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A103319
Primes of the form p! + 1 where p is prime.
2
3, 7, 39916801, 13763753091226345046315979581580902400000001, 33452526613163807108170062053440751665152000000001, 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000001
OFFSET
1,1
COMMENTS
The values of p are 2, 3, 11, 37, 41, 73 which is A093804 (with a different definition). Subsequence of A088332 (primes of the form n! + 1).
REFERENCES
R. K. Guy, Unsolved Problems in Number Theory, Section A2.
EXAMPLE
2 and 2! + 1 = 3 are prime, so 3 is a member.
MATHEMATICA
Select[Table[p!+1, {p, Prime[Range[30]]}], PrimeQ] (* Harvey P. Dale, Nov 28 2019 *)
CROSSREFS
KEYWORD
hard,nonn
AUTHOR
Jonathan Sondow, Jan 31 2005
STATUS
approved