cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A055737 Number of prime triples < 10^n, where a prime triple means 3 successive primes of the form {p, p+2, p+4} or {p, p+4, p+6}.

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%I A055737 #22 Apr 04 2022 19:53:03
%S A055737 0,8,30,112,507,2837,17220,111156,759256,5425573,40174725,305689269,
%T A055737 2379622234,18887841658
%N A055737 Number of prime triples < 10^n, where a prime triple means 3 successive primes of the form {p, p+2, p+4} or {p, p+4, p+6}.
%C A055737 For this sequence all three members of the triple must be below the 10^n bound. - _Sean A. Irvine_, Apr 04 2022
%D A055737 J. Recreational Math., vol. 23, No. 2, 1991, p. 97.
%H A055737 <a href="/index/Pri#primepop">Index entries for sequences related to numbers of primes in various ranges</a>
%t A055737 x=168; a=Table[ Prime[ n ], {n, 1, x} ] c=0; Do[ If[ a[[ n ]]+6==a[ [ n+2 ] ], c++ ], {n, 1, x-2} ]; c # the values of x to use are given by A006880
%Y A055737 Cf. A055738, A006880, A007529, A098415.
%K A055737 more,nonn
%O A055737 1,2
%A A055737 _Robert G. Wilson v_, Jun 09 2000
%E A055737 a(7)-a(9) from _Jud McCranie_, Oct 07 2000
%E A055737 a(10)-a(12) from _Martin Raab_, Oct 04 2006
%E A055737 a(13)-a(14) from _Charles R Greathouse IV_, Feb 09 2022