A317850 The 10-adic integer x = ...603097394847873 satisfying x^7 + 1 = y and y^7 + 1 = x.

3, 7, 8, 7, 4, 8, 4, 9, 3, 7, 9, 0, 3, 0, 6, 2, 5, 4, 0, 8, 1, 7, 5, 0, 6, 8, 5, 5, 3, 9, 7, 7, 0, 4, 0, 4, 1, 7, 6, 0, 7, 2, 2, 1, 2, 1, 8, 7, 6, 3, 6, 0, 3, 5, 2, 7, 5, 6, 2, 3, 1, 9, 8, 8, 1, 8, 4, 8, 0, 0, 6, 5, 5, 3, 1, 2, 4, 1, 2, 6, 3, 7, 6, 6, 6, 4, 1, 4, 0, 0, 0, 3, 6, 8, 3, 8, 3, 0, 9, 2

Offset

0,1

Comments

Data generated using calculator (first 15 terms) and MATLAB (next 85 terms). Conjecture: There exists a pair of 10-adic integers satisfying x^n + 1 = y and y^n + 1 = x iff n == 3, 7, or 15 (mod 20).

Links

Seiichi Manyama, Table of n, a(n) for n = 0..5000

Example

603097394847873^7 + 1 == 480203107738498 (mod 10^15) and 480203107738498^7 + 1 == 603097394847873 (mod 10^15).

Crossrefs

Cf. A317864 (y).

Cf. A318327-A318336.

Sequence in context: A372863 A244334 A011398 * A181828 A328980 A059101

Adjacent sequences: A317847 A317848 A317849 * A317851 A317852 A317853

Keyword

nonn,base

Author

Patrick A. Thomas, Sep 01 2018

Extensions

Offset changed to 0 by Seiichi Manyama, Sep 20 2018

Status

approved