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Search: id:A103319
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| A103319 |
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Primes of the form p! + 1 where p is prime. |
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+0
3
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| 3, 7, 39916801, 13763753091226345046315979581580902400000001, 33452526613163807108170062053440751665152000000001, 44701154615126843408912571381250511100768007002829050158190800923704221040671833\ 17016903680000000000000001
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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).
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REFERENCES
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R. K. Guy, Unsolved Problems in Number Theory, Section A2.
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LINKS
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Eric Weisstein's World of Mathematics, Factorial Prime
Index entries for sequences related to factorial numbers.
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EXAMPLE
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2 and 2! + 1 = 3 are prime, so 3 is a member.
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CROSSREFS
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Cf. A093804, A002981, A088332, A103318.
Adjacent sequences: A103316 A103317 A103318 this_sequence A103320 A103321 A103322
Sequence in context: A083461 A137029 A137125 this_sequence A120669 A021267 A086106
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KEYWORD
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hard,nonn
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AUTHOR
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Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Jan 31 2005
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