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Numbers m such that m! + (next prime after m!) is prime.
4

%I #33 Aug 05 2024 07:50:55

%S 1,2,3,4,6,7,14,15,20,25,32,34,35,67,89,191,316,411,1213,1280,2022,

%T 2267

%N Numbers m such that m! + (next prime after m!) is prime.

%C Next term exceeds 600. - _Robert G. Wilson v_, Jun 11 2010

%t a = {}; Do[If[PrimeQ[n! + NextPrime[n! ]], AppendTo[a, n]], {n, 1, 200]; a (* _Artur Jasinski_ *)

%t Select[Range[420],PrimeQ[#!+NextPrime[#!]]&] (* _Harvey P. Dale_, Aug 20 2021 *)

%Y Cf. A002981, A151894, A151893, A151903, A084749.

%K nonn,more

%O 1,2

%A _Artur Jasinski_, Apr 12 2008

%E a(17)-a(18) from _Robert G. Wilson v_, Jun 11 2010

%E a(19)-a(20) from _Michael S. Branicky_, May 27 2023

%E a(21)-a(22) from _Michael S. Branicky_, Aug 03 2024