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A103319 Primes of the form p! + 1 where p is prime. 2
3, 7, 39916801, 13763753091226345046315979581580902400000001, 33452526613163807108170062053440751665152000000001, 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000001 (list; graph; refs; listen; history; text; internal format)
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.
LINKS
R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, arXiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012
Eric Weisstein's World of Mathematics, Factorial Prime
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
Sequence in context: A174307 A351848 A137125 * A341812 A153021 A155979
KEYWORD
hard,nonn
AUTHOR
Jonathan Sondow, Jan 31 2005
STATUS
approved

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Last modified February 25 06:04 EST 2024. Contains 370310 sequences. (Running on oeis4.)