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A058302 Primes p such that p | ((p-1)/2)! -1. +0
2
3, 23, 31, 59, 71, 83, 107, 139, 151, 167, 211, 223, 239, 251, 271, 283, 307, 311, 331, 359, 379, 439, 463, 467, 487, 499, 547, 587, 643, 647, 659, 719, 751, 811, 827, 859, 883, 907, 911, 919, 967, 971, 983, 1031, 1039, 1063, 1103, 1163, 1171, 1223 (list; graph; listen)
OFFSET

1,1

COMMENT

p | (p-1)! +1 iff p is a prime (Wilson's theorem). All of the above primes are congruent to 3 (mod 4).

MATHEMATICA

Select[ Range[ 1225 ], PrimeQ[ # ] && Mod[ ((# - 1)/2)! - 1, # ] == 0 & ]

CROSSREFS

Cf. A055939.

Sequence in context: A032688 A133023 A098946 this_sequence A133213 A006598 A106892

Adjacent sequences: A058299 A058300 A058301 this_sequence A058303 A058304 A058305

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 08 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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