id:A113165 - OEIS Search Results

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Numbers that divide primorial numbers plus one (p#+1).

+0
1

2, 3, 7, 19, 31, 59, 61, 73, 97, 131, 139, 149, 167, 173, 181, 211, 223, 271, 277, 307, 313, 317, 331, 347, 463, 467, 509, 571, 601, 673, 809, 827, 877, 881, 953, 983, 997, 1031, 1033, 1039, 1051, 1063, 1069, 1109, 1259, 1279, 1283, 1291, 1297, 1361, 1381 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The smallest composite member of the sequence is 1843 (19 * 97), which divides 17#+1 (19 * 97 * 277). Based on Euclid's proof that there are infinitely many primes.`
	EXAMPLE	`59 is in the sequence because 13#+1 = 30031 = 59 * 509.`
	CROSSREFS	`Cf. A002110 (primorials), A018239 (primorial primes), A000945 (Euclid-Mullin sequence), A006862 (primorials plus one).` `Sequence in context: A038935 A073640 A005382 this_sequence A128025 A092064 A152609` `Adjacent sequences: A113162 A113163 A113164 this_sequence A113166 A113167 A113168`
	KEYWORD	`easy,nonn`
	AUTHOR	`Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jan 05 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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