A216472 Smallest k such that k*n^5 + 1 is an n-th power.

1, 7, 2269, 4129151, 30762501251, 2239747210, 27448639374405504361, 2413133306001931169183743, 382044091289242990177493431399, 92389875896827641843360078, 41175701028835553188828526348886198418157, 251171485090270512606177135871202294053615

Offset

1,2

Links

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

Example

a(3) = 2269 because 2269*3^5 + 1 = 551368 =  82^3.

Mathematica

a={}; Do[k = 2; While[ !IntegerQ[(k^n - 1)/n^5], k++ ]; AppendTo[a, (k^n-1)/n^5], {n, 1, 20}]; a

Crossrefs

Cf. A076943, A193746, A216439, A216471.

Sequence in context: A186164 A203686 A248142 * A065505 A067511 A013740

Adjacent sequences: A216469 A216470 A216471 * A216473 A216474 A216475

Keyword

nonn

Author

Michel Lagneau, Sep 10 2012

Status

approved