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A102325 Primes p such that the largest prime divisor of p^3 + 1 is less than p. 2
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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000

EXAMPLE

p = 17, 1 + p^3 = 1 + 4913 = 2*3*3*3*7*13, so the 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: A289685 A144487 A108266 * A231326 A038711 A288613

Adjacent sequences:  A102322 A102323 A102324 * A102326 A102327 A102328

KEYWORD

nonn

AUTHOR

Labos Elemer, Jan 05 2005

STATUS

approved

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Last modified June 24 18:30 EDT 2021. Contains 345419 sequences. (Running on oeis4.)