%I A096292
%S A096292 3,5,11,17,29,41,59,71,101,107,137,149,179,191,197,227,239,269,281,311,
%T A096292 347,419,431,461,521,569,599,617,641,659,809,821,827,857,881,1019,1031,
%U A096292 1049,1061,1091,1151,1229,1277,1289,1301,1319,1427,1451,1481,1487,1607
%N A096292 Primes p such that p!-1 is divisible by the next prime larger than p.
%C A096292 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 A096292 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_270.html">
               Puzzle 270</a>.
%e A096292 17 is here because 17!-1 is divisible by 19 and 19 is the next prime 
               larger than 17.
%Y A096292 Cf. A001359.
%Y A096292 Sequence in context: A078859 A054799 A001359 this_sequence A078864 A023218 
               A073022
%Y A096292 Adjacent sequences: A096289 A096290 A096291 this_sequence A096293 A096294 
               A096295
%K A096292 nonn
%O A096292 1,1
%A A096292 Stuart Gascoigne (stuart.g(AT)scoigne.com), Jun 24 2004