The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #12 Aug 24 2019 09:10:55
%S 48,63,68,74,111,129,135,161,168,174,197,236,240,243,273,279,282,285,
%T 309,322,335,347,360,393,407,419,431,437,439,440,455,460,461,483,491,
%U 494,497,512,517,522,526,532,544,567,591,614,625,650,662,663,681,687
%N Numbers m such that there is no k <= 2*m for which m! + k! - 1 is prime.
%C For numbers m <= 320 that are not in the sequence, there exists an integer k <= 2*m such that m! + k! - 1 is a certified prime. For m > 320 the values of m! + k! - 1 are only probable primes. - _Ryan Propper_, Sep 02 2005
%t Do[l = Range[1, 2*n]; If[Length[Select[l, PrimeQ[n! + #! - 1]&]] == 0, Print[n]], {n, 1, 729}] (* _Ryan Propper_, Sep 02 2005 *)
%t Select[Range[700],NoneTrue[Table[#!+k!-1,{k,2#}],PrimeQ]&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Aug 24 2019 *)
%Y Cf. A075758.
%K nonn
%O 1,1
%A _Ralf Stephan_, Jun 01 2005
%E a(13)-a(52) from _Ryan Propper_, Sep 02 2005
%E Name edited by _Jon E. Schoenfield_, Nov 18 2018