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.
%I A191017 #41 Aug 16 2025 17:17:08
%S A191017 3,5,13,19,23,59,61,71,79,83,101,113,127,131,137,139,151,157,173,181,
%T A191017 191,193,227,229,233,239,251,263,269,281,283,293,307,337,349,359,397,
%U A191017 401,419,431,449,457,461,463,467,487,509,523,563,569,587,599,617,619
%N A191017 Primes with Kronecker symbol (p|14) = 1.
%C A191017 Originally incorrectly named "Primes that are squares mod 14", which is sequence A045373. - _M. F. Hasler_, Jan 15 2016
%C A191017 Conjecture: primes congruent to {1, 3, 5, 9, 13, 15, 19, 23, 25, 27, 39, 45} mod 56. - _Vincenzo Librandi_, Jun 22 2016
%C A191017 From _Jianing Song_, Nov 21 2019: (Start)
%C A191017 Rational primes that decompose in the field Q(sqrt(-14)).
%C A191017 These are primes p such that either one of (a) p == 1, 2, 4 (mod 7), p == 1, 7 (mod 8) or (b) p == 3, 5, 6 (mod 7), p == 3, 5 (mod 8) holds. So the conjecture above is correct. (End)
%H A191017 Vincenzo Librandi, <a href="/A191017/b191017.txt">Table of n, a(n) for n = 1..1000</a>
%t A191017 Select[Prime[Range[200]], JacobiSymbol[#,14]==1&]
%o A191017 (Magma) [p: p in PrimesUpTo(619) | KroneckerSymbol(p, 14) eq 1]; // _Vincenzo Librandi_, Sep 11 2012
%o A191017 (PARI) is(p)=kronecker(p, 14)==1&&isprime(p) \\ _Michel Marcus_, Jun 23 2016 after A191032
%Y A191017 Cf. A191018, A191020, A191061, A274504.
%K A191017 nonn,easy
%O A191017 1,1
%A A191017 _T. D. Noe_, May 24 2011
%E A191017 Definition corrected (following an observation by _David Broadhurst_) by _M. F. Hasler_, Jan 15 2016