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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

Table of n, a(n) for n=1..6.

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

Index entries for sequences related to factorial numbers.

EXAMPLE

2 and 2! + 1 = 3 are prime, so 3 is a member.

CROSSREFS

Cf. A093804, A002981, A088332, A103318.

Sequence in context: A137029 A174307 A137125 * A153021 A155979 A120669

Adjacent sequences:  A103316 A103317 A103318 * A103320 A103321 A103322

KEYWORD

hard,nonn

AUTHOR

Jonathan Sondow, Jan 31 2005

STATUS

approved

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Last modified March 29 07:35 EDT 2017. Contains 284250 sequences.