A133865 Smallest odd prime base q such that p^15 divides q^(p-1) - 1, where p = prime(n).

65537, 57395627, 122070312499, 56020344873707, 6266190914259137, 65106791321062951, 12132548193910221893, 50407811312994280933, 172048888780798211059, 16668261908754510204233, 35965174106571679882189

Offset: 1

Author

Alexander Adamchuk, Sep 26 2007

Keywords

• nonn

Examples

			a(1) = A035089(15) = 65537.
		

Crossrefs

Cf. A035089, A125609, A125610, A125611, A125612, A125632, A125633, A125634, A125635, A125636, A125637, A125645, A125646, A125647, A125648, A125649, A133859, A133860, A133861, A133862, A133863, A133864.

Programs

Mathematica

Do[ k = 1; While[ !PowerMod[ Prime[ k ], Prime[ n ] - 1, Prime[ n ]^15 ] == 1, k++ ]; Print[ { n, Prime[ k ] } ], {n, 1, 100} ]

Extensions

Extended by Max Alekseyev, May 08 2009