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 A385718 #11 Jul 08 2025 09:13:46 %S A385718 367,457,691,341647,909091,1803421,2640571,3076903,3413191,5228611, %T A385718 6152383,6541477,6545197,6695503,10161133,10770313,15319693,31128511, %U A385718 31687069,39946483,52764031,58886803,104494483,207855001,283882153,307912921,309201751,529570609,574061053 %N A385718 Primes p such that there exists prime q < p such that sigma(q+1) = sigma(p+2) = p + q. %C A385718 The primes q and p form a P(1, 2)-amicable pair. See Dimitrov link. %H A385718 S. I. Dimitrov, <a href="https://arxiv.org/abs/2408.07387">Generalizations of amicable numbers</a>, arXiv:2408.07387 [math.NT], 2024. %e A385718 (179, 367) is such a pair because sigma(179+1) = sigma(367+2) = 179 + 367. %Y A385718 Cf. A000040, A000203, A063990, A008333, A259180, A385586. %K A385718 nonn %O A385718 1,1 %A A385718 _S. I. Dimitrov_, Jul 07 2025 %E A385718 More terms from _Jinyuan Wang_, Jul 07 2025