A133863 Smallest odd prime base q such that p^13 divides q^(p-1) - 1, where p = prime(n).

40961, 19131877, 2441406251, 115385868869, 138090848575723, 358661570404751, 44510586506850631, 252317900773542353, 4465433274456775633, 39171440762351329829, 11887418854442931407, 14582408526413537791

Offset: 1

Author

Alexander Adamchuk, Sep 26 2007

Keywords

• nonn

Examples

			a(1) = A035089(13) = 40961.
		

Crossrefs

Cf. A035089, A125609, A125610, A125611, A125612, A125632, A125633, A125634, A125635, A125636, A125637, A125645, A125646, A125647, A125648, A125649, A133859, A133860, A133861, A133862, A133864, A133865.

Programs

Mathematica

Do[ k = 1; While[ !PowerMod[ Prime[ k ], Prime[ n ] - 1, Prime[ n ]^13 ] == 1, k++ ]; Print[ { n, Prime[ k ] } ], {n, 1, 100} ]

Extensions

Extended by Max Alekseyev, May 08 2009