login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

(n! + 1) == 0 ( mod prime(n) ).
2

%I #5 Mar 30 2012 17:36:38

%S 1,2,5,18,63

%N (n! + 1) == 0 ( mod prime(n) ).

%t Do[ If[ Mod[n! + 1, Prime[n]] == 0, Print[n]], {n, 1, 10000} ]

%o (PARI) for(X=10001,33333,if( (X!+1)%prime(X)==0, print(X)))

%Y Cf. A067999, A066953.

%K nonn,hard

%O 1,2

%A _Robert G. Wilson v_, Feb 08 2002

%E There are no other terms below 33333. Is 63 the last term? - Hauke Worpel (hw1(AT)email.com), May 24 2003

%E There are no other terms below 534000. - _Rick L. Shepherd_, May 26 2003