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 A263729 #30 Nov 25 2019 03:31:05 %S A263729 2,3,11,23,47,59,83,107,131,167,179,227,251,263,347,359,383,431,443, %T A263729 467,479,503,563,587,599,719,839,863,887,947,983,1019,1031,1091,1187, %U A263729 1223,1283,1307,1319,1367,1439,1451,1487 %N A263729 Primes p where (p - 1)/k - 1 is not prime for any integer k >= 1. %C A263729 Primes p such that (p^2 + p*q)/(p + 1) is not integer for all primes q. %C A263729 Primes p such that d1 - 1, d2 - 1, .. are not primes where d1, d2, .. are all divisors of p - 1. %H A263729 Amiram Eldar, <a href="/A263729/b263729.txt">Table of n, a(n) for n = 1..10000</a> %e A263729 11 is in this sequence because (11 - 1)/1 - 1 = 9, (11 - 1)/2 - 1 = 4, (11 - 1)/5 - 1 = 1, (11 - 1)/10 - 1 = 0 are nonprimes and 11 is prime. %o A263729 (PARI) lista(nn) = {forprime (p=2, nn, ok = 1; for (k=1, p-1, x = (p-1)/k - 1; if (denominator(x)==1 && isprime(x), ok = 0; break);); if (ok, print1(p, ", ")););} \\ _Michel Marcus_, Nov 02 2015 %Y A263729 Cf. A027750, A263730, A263770. %K A263729 nonn,easy %O A263729 1,1 %A A263729 _Juri-Stepan Gerasimov_, Oct 24 2015 %E A263729 Name edited by _Franklin T. Adams-Watters_, Oct 31 2015