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 A228228 #16 May 08 2025 19:41:51
%S A228228 3,5,13,19,29,31,37,47,53,61,67,79,83,101,109,127,131,149,157,163,173,
%T A228228 179,181,191,197,211,223,227,229,239,269,271,277,293,307,317,349,367,
%U A228228 373,383,389,397,419,421,431,461,463,467,479,499,509,541,547,557,563
%N A228228 Primes congruent to {3, 5, 13, 15} mod 16.
%C A228228 Union of A091968, A127589, A141196, and A127576.
%C A228228 Let p be a prime number and let E(p) denote the elliptic curve y^2 = x^3 + p*x. If p is in the sequence, then the rank of E(p) is 0 or 1. Therefore, A060953(a(n)) must be one of only two values: 0 or 1.
%D A228228 J. H. Silverman, The arithmetic of elliptic curves, Springer, NY, 1986, p. 311.
%H A228228 Arkadiusz Wesolowski, <a href="/A228228/b228228.txt">Table of n, a(n) for n = 1..1000</a>
%t A228228 Select[Prime@Range[103], MemberQ[{3, 5, 13, 15}, Mod[#, 16]] &]
%o A228228 (Magma) [p: p in PrimesUpTo(563) | p mod 16 in {3, 5, 13, 15}];
%Y A228228 Cf. A007519, A060953, A091968, A127576, A127589, A141196, A228227.
%K A228228 nonn
%O A228228 1,1
%A A228228 _Arkadiusz Wesolowski_, Aug 16 2013