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%I #9 Aug 21 2020 09:04:59
%S 3,5,11,17,29,41,59,71,101,107,137,149,179,191,197,227,239,269,281,
%T 311,347,419,431,461,521,569,599,617,641,659,809,821,827,857,881,1019,
%U 1031,1049,1061,1091,1151,1229,1277,1289,1301,1319,1427,1451,1481,1487,1607
%N Primes p such that p!-1 is divisible by the next prime larger than p.
%C This sequence includes A001359 as a subset, since the lesser of twin primes always satisfy this relation. The smallest number in this sequence that is not in A001359 is 7841. The only other known differences are 594278556271608991 and 4259842839142238791410741595983041626644087433.
%H Jeppe Stig Nielsen, <a href="/A096292/b096292.txt">Table of n, a(n) for n = 1..600</a>
%H Carlos Rivera, <a href="https://www.primepuzzles.net/puzzles/puzz_270.htm">Puzzle 270</a>.
%e 17 is here because 17!-1 is divisible by 19 and 19 is the next prime larger than 17.
%o (PARI) p=2; forprime(q=3, , prod(j=1, p, Mod(j, q)) == 1 && print1(p, ", "); p=q) \\ _Jeppe Stig Nielsen_, Oct 04 2019
%Y Cf. A001359, A286181.
%K nonn
%O 1,1
%A Stuart Gascoigne (stuart.g(AT)scoigne.com), Jun 24 2004
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