A147522 Minimal number such that a(n)*41^n is of the form x^2 + x + 41.

1, 1, 43, 6893, 1757233, 563636267, 209420753, 478130829203, 68506995922171, 245296117830341, 107670977147002963, 4137830996824703141, 16215855859012574521, 3891295582697539371727, 20259360308241533953897, 3150687184319350782852593, 574603643148719626677940181

Offset

1,3

Comments

For values x see A147520. For x^2 + x + 41 values see A147521.

Links

Table of n, a(n) for n=1..17.

Mathematica

a = {}; Do[x = 0; While[Mod[x^2 + x + 41, 41^n] != 0, x++ ]; AppendTo[a, (x^2 + x + 41)/41^n}]; Print[{n, x, x^2 + x + 41, (x^2 + x + 41)/41^n}], {n, 1, 6}]; a

Crossrefs

Cf. A145292, A145293, A145294, A147520, A147521, A147522.

Sequence in context: A108837 A091748 A208625 * A183489 A361892 A356203

Adjacent sequences: A147519 A147520 A147521 * A147523 A147524 A147525

Keyword

nonn

Author

Artur Jasinski, Nov 06 2008

Extensions

a(7)-a(17) from Hugo Pfoertner, Jan 12 2019

Status

approved