id:A055939 - OEIS Search Results

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Primes p such that p | ((p-1)/2)! + 1.

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7, 11, 19, 43, 47, 67, 79, 103, 127, 131, 163, 179, 191, 199, 227, 263, 347, 367, 383, 419, 431, 443, 479, 491, 503, 523, 563, 571, 599, 607, 619, 631, 683, 691, 727, 739, 743, 787, 823, 839, 863, 887, 947, 991, 1019, 1051, 1087, 1091, 1123, 1151, 1187 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`p \| (p-1)! +1 iff p is a prime (Wilson's theorem). Note: all of the above primes are congruent to 3 (mod 4).` `All primes == 3 mod 4 are members of either A055939 or A058302. - Zak Seidov, Jan 16 2007`
	MATHEMATICA	`Select[ Range[ 1225 ], PrimeQ[ # ] && Mod[ ((# - 1)/2)! + 1, # ] == 0 & ]`
	CROSSREFS	`Cf. A058302.` `Sequence in context: A032672 A133425 A038984 this_sequence A023267 A050562 A057190` `Adjacent sequences: A055936 A055937 A055938 this_sequence A055940 A055941 A055942`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 22 2000`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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