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A125612 Smallest prime p such that 11^n divides p^10 - 1. 21
2, 3, 2663, 45989, 275393, 2120879, 28723679, 174625993, 4715895383, 24262286441, 1194631280321, 3143820659087, 138090848575723, 488581592070877, 6266190914259137, 367597838908577287 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..16.

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

MATHEMATICA

spp[n_]:=Module[{p=2, c=11^n}, While[PowerMod[p, 10, c]!=1, p=NextPrime[p]]; p]; Array[spp, 16] (* Harvey P. Dale, Aug 08 2019 *)

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. 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. Cf. A125635 = Smallest prime p such that 257^n divides p^256 - 1.

Sequence in context: A137321 A066848 A324310 * A185156 A235935 A182383

Adjacent sequences:  A125609 A125610 A125611 * A125613 A125614 A125615

KEYWORD

nonn

AUTHOR

Alexander Adamchuk, Nov 28 2006

EXTENSIONS

More terms from Ryan Propper, Jan 03 2007

More terms from Martin Fuller, Jan 11 2007

STATUS

approved

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Last modified February 26 16:41 EST 2021. Contains 341632 sequences. (Running on oeis4.)