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 A082075 #13 Apr 24 2021 04:15:05 %S A082075 4,4,8,4,8,12,4,12,8,4,8,4,20,4,20,4,8,12,12,4,12,12,8,12,12,4,12,12, %T A082075 12,8,12,24,4,20,16,12,8,12,4,36,12,8,4,20,4,12,8,4,8,4,20,24,16,8,16, %U A082075 12,8,12,12,12,4,12,24,8,28,8,12,4,8,36,24,12,4,12,20,4,20,4,20,4,8,28,20,4 %N A082075 First differences of primes of the form 4*k+3 (A002145). %H A082075 Amiram Eldar, <a href="/A082075/b082075.txt">Table of n, a(n) for n = 1..10000</a> %F A082075 a(n) = A002145(n+1) - A002145(n). %e A082075 The first and second primes of the form 4*k+3 are 3 and 7, so a(1) = 7-3 = 4. %t A082075 k=0; m=4; r=3; Do[s=Mod[Prime[n], m]; If[Equal[s, r], rp=ep; k=k+1; ep=Prime[n]; Print[ep-rp]; ], {n, 1, 1000}] %Y A082075 Cf. A002144, A002145, A082073, A082074, A082075, A082076. %K A082075 nonn %O A082075 1,1 %A A082075 _Labos Elemer_, Apr 07 2003