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# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a125266 Showing 1-1 of 1 %I A125266 #13 Oct 25 2023 09:28:45 %S A125266 3,1,2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,8,4,2,4,2,4,14,4,6,2, %T A125266 10,2,6,6,4,6,6,2,10,2,4,2,12,12,4,2,4,6,2,10,6,6,6,2,6,4,2,10,14,4,2, %U A125266 4,14,6,10,2,4,6,8,6,6,4,6,8,4,8,10,2,10,2,6,4,6,8,4,2,4,12,8,4,8 %N A125266 Number of repetitions in A007918. %C A125266 Except for the first 2 terms, these numbers are always even. Conjecture: the number 2 occurs infinitely often in this sequence. %C A125266 Essentially the same as A075526 and A054541. - _R. J. Mathar_, Jun 15 2008 %C A125266 3 together with A001223. - _Omar E. Pol_, Nov 01 2013 %H A125266 Paolo Xausa, Table of n, a(n) for n = 1..10000 %e A125266 A007918(0) = 2, A007918(1)=2, A007918(2) = 2. So 2 repeats 3 times, giving 3 as the first term in the table. %t A125266 Join[{3},Differences[Prime[Range[100]]]] (* _Paolo Xausa_, Oct 25 2023 *) %o A125266 (PARI) nextprimerep(n) = { local(x,y,y1,c=0); y1=2; for(x=0,n, y=nextprime(x); if(y==y1,c++,y1=y;print1(c",");c=1); ) } %Y A125266 Cf. A001223, A007918, A054541, A075526. %K A125266 easy,nonn %O A125266 1,1 %A A125266 _Cino Hilliard_, Jan 15 2007 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE