A102325 Primes p such that the largest prime divisor of p^3 + 1 is less than p.

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

Offset: 1

Author

Labos Elemer, Jan 05 2005

Keywords

• nonn

Examples

			p = 17, 1 + p^3 = 1 + 4913 = 2*3*3*3*7*13, so the largest prime factor is 13 < p = 17.
		

Links

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

Crossrefs

Cf. A000040, A065091, A073501, A102326-A102330.

Programs

Mathematica

<Ray Chandler, Jan 08 2005 *)