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.

A118940 Primes p such that (p^2+7)/8 is prime.

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%I A118940 #8 Feb 18 2018 10:03:28
%S A118940 3,7,17,23,41,47,71,89,103,113,127,137,151,191,193,199,223,263,271,
%T A118940 281,337,359,401,439,457,503,521,569,577,599,641,719,727,751,839,857,
%U A118940 863,881,887,929,991,1009,1033,1097,1103,1151,1193,1217,1231,1279,1297,1303
%N A118940 Primes p such that (p^2+7)/8 is prime.
%C A118940 For all primes q>2, we have q=4k+-1 for some k, which makes it easy to show that 8 divides q^2+7.
%t A118940 Select[Prime[Range[200]],PrimeQ[(#^2+7)/8]&]
%o A118940 (PARI) lista(nn) = {forprime(p=2, nn, iferr(if (isprime(q=(p^2+7)/8), print1(q, ", ")), E, ););} \\ _Michel Marcus_, Feb 18 2018
%Y A118940 Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118939, A118941 and A118942.
%K A118940 nonn
%O A118940 1,1
%A A118940 _T. D. Noe_, May 06 2006