793966609; gr-mfaktc
- Found by Kurt Beschorner
Aug 30, 2024 n = 9382: 9300968916181881256379682557271761; ecm: B1 = 1e6; sigma = 0:5919480135446658
Aug 30, 2024 n = 9388: 6367464694402438045010892622442009; ecm: B1 = 1e6; sigma = 0:7946659145174239
Aug 30, 2024 n = 9404: 22051978558725308479114046671949; ecm: B1 = 1e6; sigma = 0:5927629009860808
Aug 30, 2024 n =13891: 3783946127200973031121; P-1: B1 = 150e6
Aug 30, 2024 n=100243: 2801869717572335479993639; P-1: B1 = 23e6
Aug 30, 2024 n=100247: 2270707106604318898415803; P-1: B1 = 23e6
Aug 30, 2024 n=100248: 137328742232380242793; P-1: B1 = 55e6
Aug 30, 2024 n=100249: 3589469193300853; P-1: B1 = 23e6
Aug 30, 2024 n=100251: 57734074812011041; P-1: B1 = 23e6
Aug 30, 2024 n=100252: 288219713789126385282941; P-1: B1 = 55e6
Aug 30, 2024 n=158761: 672701845713258917; gr-mfaktc
Aug 30, 2024 n=158849: 1725374401029737483; gr-mfaktc
Aug 30, 2024 n=159233: 529647323937549359; gr-mfaktc
Aug 30, 2024 n=159589: 5519361762904215599; gr-mfaktc
Aug 30, 2024 n=159673: 86101299875254837; gr-mfaktc
Aug 30, 2024 n=159673: 4106033786290026523; gr-mfaktc
- Refound by Torbjörn Granlund
These factors are included in other factor collections, but were missing in my list so far
Aug 25, 2024 n = 6021: 23308378966227762884772440482213; ecm: B1 = 5e5; sigma = 1:2763443333
Aug 25, 2024 n = 6039: 618705572139372055392845874667; ecm
Aug 25, 2024 n = 6077: 131250203872602296917762907; ecm
Aug 25, 2024 n = 6109: 572304669039890040281668915751; ecm: B1 = 5e5; sigma = 1:2790569943
Aug 25, 2024 n = 6129: 82258264783630847326576167169759; ecm: B1 = 5e5; sigma = 1:1157681981
Aug 25, 2024 n = 6141: 7674353218561984441674367003; ecm: B1 = 1e6; sigma = 9291063370823
Aug 25, 2024 n = 6511: 29364035473504104631839304799; ecm: B1 = 5e5; sigma = 1:4134148097
Aug 25, 2024 n = 6585: 9708257864061709876965357361; ecm: B1 = 5e5; sigma = 1:1421757241
Aug 25, 2024 n = 6699: 63215543447578696429538053; ecm: B1 = 5e5; sigma = 1:4106642173
Aug 25, 2024 n = 8343: 454691884393831469612926843; ecm
- Found by Anonymous
Jul 31, 2024 n = 1322: 32428891213264191224745951834819424405467767 * 4620246399......P608;
- Found by Anonymous
Aug 22, 2024 n = 2342: 1277793770824393367115298917352334092381609;
Aug 22, 2024 n = 2966: 95981284857953712560599708643474527;
Aug 22, 2024 n=110158: 745282464034481898056474303437;
Aug 22, 2024 n=111854: 177644219562011245398893;
- Found by Kurt Beschorner
Aug 21, 2024 n = 5681: 107401683479315589206835972735096277; ecm: B1 = 1e6; sigma = 0:4319425451299188
Aug 21, 2024 n = 9374: 106678980116741885690755417326646783; ecm: B1 = 1e6; sigma = 0:5204325677688199
Aug 21, 2024 n =13855: 456647776571096966682457032601; P-1: B1 = 200e6
Aug 21, 2024 n =13865: 18952458289368990140570605351; P-1: B1 = 175e6
Aug 21, 2024 n =13875: 20231400133345763391573474001; P-1: B1 = 175e6
Aug 21, 2024 n =13877: 2665599110827931151219887243864069553535617569; P-1: B1 = 175e6
Aug 21, 2024 n =13881: 613342693696505872009; P-1: B1 = 175e6
Aug 21, 2024 n =14319: 10344827787841879150524132169; P-1: B1 = 23e6
Aug 21, 2024 n =33411: 3967059885436254664099519; P-1: B1 = 23e6
Aug 21, 2024 n=157561: 5998484463028396333; gr-mfaktc
Aug 21, 2024 n=157889: 6489787974242716681; gr-mfaktc
Aug 21, 2024 n=157999: 98725868644107347; gr-mfaktc
Aug 21, 2024 n=158591: 1270898937718055791; gr-mfaktc
Aug 21, 2024 n=158731: 2774590512897177347; gr-mfaktc
- Found by Torbjörn Granlund
Aug 20, 2024 n = 1651: 275217017911139624191776255507977127851519; ecm: B1 = 1e6; sigma = 1:2194818103
Aug 20, 2024 n = 1841: 13025697981837238885482617576986077347; ecm: B1 = 2e6; sigma = 1:2177576267
Aug 20, 2024 n = 1891: 25728430999471065289640031125872987; ecm: B1 = 5e5; sigma = 1:3646079215
Aug 20, 2024 n = 2099: 904895108749261583158479086319155797; ecm: B1 = 1e6; sigma = 120529647102471
Aug 20, 2024 n = 2305: 216435273116164865199941012008081; ecm: B1 = 1e6; sigma = 1:2792610879
Aug 20, 2024 n = 2321: 7819586608885407861280912213052933; ecm: B1 = 2e6; sigma = 144531525929635
Aug 20, 2024 n = 2361: 15093661730388660744164111101395889; ecm
Aug 20, 2024 n = 2413: 945153149166264948533842733420136547; ecm: B1 = 1e6; sigma = 30278076774429
Aug 20, 2024 n = 2453: 805882633277252112088879931097297947; ecm: B1 = 2e6; sigma = 116639200445373
Aug 20, 2024 n = 2495: 14339967467738136676523658916529111; ecm: B1 = 1e6; sigma = 1:3516144215
Aug 20, 2024 n = 2817: 19763398523108376154207863498493214803; ecm: B1 = 2e6; sigma = 1:1298358369
Aug 20, 2024 n = 2849: 1066161704325642263898000395207191477; P-1: B1 = 1e8
Aug 20, 2024 n = 2921: 2318555267727405835742851813721; ecm: B1 = 5e5; sigma = 1:4248825949
Aug 20, 2024 n = 2995: 284277203341019855415851097076878001; ecm: B1 = 2e6; sigma = 53292640982751
Aug 20, 2024 n = 3303: 17001394447702258475801953896133; ecm: B1 = 1e6; sigma = 1:164161343
Aug 20, 2024 n = 3403: 7709805385433232909996248569396122289; ecm: B1 = 1e6; sigma = 756340299292
Aug 20, 2024 n = 3613: 791933522809774878033488285297044583803; ecm: B1 = 5e5; sigma = 1:799608949
Aug 20, 2024 n = 3811: 29858372234782008133506150260148517; ecm: B1 = 1e6; sigma = 1:2792610879
Aug 20, 2024 n = 3911: 18918639432157448162617460631131878973; ecm: B1 = 5e5; sigma = 1:443161973
Aug 20, 2024 n = 3923: 44626167058457804083500990661961; ecm: B1 = 5e5; sigma = 1:2340622139
Aug 20, 2024 n = 3941: 156231445687689775996693860568271; ecm: B1 = 1e6; sigma = 1:121282519
Aug 20, 2024 n = 3977: 2354312200678631452069214594821314015641; ecm: B1 = 1e6; sigma = 756340299292
Aug 20, 2024 n = 4125: 86059536640000496045815898721001; ecm: B1 = 1e6; sigma = 1:2200366123
Aug 20, 2024 n = 4319: 9422301660512506090795954466290799; ecm: B1 = 3e6; sigma = 1:177065869
Aug 20, 2024 n = 4393: 865255910975605274092556312523773; ecm: B1 = 3e6; sigma = 1:173734405
Aug 20, 2024 n = 4543: 588604060502740427330089290043351; ecm: B1 = 1e6; sigma = 1:2991743399
Aug 20, 2024 n = 4673: 4345443283056620687247864599302382797; ecm: B1 = 1e6; sigma = 1:3966327997
Aug 20, 2024 n = 4757: 2801002227013271452145195299558637776841; ecm: B1 = 1e6; sigma = 192084558329613
Aug 20, 2024 n = 4805: 110892774637887477659990433599099441; ecm: B1 = 5e5; sigma = 1:3281332265
Aug 20, 2024 n = 5239: 48210422609883103613072789653231729; ecm: B1 = 1e6; sigma = 80482442127625
Aug 20, 2024 n = 5331: 2816300997574793172646729775188850191; ecm: B1 = 5e5; sigma = 1:1564726371
Aug 20, 2024 n = 5699: 64766941561181774734373002834423813; ecm: B1 = 5e5; sigma = 1:1274567173
Aug 20, 2024 n = 5785: 39654135024926477843166872734614906521; ecm: B1 = 5e5; sigma = 1:1199392889
Aug 20, 2024 n = 5871: 65942014250649795606197848118521; ecm: B1 = 1e6; sigma = 52967061287689
Aug 20, 2024 n = 5935: 712210020588854919195548201211311; ecm: B1 = 5e5; sigma = 1:3855436389
Aug 20, 2024 n = 5989: 36923066507963101716971022287147; ecm: B1 = 1e6; sigma = 52967061287689
Aug 20, 2024 n = 6001: 695816812023656477562394175892797; ecm: B1 = 5e5; sigma = 1:1088594985
Aug 20, 2024 n = 6323: 315438813996319438031657566306729; ecm: B1 = 25e4; sigma = 1:1373130007
Aug 20, 2024 n = 6367: 21345380483323818968803525877502810443; ecm: B1 = 5e5; sigma = 1:1564726371
Aug 20, 2024 n = 6413: 69615667805021500294627143908293; ecm: B1 = 5e5; sigma = 1:1064874425
Aug 20, 2024 n = 6425: 27345173228035282739638463755096201; ecm: B1 = 5e5; sigma = 1:916047441
Aug 20, 2024 n = 6459: 4627697372220068903113651202699449; ecm
Aug 20, 2024 n = 6463: 33976933348129210891637803696471; ecm: B1 = 5e5; sigma = 1:1064874425
Aug 20, 2024 n = 6505: 771799133272450765286793118681; ecm
Aug 20, 2024 n = 6531: 20515216490975134970589492865957; ecm: B1 = 5e5; sigma = 1:3134844861
Aug 20, 2024 n = 6547: 26082784537768285040784962616203; ecm: B1 = 5e5; sigma = 1:3186806677
Aug 20, 2024 n = 6579: 30501891916761369005083200765507831649; P-1: B1 = 1e8
Aug 20, 2024 n = 6627: 207229602677110354999505334024037; ecm: B1 = 1e6; sigma = 1:3318069251
Aug 20, 2024 n = 6633: 59925833228400736755484667890693; ecm: B1 = 5e5; sigma = 1:4049122495
Aug 20, 2024 n = 6635: 496404891911358902350041179362831; ecm: B1 = 5e5; sigma = 1:1293962689
Aug 20, 2024 n = 6711: 7144586569612918208700259798639; ecm: B1 = 1e6; sigma = 1:1318957861
Aug 20, 2024 n = 6749: 10793463478838927967624074051197; ecm: B1 = 1e6; sigma = 0:180146487010777
Aug 20, 2024 n = 6827: 50807343997336659532852562053547; ecm: B1 = 1e6; sigma = 1:4261948433
Aug 20, 2024 n = 6853: 4407897845005598926599049755323; ecm: B1 = 1e6; sigma = 1:105806636643035
Aug 20, 2024 n = 6855: 813532341364371691666368330069631; ecm: B1 = 5e5; sigma = 1:3404967785
Aug 20, 2024 n = 6863: 45576442660261405454027843005099279363; ecm: B1 = 5e5; sigma = 1:4017018739
Aug 20, 2024 n = 6885: 1199045447656509408148014511681; ecm: B1 = 1e6; sigma = 0:105806636643035
Aug 20, 2024 n = 6895: 345254099442479690466807243161; ecm: B1 = 5e5; sigma = 1:3951530911
Aug 20, 2024 n = 6983: 1016624078655033790209211909154053; ecm: B1 = 5e5; sigma = 1:562663719
Aug 20, 2024 n = 7011: 308573070164753259193607112742747; ecm: B1 = 5e5; sigma = 1:3092943329
Aug 20, 2024 n = 7027: 3270662421470064751270391979111641; ecm: B1 = 25e4; sigma = 1:1767257015
Aug 20, 2024 n = 7041: 350676874085293214078098349707; ecm: B1 = 1e6; sigma = 0:145129032457365
Aug 20, 2024 n = 7077: 13016598920031794002941702559; ecm: B1 = 5e5; sigma = 1:2078807511
Aug 20, 2024 n = 7079: 211936457265809995565760245520973; ecm: B1 = 5e5; sigma = 1:262151673
Aug 20, 2024 n = 7115: 69481578807619036204623270154076561; ecm: B1 = 5e5; sigma = 1:1051968875
Aug 20, 2024 n = 7155: 2363421643121012840509778918901271; ecm: B1 = 5e5; sigma = 1:3855436389
Aug 20, 2024 n = 7259: 8189484816570707340091163330635453; ecm: B1 = 5e5; sigma = 1:3485439623
Aug 20, 2024 n = 7371: 7595905095301842399593540737711; ecm: B1 = 5e5; sigma = 1:3087225587
Aug 20, 2024 n = 7403: 102810485748819791639879926615169; ecm: B1 = 5e5; sigma = 1:714400689
Aug 20, 2024 n = 7451: 1258746002886628455412882180639; ecm: B1 = 5e5; sigma = 1:1210794309
Aug 20, 2024 n = 7505: 1744960597338433533447362115952081; ecm: B1 = 1e6; sigma = 1:1393014461
Aug 20, 2024 n = 7627: 10280281551935956005167840871450787; ecm: B1 = 5e5; sigma = 1:1559371313
Aug 20, 2024 n = 7751: 147104989244161239270656842614006284071; ecm: B1 = 5e5; sigma = 1:4130667131
Aug 20, 2024 n = 7773: 624701770395169312585090935732649; ecm: B1 = 5e5; sigma = 1:1157681981
Aug 20, 2024 n = 7827: 7293854796500084099657229729157; ecm: B1 = 1e6; sigma = 1:1156762131
Aug 20, 2024 n = 7847: 99557767070717924371208413000293881; ecm
Aug 20, 2024 n = 7861: 898119705955942710848729642627; ecm: B1 = 5e5; sigma = 1:2790569943
Aug 20, 2024 n = 7889: 215231103155467706279277026425453; ecm: B1 = 5e5; sigma = 1:202868745
Aug 20, 2024 n = 7897: 385449578021310700390256413787; ecm
Aug 20, 2024 n = 7987: 8883682708391634937679236698173; ecm: B1 = 5e5; sigma = 1:2489921303
Aug 20, 2024 n = 8041: 15477413700845533672594920389159; ecm: B1 = 5e5; sigma = 1:3116732165
Aug 20, 2024 n = 8053: 41902595593620392086855271026079; ecm: B1 = 1e6; sigma = 1:1368566913
Aug 20, 2024 n = 8115: 1769701865578466450153518679881; ecm: B1 = 5e5; sigma = 1:3003735203
Aug 20, 2024 n = 8201: 17770709819243095708975667749958463949643; ecm: B1 = 5e5; sigma = 1:3446626047
Aug 20, 2024 n = 8237: 219464278700937029463657983203; ecm: B1 = 5e5; sigma = 1:2790569943
Aug 20, 2024 n = 8245: 4595241096933927040005468109324991; ecm: B1 = 5e5; sigma = 1:4134148097
Aug 20, 2024 n = 8257: 29619972904892450273922341588641; ecm: B1 = 1e6; sigma = 80482442127625
Aug 20, 2024 n = 8421: 891574094727581152824232840516519; ecm: B1 = 5e5; sigma = 1:1903005545
Aug 20, 2024 n = 8457: 16591431242812670951237114925751; ecm: B1 = 1e6; sigma = 9291063370823
Aug 20, 2024 n = 8477: 13155977065160004722127813180227; ecm: B1 = 5e5; sigma = 1:1088594985
Aug 20, 2024 n = 8537: 7068078234757599410245923277; ecm: B1 = 5e5; sigma = 1:1428254743
Aug 20, 2024 n = 8545: 101646283310197475908829512121; ecm: B1 = 5e5; sigma = 1:3087225587
Aug 20, 2024 n = 8575: 5293740271005338383592716601; ecm: B1 = 5e5; sigma = 1:190540483
Aug 20, 2024 n = 8577: 634815482288444139636540572011003; ecm: B1 = 5e5; sigma = 1:149514197612885
Aug 20, 2024 n = 8639: 818877774370128142691864096231; ecm: B1 = 5e5; sigma = 1:2043845067
Aug 20, 2024 n = 8735: 12192865776540531965438812912547431; ecm: B1 = 5e5; sigma = 1:2256808913
Aug 20, 2024 n = 8737: 13361685887895082160085395228039; ecm: B1 = 5e5; sigma = 1:3738655573
Aug 20, 2024 n = 8745: 2272528654159007646526616145391; ecm: B1 = 1e6; sigma = 1:2923719129
Aug 20, 2024 n = 8829: 1513085581534586859396871232498095957759; ecm: B1 = 5e5; sigma = 1:2044862669
Aug 20, 2024 n = 8869: 1628099806387144273085256658529; ecm: B1 = 5e5; sigma = 1:1772750603
Aug 20, 2024 n = 8959: 749539463454661849173837786563; ecm: B1 = 1e6; sigma = 1:2780467357
Aug 20, 2024 n = 9283: 8013308143108550298429503948087441; ecm: B1 = 5e5; sigma = 1:562663719
Aug 20, 2024 n = 9419: 5684469744053776020964152035591; ecm: B1 = 5e5; sigma = 1:121282519
Aug 20, 2024 n = 9437: 1624851391389487899053479556237; ecm: B1 = 5e5; sigma = 1:799608949
Aug 20, 2024 n = 9473: 136213632400294112039787697679; ecm: B1 = 1e6; sigma = 113918028976573
Aug 20, 2024 n = 9485: 308062384945102512389982980881; ecm: B1 = 25e4; sigma = 1:3226404411
Aug 20, 2024 n = 9655: 304548237530189995568241284486281; ecm: B1 = 5e5; sigma = 1:4248825949
Aug 20, 2024 n = 9725: 6266679657139037831692848478951; ecm: B1 = 5e5; sigma = 1:153953135
Aug 20, 2024 n = 9777: 1707913452762899722866250746001; ecm: B1 = 1e6; sigma = 1:1368566913
Aug 20, 2024 n = 9885: 1373181471814143351694865705521; ecm: B1 = 5e5; sigma = 1:2610241785
Aug 20, 2024 n = 9935: 7881330031472834202922901774150160151; ecm: B1 = 5e5; sigma = 1:153953135
- Found by Kurt Beschorner
Aug 12, 2024 n = 9442: 4052157023046612121139511209683398529; ecm: B1 = 1e6; sigma = 0:3565740379605301457
Aug 12, 2024 n = 9448: 7338135276821871674079344603010953; ecm: B1 = 1e6; sigma = 0:11602320950923801947
Aug 12, 2024 n =14317: 6244588599937216531003831; P-1: B1 = 23e6
Aug 12, 2024 n=100217: 177461650174240446229859314688317; P-1: B1 = 23e6
Aug 12, 2024 n=100219: 1267861060221281; P-1: B1 = 23e6
Aug 12, 2024 n=100219: 1312970789851169; P-1: B1 = 23e6
Aug 12, 2024 n=100221: 13832902008141117617827; P-1: B1 = 23e6
- Found by Alfred Eichhorn
Aug 11, 2024 n =14369: 6252123219579321033213298399; ecm: B1 = 1e6; sigma = 2508837445113559
Aug 11, 2024 n =20963: 679855362627476703188888563288481; ecm: B1 = 1e6; sigma = 2476641858178927
Aug 11, 2024 n =21929: 1442656925526309675517766997677; ecm: B1 = 1e6; sigma = 8039991546359893
Aug 11, 2024 n =21937: 8472869234992293321112289; ecm: B1 = 1e6; sigma = 4102916080405166
- Found by Kurt Beschorner
Aug 05, 2024 n =14316: 57346926970351862773268747899315323798217129; P-1: B1 = 55e6
Aug 05, 2024 n =33404: 2842302772256147755172610821669; P-1: B1 = 55e6
Aug 05, 2024 n=100216: 4723351119100314857559865270748770769; P-1: B1 = 55e6
Aug 05, 2024 n=156817: 108632521422322241; gr-mfaktc
Aug 05, 2024 n=156913: 5023303367908589107; gr-mfaktc
- Found by Kurt Beschorner
Aug 03, 2024 n = 9428: 2370468745271779901326864609926829; ecm: B1 = 1e6; sigma = 0:1560246379640767270
Aug 03, 2024 n = 9705: 76753429826310638321101265149201; ecm: B1 = 1e6; sigma = 0:861848002098196
Aug 03, 2024 n = 9795: 40441561262801004062488422962196368791; ecm: B1 = 1e6; sigma = 0:4001697049805009211
Aug 03, 2024 n =13799: 225884482231168124105632363243; P-1: B1 = 150e6
Aug 03, 2024 n =13809: 254549964727519328742841; P-1: B1 = 150e6
Aug 03, 2024 n =13837: 4585227773759256410020228867; P-1: B1 = 150e6
Aug 03, 2024 n =33402: 42216466210272128093191353979; P-1: B1 = 55e6
Aug 03, 2024 n=100191: 255101965378397273674357; P-1: B1 = 23e6
Aug 03, 2024 n=100194: 426230986986026617893247; P-1: B1 = 55e6
Aug 03, 2024 n=155579: 9514397111067708403; gr-mfaktc
Aug 03, 2024 n=156059: 635634025160003827; gr-mfaktc
Aug 03, 2024 n=156227: 8590295976939445399; gr-mfaktc
Aug 03, 2024 n=156347: 13071673667955473161; gr-mfaktc
Aug 03, 2024 n=156539: 6844820953215681911; gr-mfaktc
Aug 03, 2024 n=156619: 12648044075298729563; gr-mfaktc
Aug 03, 2024 n=156679: 13136467037721548159; gr-mfaktc
Aug 03, 2024 n=156733: 791344277329055227; gr-mfaktc
- Found by NFS@Home
Jul 28, 2024 n = 730: 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371; SNFS
- Found by Alfred Eichhorn
Jul 21, 2024 n =13613: 15262282368599483015998894649; ecm: B1 = 1e6; sigma = 5210964136833681
- Found by Kurt Beschorner
Jul 21, 2024 n =13733: 11066901234321643251415990246667; P-1: B1 = 150e6
Jul 21, 2024 n =13739: 815051569821918488835533038711; P-1: B1 = 150e6
Jul 21, 2024 n =13751: 30084129960755867761834373333372723; P-1: B1 = 150e6
Jul 21, 2024 n =13756: 3070906950345823080010940982444870941; P-1: B1 = 400e6
Jul 21, 2024 n =13769: 238899466227509549998368631; P-1: B1 = 175e6
Jul 21, 2024 n=100187: 4212448211184003403; P-1: B1 = 23e6
Jul 21, 2024 n=154459: 654674838797941477; gr-mfaktc
Jul 21, 2024 n=154897: 288575490359805653; gr-mfaktc
Jul 21, 2024 n=154981: 659143481425129271; gr-mfaktc
Jul 21, 2024 n=154981: 725117156196649187; gr-mfaktc
Jul 21, 2024 n=155017: 1537923485747759557; gr-mfaktc
Jul 21, 2024 n=155137: 6213654742199632163; gr-mfaktc
- Found by Alfred Eichhorn
Jun 29, 2024 n =13523: 13387751970993012362901079637; ecm: B1 = 1e6; sigma = 5381565215536551
Jun 29, 2024 n =20411: 8856502355660511775523407391; ecm: B1 = 1e6; sigma = 7929625471060670
Jun 29, 2024 n =20431: 18699538092936415160078201691271; ecm: B1 = 1e6; sigma = 1168082089032586
Jun 29, 2024 n =20483: 41932266046649700904863383587; ecm: B1 = 1e6; sigma = 3257560573251327
Jun 29, 2024 n =20641: 84562062985268488366611846511; ecm: B1 = 1e6; sigma = 7612567426602960
Jun 29, 2024 n =20717: 466634734466535006245712555307; ecm: B1 = 1e6; sigma = 146688564762787
- Found by Torbjörn Granlund
Jul 16, 2024 n = 731: 1847429475936181681973479760912708743358821710551; ecm: B1 =11e6; sigma = 1:3939899409
- Found by Torbjörn Granlund
Jul 14, 2024 n =3900M: 44612114135261049915172448202991314405938701; ecm: B1 =11e6; sigma = 1:2348484157
- Found by Torbjörn Granlund
Jul 13, 2024 n = 1556: 1355157068675915381446032476103133130496209; ecm: B1 =11e6; sigma = 1:3330891095
- Found by Torbjörn Granlund
Jul 12, 2024 n = 1408: 106110538711611081989682173453117312268289; ecm: B1 =11e6; sigma = 1:423379121
- Found by Kurt Beschorner
Jul 11, 2024 n = 1525: 315847098431407555514016207329179201; P-1: B1 = 200e6
Jul 11, 2024 n =13721: 1864073211647238592948736905104361; P-1: B1 = 150e6
Jul 11, 2024 n =33395: 1523915962744198013287961; P-1: B1 = 23e6
Jul 11, 2024 n=100175: 290759670245407201; P-1: B1 = 23e6
Jul 11, 2024 n=153701: 1440092232895724267; gr-mfaktc
Jul 11, 2024 n=154211: 17523178529846097809; gr-mfaktc
- Found by NFS@home
Jul 08, 2024 n = 365: 1304946319836672523549871511207656785231498701576036930724645238399101906921; SNFS
Jul 08, 2024 n = 365: 5528825275894858698684129584828307231241005568273768148118728392440732070424671; SNFS
- Found by Anonymous
Jul 08, 2024 n = 8026: 11092134801718675055606994656545513411
Jul 08, 2024 n = 9034: 2112314427024188715300943526715275533
- Found by Torbjörn Granlund
Jul 07, 2024 n =3740M: 813728620031462038871992677376718544646779541; ecm: B1 =11e6; sigma = 1:2213254673
- Found by Torbjörn Granlund
Jul 05, 2024 n = 1538: 9287243504302734314292246493018665305411; ecm: B1 =11e6; sigma = 1:2599237159
- Found by Kurt Beschorner
Jul 04, 2024 n =13687: 3352869000001257408071704371187; P-1: B1 = 150e6
Jul 04, 2024 n =13692: 448790289019202435089828835874995221; P-1: B1 = 550e6
- Found by Anonymous
Jul 04, 2024 n = 3646: 7249609412129031102349676213675320028207
Jul 04, 2024 n = 5426: 421794296629383911904809584049
Jul 04, 2024 n = 5878: 1293862103310971228813269265251889
Jul 04, 2024 n = 9806: 6856501055738088117609720236405115757649
Jul 04, 2024 n = 9874: 116769305954826569316770086211501521
- Found by YOYO@home/philwire
Jul 04, 2024 n = 639: 108404283009093688449943940269189804724790189486660307; ecm: B1 = 2.9e9; sigma = 10714174124914808047
- Found by Torbjörn Granlund
Jul 04, 2024 n = 1484: 12934325238528583194928423610286679740731789; ecm: B1 =11e6; sigma = 1:85680977
Jul 04, 2024 n = 1654: 2014736089669888940425352477546278092192268265858033129; ecm: B1 =11e6; sigma = 1:1681499511
- Found by Kurt Beschorner
Jul 04, 2024 n = 7599: 4944885332403182509417069471681; ecm: B1 = 1e6; sigma = 3792909555228110
Jul 04, 2024 n =13664: 17782554637005831866125656641; P-1: B1 = 450e6
Jul 04, 2024 n =13667: 5032044810625021177332187; P-1: B1 = 158e6
Jul 04, 2024 n=100172: 340257492271303914975039056389; P-1: B1 = 55e6
Jul 04, 2024 n=153077: 116991563943187237; gr-mfaktc
Jul 04, 2024 n=153277: 283051850735220719; gr-mfaktc
- Found by Alfred Eichhorn
Jun 29, 2024 n =20143: 195336622099383139974192234034547; ecm: B1 = 1e6; sigma = 3729048310073734
- Found by Kurt Beschorner
Jun 29, 2024 n = 6565: 967455252377753723469264601; ecm: B1 = 1e6; sigma = 5085665109651225
Jun 29, 2024 n = 7209: 245876032391282720514670601435797; ecm: B1 = 1e6; sigma = 7176496071620092
Jun 29, 2024 n =13651: 63685984885065209582819476115071; P-1: 1e6 = 165e6
Jun 29, 2024 n=152249: 667640256156011561; gr-mfaktc
Jun 29, 2024 n=152407: 3863061623316166853; gr-mfaktc
Jun 29, 2024 n=152417: 4384597323140904347; gr-mfaktc
- Found by Alfred Eichhorn
Jun 27, 2024 n =12611: 151596145122775505868566782271 * 7329415337......P12581 ecm: B1 = 1e6; sigma = 1891578441988465
- Found by Alfred Eichhorn
Jun 24, 2024 n =73847: 7891144115301619472022803497889; ecm: B1 = 5e4; sigma = 430692243951430
Jun 24, 2024 n =74507: 1096611993139741046923; ecm: B1 = 5e4; sigma = 6502661398168781
Jun 24, 2024 n =74507: 144576321485621311976359; ecm: B1 = 5e4; sigma = 5710557500718102
Jun 24, 2024 n =74527: 18472086123310264797552077; ecm: B1 = 5e4; sigma = 5012480456469592
Jun 24, 2024 n =74587: 12585888766454654778477001; ecm: B1 = 5e4; sigma = 5787057121355163
Jun 24, 2024 n =74707: 2246495418530976647385485111; ecm: B1 = 5e4; sigma = 4865186604072078
Jun 24, 2024 n =74929: 23613576233446350795077641; ecm: B1 = 5e4; sigma = 3815193115992148
- Found by Torbjörn Granlund
Jun 21, 2024 n = 1870: 30981838801127734361302339269066902886001; ecm: B1 =11e6; sigma = 1:3306279234
- Found by Torbjörn Granlund
Jun 18, 2024 n =3540M: 154364888033739260172380158583232052475743273261; ecm: B1 =11e6; sigma = 1:1431821900
- Found by Torbjörn Granlund
Jun 17, 2024 n = 891: 5768352029220733367366868921292458501408214165423363; ecm: B1 =11e7; sigma = 1:333812611
- Found by Torbjörn Granlund
Jun 16, 2024 n = 1672: 545358172357012292201336067885308067971306777; ecm
- Found by Torbjörn Granlund
Jun 15, 2024 n = 1392: 10825430995573655349911905703088339464977; ecm
- Found by Torbjörn Granlund
Jun 14, 2024 n = 1792: 4560897401317754430626820629544566062629889; ecm
- Found by Kurt Beschorner
Jun 14, 2024 n = 7821: 10391751287135966688011512453; ecm B1 = 1e6; sigma = 409243078866167
Jun 14, 2024 n =13548: 12997605280355035463166531521403529; P-1: B1 = 500e6
Jun 14, 2024 n =13562: 15353741655549410028804307084051; P-1: B1 = 325e6
Jun 14, 2024 n =13563: 77411955285810787348651626991; P-1: B1 = 165e6
Jun 14, 2024 n =13593: 177925771645928134641547027; P-1: B1 = 150e6
Jun 14, 2024 n =13612: 17167210449977525602398480599175117101; P-1: B1 = 375e6
Jun 14, 2024 n =20032: 2505607329459631611641153; P-1: B1 = 55e6
Jun 14, 2024 n =33385: 747826005686416007231; P-1: B1 = 55e6
Jun 14, 2024 n =33387: 106504353311117769139519; P-1: B1 = 20e6
Jun 14, 2024 n=150883: 97118496609892523; gr-mfaktc
Jun 14, 2024 n=150901: 563456271424457431; gr-mfaktc
Jun 14, 2024 n=150919: 2079148442457322799; gr-mfaktc
Jun 14, 2024 n=151171: 608634030260192639; gr-mfaktc
Jun 14, 2024 n=151247: 113196576201967147; gr-mfaktc
Jun 14, 2024 n=151429: 147222954843343733; gr-mfaktc
Jun 14, 2024 n=151499: 146383186511736689; gr-mfaktc
- Found by Torbjörn Granlund
Jun 12, 2024 n = 1496: 28330881496644957570065523400505204114494529; ecm
- Found by Torbjörn Granlund
Jun 09, 2024 n = 1430: 82419252546478457878215964924871918728196281; ecm
- Found by Yousuke Koide
Jun 03, 2024 n = 938: 11562710405302740261753778982810543629872202227744910916651 * 6120646518......P312; ecm: B1 =3e8; sigma = 2:4970505043646219549
- Found by Kurt Beschorner
Jun 03, 2024 n =13475: 14034822309195006833617951; P-1: B1 = 150e6
Jun 03, 2024 n =13501: 204470063667253089494397679362163; P-1: B1 = 150e6
Jun 03, 2024 n =13505: 447230547521550428905961; P-1: B1 = 160e6
Jun 03, 2024 n =33384: 7821295128811946507432484961; P-1: B1 = 55e6
Jun 03, 2024 n=100145: 668544845427588593671; P-1: B1 = 20e6
Jun 03, 2024 n=100152: 2015344433453833; P-1: B1 = 55e6
Jun 03, 2024 n=149341: 337426151183136437; gr-mfaktc
Jun 03, 2024 n=149729: 522185468610743293; gr-mfaktc
Jun 03, 2024 n=149893: 234739865552796839; gr-mfaktc
Jun 03, 2024 n=149911: 641276195249134517; gr-mfaktc
Jun 03, 2024 n=149953: 3666251351417794037; gr-mfaktc
Jun 03, 2024 n=150211: 4128566210846845711; gr-mfaktc
Jun 03, 2024 n=150517: 1452830539950831049; gr-mfaktc
- Found by Alfred Eichhorn
May 29, 2024 n =73693: 200046209932683892220519 * 8236393422......c73650; ecm B1 = 5e4; sigma = 7063252640234059
May 29, 2024 n =74279: 1643398485800760569800597963 * 6761057167......c74251; ecm B1 = 5e4; sigma = 0:3190123306072765
- Found by Sam Wagstaff
May 28, 2024 n = 433: 8824028723798902981997215284751342520751929886344438185486188157; ecm
- Found by Kurt Beschorner
May 20, 2024 n =13391: 1793492413423312326764415268439; P-1: B1 = 400e6
May 20, 2024 n =13403: 1273543812643453522963599991; P-1: B1 = 150e6
May 20, 2024 n =13405: 369025298556704617267721; P-1: B1 = 160e6
May 20, 2024 n =13409: 194192011616958540654680651965361; P-1: B1 = 150e6
May 20, 2024 n =13410: 152178270161972061588566451931; P-1: B1 = 650e6
May 20, 2024 n=100135: 815970507695643165200161; P-1: B1 = 22e6
May 20, 2024 n=100136: 1546658379143032144324057; P-1: B1 = 22e6
May 20, 2024 n=100136: 29303671942968558470094241; P-1: B1 = 22e6
May 20, 2024 n=149099: 191666476417472557; gr-mfaktc
May 20, 2024 n=149197: 6018787351196629987; gr-mfaktc
- Found by Kurt Beschorner
May 14, 2024 n =13310: 358431625219151747847359198249482811; P-1: B1 = 375e6
May 14, 2024 n =13317: 310201028691515049948813827173; P-1: B1 = 150e6
May 14, 2024 n =13335: 57025106614551649638121; P-1: B1 = 160e6
May 14, 2024 n =13383: 210951149080654081665994312063747; P-1: B1 = 160e6
May 14, 2024 n =13387: 10821004067230761918288895517; P-1: B1 = 150e6
May 14, 2024 n=100128: 12965255566706017; P-1: B1 = 55e6
May 14, 2024 n=100133: 1904718174391121; P-1: B1 = 18e6
May 14, 2024 n=148249: 5763577084308138631; P-1: B1 = 17e6
May 14, 2024 n=148853: 3201872038854169067; gr-mfaktc
- Found by Alfred Reich
Dec 30, 2023 n =11694: 25265936178377677271923695277; ecm
- Found by Kurt Beschorner
Apr 30, 2024 n = 1407: 1642802515245357383912944034418987319; ecm B1 = 110e6; sigma = 2951090968820559
Apr 30, 2024 n = 2564: 27189275929548127954581257800366864533484049; ecm B1 = 110e6; sigma = 2371963344321011
Apr 30, 2024 n =13303: 70942071240313959608007929622671; P-1: B1 = 140e6
Apr 30, 2024 n =13304: 57181546620162299318379978328716132443977; P-1: B1 = 275e6
- Found by Alfred Eichhorn
Apr 29, 2024 n =73361: 1721423059346637677879; ecm B1 = 5e4; sigma = 1582421447520844
Apr 29, 2024 n =73361: 408219527355823133818759; ecm B1 = 5e4; sigma = 3826123512129081
Apr 29, 2024 n =73433: 1480290724528512092611333441; ecm B1 = 5e4; sigma = 7994314783584498
Apr 29, 2024 n =79691: 10288546796776484035092067; ecm B1 = 5e4; sigma = 5445195526405636
- Found by John Lee
Apr 29, 2024 n =12841: 4522160233632425161342305395203; ecm B1 = 3e6; sigma = 851351432404823
Apr 29, 2024 n =17573: 47231703533723987783810453; ecm B1 = 1e6; sigma = 775071180902912
Apr 29, 2024 n =35537: 330417476836465920785432053; ecm B1 = 1e6; sigma = 7926625206541607
- Found by Kurt Beschorner
Apr 20, 2024 n =13265: 1290668262735890884325761; P-1: B1 = 160e6
Apr 20, 2024 n =13269: 2427709598953063772750559319; P-1: B1 = 140e6
Apr 20, 2024 n =13282: 7480441362289212211418170076851; P-1: B1 = 275e6
Apr 20, 2024 n=100118: 2213092040998752430410504041; P-1: B1 = 55e6
Apr 20, 2024 n=100119: 135903373927930060098307; P-1: B1 = 16e6
- Found by YOYO@home/Gouik
Apr 14, 2024 n = 651: 18761726160436368465384904039916752385257524435903404839 * 1876172616......P298; ecm: B1 = 2.9e9; sigma = 0:15913088270609817167
- Found by Kurt Beschorner
Apr 14, 2024 n = 659: 149909896971539560984652057797566890100299359259837 * 2846412051......P570; ecm B1 =11e7; sigma = 0:4226535905387705
Apr 14, 2024 n =13251: 12296428612923146794052172531037; P-1: B1 = 160e6
Apr 14, 2024 n=100098: 17325552919871634468049; P-1: B1 = 35e6
Apr 14, 2024 n=100105: 144493170813628346471; P-1: B1 = 17e6
- Found by Kurt Beschorner
Apr 07, 2024 n =12771: 314224898531750364984013; P-1: B1 = 160e6
Apr 07, 2024 n =12771: 238824929913673638997582363; P-1: B1 = 160e6
Apr 07, 2024 n =13158: 68581509075838066581670099156849; P-1: B1 = 140e6
Apr 07, 2024 n=100079: 6068994380637463834185467; P-1: B1 = 10e6
Apr 07, 2024 n=100363: 1016391456544433853547; P-1: B1 = 15e6
Apr 07, 2024 n=100379: 66388841093949454147; P-1: B1 = 15e6
Apr 07, 2024 n=100417: 286825064305738012150961; P-1: B1 = 15e6
Apr 07, 2024 n=100459: 22782665966376356329; P-1: B1 = 15e6
Apr 07, 2024 n=100517: 17361707890852059740855929; P-1: B1 = 16e6
Apr 07, 2024 n=100519: 101147426853941494945049; P-1: B1 = 16e6
Apr 07, 2024 n=100559: 95610786074378976307; P-1: B1 = 16e6
Apr 07, 2024 n=100591: 1291405529277231477460435169; P-1: B1 = 16e6
Apr 07, 2024 n=100669: 2806386502390207284249241483; P-1: B1 = 16e6
Apr 07, 2024 n=100811: 281860909823518349338601; P-1: B1 = 16e6
Apr 07, 2024 n=100817: 507962247211408289; P-1: B1 = 16e6
Apr 07, 2024 n=147941: 37558743005776041839 *** P-1: B1 = 8.8e6
*** 37558743005776041839 = composite and all small factors are known
Apr 07, 2024 n=147977: 114084230812902508795841; P-1: B1 = 8.8e6
- Found by Alfred Eichhorn
Apr 01, 2024 n =79337: 9145312312862925909640977721; ecm B1 = 5e4; sigma = 7464158329682606
Apr 01, 2024 n =79427: 1284283667245483471417172921; ecm B1 = 5e4; sigma = 5590089294394130
- Found by Kurt Beschorner
Apr 01, 2024 n =14549: 4005021584963302209471746401; P-1: B1 = 14e7
Apr 01, 2024 n =14747: 252632181388341912925629401; P-1: B1 = 14e7
Apr 01, 2024 n=147799: 24724127378034035880566249; P-1: B1 = 8.8e6
- Found by Kurt Beschorner
Mar 29, 2024 n = 713: 31070861795268450321139284436817844468068239; ecm: B1 = 11e7; sigma = 4800378595879534
Mar 29, 2024 n =13175: 422686483673200816801; P-1: B1 = 56e6
Mar 29, 2024 n =13187: 2072300747670825285092510827; P-1: B1 = 35e6
- Found by Alfred Reich
Mar 24, 2024 n = 8914: 1680862037183886151986766096284943; ecm
- Found by Anonymous
Mar 24, 2024 n = 695: 8397548714483238063663389786354175256018831 ecm: B1 = 3e6
Mar 24, 2024 n = 3019: 3139259690159845335135979206644089969
Mar 24, 2024 n = 3023: 107018760919046918330490860941009
Mar 24, 2024 n = 3097: 57179667256536688029715193166703488359641
- Found by Kurt Beschorner
Mar 22, 2024 n = 655: 2603347672124284040229582413722681735668626862241; ecm: B1 =11e7; sigma = 0:3963412036452067
Mar 22, 2024 n =13108: 44331551068710498173013783881; P-1: B1 = 94e6
Mar 22, 2024 n =13131: 276600609054191780298991; P-1: B1 = 60e6
- Found by Alfred Eichhorn
Mar 18, 2024 n =73019: 1323020047051919660237; ecm B1 = 5e4; sigma = 1341369107631264
- Found by NFS@home
Mar 17, 2024 n =1420L: 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901; SNFS
- Found by NFS@home
Mar 13, 2024 n =1420M: 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761; GNFS
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner
Feb 10, 2024 n = 942: 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047; SNFS
Details:
- R942: SNFS-difficulty = 314
Sat Nov 11 11:17:54 2023 Msieve v. 1.54 (SVN r1044)
Sat Nov 11 11:17:54 2023 random seeds: 60253a75 007cd855
Sat Nov 11 11:17:54 2023 factoring 30862083832190969399642448329237079281358998786734541342232902569072683505580523380381489228423400116527554057338104357145657543175005161681489015756307835902130639405231933246244136812560041424780296737530889 (209 digits)
Sat Nov 11 11:17:55 2023 no P-1/P+1/ECM available, skipping
Sat Nov 11 11:17:55 2023 commencing number field sieve (209-digit input)
Sat Nov 11 11:17:55 2023 R0: -10000000000000000000000000000000000000000000000000000
Sat Nov 11 11:17:55 2023 R1: 1
Sat Nov 11 11:17:55 2023 A0: 1
Sat Nov 11 11:17:55 2023 A1: 0
Sat Nov 11 11:17:55 2023 A2: 0
Sat Nov 11 11:17:55 2023 A3: -10
Sat Nov 11 11:17:55 2023 A4: 0
Sat Nov 11 11:17:55 2023 A5: 0
Sat Nov 11 11:17:55 2023 A6: 100
Sat Nov 11 11:17:55 2023 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
Sat Nov 11 11:17:55 2023 commencing relation filtering
Sat Nov 11 11:17:55 2023 setting target matrix density to 130.0
Sat Nov 11 11:17:55 2023 estimated available RAM is 130983.0 MB
Sat Nov 11 11:17:55 2023 commencing duplicate removal, pass 1
Sat Nov 11 11:52:23 2023 error -15 reading relation 196874611
...
Sat Nov 11 15:51:51 2023 skipped 1120644 relations with b > 2^32
Sat Nov 11 15:51:51 2023 skipped 2634 relations with composite factors
Sat Nov 11 15:52:00 2023 found 325844461 hash collisions in 1439959899 relations
Sat Nov 11 15:52:28 2023 commencing duplicate removal, pass 2
Sat Nov 11 17:18:01 2023 found 8457401 duplicates and 1431502498 unique relations
Sat Nov 11 17:18:01 2023 memory use: 16280.0 MB
Sat Nov 11 17:18:03 2023 reading ideals above 812974080
Sat Nov 11 17:18:03 2023 commencing singleton removal, initial pass
Sat Nov 11 22:20:10 2023 memory use: 21024.0 MB
Sat Nov 11 22:20:15 2023 reading all ideals from disk
Sat Nov 11 22:22:13 2023 memory use: 26910.1 MB
Sat Nov 11 22:25:23 2023 commencing in-memory singleton removal
Sat Nov 11 22:28:29 2023 begin with 1431502498 relations and 1210425856 unique ideals
Sat Nov 11 23:38:05 2023 reduce to 962297124 relations and 696430793 ideals in 15 passes
Sat Nov 11 23:38:05 2023 max relations containing the same ideal: 53
Sat Nov 11 23:42:10 2023 reading ideals above 720000
Sat Nov 11 23:42:14 2023 commencing singleton removal, initial pass
Sun Nov 12 03:28:50 2023 memory use: 21024.0 MB
Sun Nov 12 03:28:54 2023 reading all ideals from disk
Sun Nov 12 03:31:44 2023 memory use: 44648.7 MB
...
Tue Nov 14 08:39:49 2023 commencing in-memory singleton removal
Tue Nov 14 08:40:17 2023 begin with 236428517 relations and 235660066 unique ideals
Tue Nov 14 08:47:03 2023 reduce to 236285362 relations and 230413441 ideals in 6 passes
Tue Nov 14 08:47:03 2023 max relations containing the same ideal: 85
Tue Nov 14 08:51:28 2023 relations with 0 large ideals: 127875
Tue Nov 14 08:51:28 2023 relations with 1 large ideals: 95486
Tue Nov 14 08:51:28 2023 relations with 2 large ideals: 1301900
Tue Nov 14 08:51:28 2023 relations with 3 large ideals: 7741623
Tue Nov 14 08:51:28 2023 relations with 4 large ideals: 25166632
Tue Nov 14 08:51:28 2023 relations with 5 large ideals: 49597077
Tue Nov 14 08:51:28 2023 relations with 6 large ideals: 62285102
Tue Nov 14 08:51:28 2023 relations with 7+ large ideals: 89969667
Tue Nov 14 08:51:28 2023 commencing 2-way merge
Tue Nov 14 08:56:46 2023 reduce to 150480987 relation sets and 144609066 unique ideals
Tue Nov 14 08:56:47 2023 commencing full merge
Tue Nov 14 10:39:21 2023 memory use: 18337.9 MB
Tue Nov 14 10:39:51 2023 found 67501310 cycles, need 66981266
Tue Nov 14 10:39:56 2023 weight of 66981266 cycles is about 8707922449 (130.01/cycle)
Tue Nov 14 10:39:56 2023 distribution of cycle lengths:
Tue Nov 14 10:39:56 2023 1 relations: 3801061
Tue Nov 14 10:39:56 2023 2 relations: 4306316
Tue Nov 14 10:39:56 2023 3 relations: 4711699
Tue Nov 14 10:39:56 2023 4 relations: 4725778
Tue Nov 14 10:39:56 2023 5 relations: 4836562
Tue Nov 14 10:39:56 2023 6 relations: 4738034
Tue Nov 14 10:39:56 2023 7 relations: 4697005
Tue Nov 14 10:39:56 2023 8 relations: 4502168
Tue Nov 14 10:39:56 2023 9 relations: 4303068
Tue Nov 14 10:39:56 2023 10+ relations: 26359575
Tue Nov 14 10:39:56 2023 heaviest cycle: 28 relations
Tue Nov 14 10:40:32 2023 commencing cycle optimization
Tue Nov 14 10:44:49 2023 start with 578109023 relations
Tue Nov 14 11:23:20 2023 pruned 25164870 relations
Tue Nov 14 11:23:21 2023 memory use: 15674.6 MB
Tue Nov 14 11:23:21 2023 distribution of cycle lengths:
Tue Nov 14 11:23:21 2023 1 relations: 3801061
Tue Nov 14 11:23:21 2023 2 relations: 4418872
Tue Nov 14 11:23:21 2023 3 relations: 4910588
Tue Nov 14 11:23:21 2023 4 relations: 4919179
Tue Nov 14 11:23:21 2023 5 relations: 5064834
Tue Nov 14 11:23:21 2023 6 relations: 4959291
Tue Nov 14 11:23:21 2023 7 relations: 4926516
Tue Nov 14 11:23:21 2023 8 relations: 4712847
Tue Nov 14 11:23:21 2023 9 relations: 4494751
Tue Nov 14 11:23:21 2023 10+ relations: 24773327
Tue Nov 14 11:23:21 2023 heaviest cycle: 28 relations
Tue Nov 14 11:26:57 2023 RelProcTime: 259742
Tue Nov 14 11:26:57 2023 elapsed time 72:09:03
- Linear Algebra was performed by Oliver Kruse using CAD O and MSIEVE-GPU
- remove duplicates with CADO
- compile CAD O with FLAGS_SIZE='-DSIZEOF_P_R_VALUES=8'.
- run dup1.
- run freerel to get the renumber table.
- count the number of relations exactly (!).
- run dup2.
- run purge, making sure that -col-min-index is not too small and that -keep is set to 0.
- convert all relations back to msieve format using convert_rels.
- the version used is not yet officially available; the currently used CAD O version is not
error-free
- build a matrix with the desired target density using msieve
- upload the matrix file to LambdaLabs, while building Greg Childers msieve-GPU on the target system
- execute the LA (without root step) on a rented 80-GB-VRAM ( H100); time: about 73hours!
- get the dependency file (.dep) back to the local system
- execute the root step (msieve -nc3) locally
| ECM efforts | |
|---|---|
| with Rn: 1 < n < 2000 (Sep 22, 2024) | with Rn: 1999 < n < 3000 (Sep 17, 2024) |
| with Rn: 2999 < n < 4000 (Sep 17, 2024) | with Rn: 3999 < n < 5000 (Sep 17, 2024) |
| with Rn: 4999 < n < 6000 (Sep 29, 2024) | with Rn: 5999 < n < 7000 (Sep 17, 2024) |
| with Rn: 6999 < n < 8000 (Sep 17, 2024) | with Rn: 7999 < n < 9000 (Sep 29, 2024) |
| with Rn: 8999 < n <10000 (Sep 29, 2024) | with Rn: 9999 < n <11000 (Sep 29, 2024) |
| with Rn: 10999 < n <12000 (Sep 15, 2024) | with Rn: 11999 < n <14980L/M (Sep 29, 2024) |
| currently ECM-efforts by yoyo@home: ecm-curves | |||||
|---|---|---|---|---|---|
| B1 = 11e7/17500 curves/ numbers < 951 digits |
643 in progress |
.... in progress |
.... in progress |
.... in progress |
.... in progress |
| B1 = 26e7/45000 curves/ numbers < 600 digits |
557 in progress |
617 in progress |
619 in progress |
625 in progress |
629 in progress |
| B1 = 85e7/70000 curves/ numbers < 400 digits |
539 in progress |
1146 in progress |
.... in progress |
.... in progress |
.... in progress |
| B1 = 29e8/nnnn curves/ numbers < 400 digits |
639 in progress |
1036 in progress |
1040 in progress |
.... in progress |
.... in progress |
| Factorizations | |
|---|---|
| Repunits: R1 - R2500 (Sep 17, 2024) | Repunits: R2501 - R5000 (Sep 17, 2024) |
| Repunits: R5001 - R7500 (Sep 29, 2024) | Repunits: R7501 - R10000 (Sep 22, 2024) |
| Repunits: R10001 - R12500 (May 03, 2024) | Repunits: R12501 - R14980L/M (Feb 27, 2024) |
| Exponent | Primes/PRP found by ... |
| - 10ˆ10 | R2 = prime |
| - 10ˆ20 | R19 = prime |
| - 10ˆ100 | R23 = prime |
| - 10ˆ1000 | R317 = prime |
| - 10ˆ10000 | R1031 = prime WD (Dec 1985) |
| - 10ˆ50000 | R49081 = prime Paul Underwood (Mar 2022) |
| - 10ˆ100000 | R86453 = prime Andreas Enge (May 15, 2023) |
| - 10ˆ250000 | R109297 = PRP Paul Bourdelais - Harvey Dubner (Apr 2007) |
| - 10ˆ500000 | R270343 = PRP Maksym Voznyy - Anton Budnyy (Jul 2007) |
| - 10ˆ7500000 | R5794777 = PRP S. Batalov - Ryan Propper (Apr 2021) |
| - 10ˆ10000000 | R8177207 = PRP S. Batalov - Ryan Propper (May 2021) |