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 A130061 #14 Sep 21 2024 02:26:49 %S A130061 1,3,35,147,195,219,291,399,579,583,723,939,1011,1023,1227,1299,1371, %T A130061 1443,1731,1803,2019,2307,2499,2811,3003,3027,3099,3387,3459,3603, %U A130061 3747,3891,3963,4467,4623,4827,4971,5187,5259,5331,5403,5619,5979,6051,6267 %N A130061 Numbers k that divide 3^((k-1)/2) - 2^((k-1)/2) - 1. %C A130061 It appears that all terms are composite except a(1) = 1 and a(2) = 3. Most listed terms are divisible by 3, except {1, 35, 583, 70643, ...}. %H A130061 Amiram Eldar, <a href="/A130061/b130061.txt">Table of n, a(n) for n = 1..10000</a> %t A130061 Select[ Range[10000], Mod[ PowerMod[3,(#-1)/2,# ] - PowerMod[2,(#-1)/2,# ] -1, # ]==0&] %Y A130061 Cf. A097934 (primes p that divide 3^((p-1)/2) - 2^((p-1)/2)). %Y A130061 Cf. A038876 (primes p such that 6 is a square mod p). %Y A130061 Cf. A127071, A127072, A127073, A127074. %Y A130061 Cf. A130058, A130059, A130060, A130062, A130063. %K A130061 nonn %O A130061 1,2 %A A130061 _Alexander Adamchuk_, May 05 2007