A133862 Smallest odd prime base q such that p^12 divides q^(p-1) - 1, where p = prime(n).

12289, 1062881, 853235443, 92233439147, 3143820659087, 58713568184837, 2359162908109223, 2649283656602003, 53928980532177631, 557792163777408809, 2084452633098194627, 8958368398788306367, 15810453676175767201

Offset: 1

Author

Alexander Adamchuk, Sep 26 2007

Keywords

• nonn

Examples

			a(1) = A035089(12) = 12289.
		

Crossrefs

Cf. A035089, A125609, A125610, A125611, A125612, A125632, A125633, A125634, A125635, A125636, A125637, A125645, A125646, A125647, A125648, A125649, A133859, A133860, A133861, A133863, A133864, A133865.

Programs

Mathematica

Do[ k = 1; While[ !PowerMod[ Prime[ k ], Prime[ n ] - 1, Prime[ n ]^12 ] == 1, k++ ]; Print[ { n, Prime[ k ] } ], {n, 1, 100} ]

Extensions

Extended by Max Alekseyev, May 08 2009