|
|
|
|
| A093782
|
|
a(n) is the smallest initial value (a prime) for the Euclid-Mullin (EM) sequence in which the p=5 prime emerges as n-th term, i.e., arises at the n-th position.
(history;
published version)
|
|
|
|
|
#17 by N. J. A. Sloane at Thu Oct 19 10:43:04 EDT 2017
|
|
| EXTENSIONS
|
a(16) = 449 was conjectured by R. J. Mathar and confirmed by _Don Reble, _, Oct 07 2006
|
|
|
|
|
Discussion
|
| Thu Oct 19
| 10:43
| OEIS Server: https://oeis.org/edit/global/2707
|
|
|
|
|
|
|
#16 by Jon E. Schoenfield at Fri Mar 13 23:07:47 EDT 2015
|
|
|
|
|
|
|
|
#15 by Jon E. Schoenfield at Fri Mar 13 23:07:45 EDT 2015
|
|
| EXTENSIONS
|
Corrected by _R. J. Mathar, _, Oct 06 2006
a(16) = 449 was conjectured by _R. J. Mathar _ and confirmed by Don Reble, Oct 07 2006
|
|
|
|
|
|
|
#14 by Jon E. Schoenfield at Fri Mar 13 23:07:28 EDT 2015
|
|
| NAME
|
a(n) is the smallest initial value (a prime) for the Euclid-Mullin(= (EM) sequence in which the p=5 prime emerges as n-th term, i.e. ., arises at the n-th position.
|
|
| COMMENTS
|
a(31)>=8581. [. [_Sean A. Irvine, _, Oct 31, 2011.]]
|
|
| STATUS
|
approved
editing
|
|
|
|
|
|
|
#13 by N. J. A. Sloane at Tue Oct 15 22:32:23 EDT 2013
|
|
| AUTHOR
|
_Labos E. (labos(AT)ana.sote.hu), Elemer_, May 04 2004
|
|
|
|
|
Discussion
|
| Tue Oct 15
| 22:32
| OEIS Server: https://oeis.org/edit/global/2029
|
|
|
|
|
|
|
#12 by Russ Cox at Fri Mar 30 18:39:34 EDT 2012
|
|
| EXTENSIONS
|
a(25)-a(30) from _Sean A. Irvine (sairvin(AT)xtra.co.nz), _, Oct 30 2011
|
|
|
|
|
Discussion
|
| Fri Mar 30
| 18:39
| OEIS Server: https://oeis.org/edit/global/220
|
|
|
|
|
|
|
#11 by Russ Cox at Fri Mar 30 17:38:03 EDT 2012
|
|
| EXTENSIONS
|
a(19)-a(24) from _David Wasserman (dwasserm(AT)earthlink.net), _, Apr 20 2007
|
|
|
|
|
Discussion
|
| Fri Mar 30
| 17:38
| OEIS Server: https://oeis.org/edit/global/184
|
|
|
|
|
|
|
#10 by T. D. Noe at Mon Oct 31 11:22:47 EDT 2011
|
|
|
|
|
|
|
|
#9 by Sean A. Irvine at Sun Oct 30 20:23:51 EDT 2011
|
|
|
|
|
|
|
|
#8 by Sean A. Irvine at Sun Oct 30 20:23:27 EDT 2011
|
|
| NAME
|
a[(n] ) is the smallest initial value (a prime) for the Euclid-Mullin(=EM) sequence in which the p=5 prime emerges as n-th term, i.e. arises at the n-th position.
|
|
| DATA
|
5, 0, 17, 19, 127, 61, 2, 31, 97, 13, 23, 269, 53, 239, 181, 449, 541, 11, 953, 1741, 179, 1889, 823, 3209, 13619, 383, 6971, 10331, 45959, 13721
|
|
| COMMENTS
|
The sequence is not monotonic and it seems that p=5 may arise at any position > 2. a[(2]=)=0 means that 5 is never the 2nd term in an EM sequence of A000945-type because a[(2]=)=2 or 3.
a(25) > 8000. a(26) = 383. a(27) = 6971. - David Wasserman (dwasserm(AT)earthlink.net), Apr 20 2007
a(31)>=8581. [Sean A. Irvine, Oct 31, 2011.]
|
|
| EXTENSIONS
|
a(25)-a(30) from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 30 2011
|
|
| STATUS
|
approved
editing
|
|
|
|
|
|
