id:A102325 - OEIS Search Results

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Primes p such that the largest prime divisor of p^3+1 is less than p.

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17, 19, 23, 31, 101, 103, 173, 179, 257, 263, 293, 353, 373, 431, 467, 491, 521, 563, 593, 619, 641, 677, 719, 739, 773, 821, 829, 857, 859, 863, 881, 929, 941, 953, 1031, 1051, 1087, 1091, 1109, 1129, 1229, 1297, 1327, 1399, 1433, 1487, 1489, 1499, 1583 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`p = 17, 1+p^3 = 4913+1 = 2.3.3.3.7.13, so largest prime factor is 13 < p = 17.`
	MATHEMATICA	<<NumberTheory`NumberTheoryFunctions` Select[Prime[Range[250]], Max[PrimeFactorList[1 + #^3]] < # &] (Ray Chandler, Jan 08 2005)
	CROSSREFS	`Cf. A000040, A065091, A073501, A102326-A102330.` `Sequence in context: A007635 A140947 A108266 this_sequence A038711 A073247 A133347` `Adjacent sequences: A102322 A102323 A102324 this_sequence A102326 A102327 A102328`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jan 05 2005`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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