A125635 - OEIS

A125635

Smallest prime p such that 257^n divides p^256 - 1.

2, 1993, 134857, 716192579, 68539500613, 101479854517477, 711236716682257, 1646895113182602793, 783453821802171722617, 91545091731109499684503, 5225628509593228805996529, 1808125915932987167909775139

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..12.

W. Keller and J. Richstein Fermat quotients that are divisible by p.

PROG

(PARI) See A125609

CROSSREFS

Cf. A125609 = Smallest prime p such that 3^n divides p^2 - 1. Cf. A125610 = Smallest prime p such that 5^n divides p^4 - 1. Cf. A125611 = Smallest prime p such that 7^n divides p^6 - 1. Cf. A125612 = Smallest prime p such that 11^n divides p^10 - 1. Cf. A125632 = Smallest prime p such that 13^n divides p^12 - 1. Cf. A125633 = Smallest prime p such that 17^n divides p^16 - 1. Cf. A125634 = Smallest prime p such that 19^n divides p^18 - 1.

Sequence in context: A232963 A238119 A177188 * A124361 A166339 A368214

Adjacent sequences: A125632 A125633 A125634 * A125636 A125637 A125638

KEYWORD

hard,nonn

AUTHOR

Alexander Adamchuk, Nov 28 2006

EXTENSIONS

More terms from Martin Fuller, Jan 11 2007

STATUS

approved