A147521 a(n) is the smallest value of Euler polynomial x^2 + x + 41 which is divisible by 41^n.

41, 1681, 2963603, 19477970573, 203586339651833, 2677331022258108347, 40785586686127252393, 3817838920923578492820563, 22427952844519540079208409331, 3292526219739666997778171798741, 59254464597252454704406353071130683, 93363909561408736238900593787191180421

Offset

1,1

Comments

For values x see A147520 For values (x^2 + x + 41)/(41^n) see A147522.

Links

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

Mathematica

a = {}; Do[x = 0; While[Mod[x^2 + x + 41, 41^n] != 0, x++ ]; AppendTo[a, x^2 + x + 41]; 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: A167957 A218743 A009985 * A233070 A267267 A049676

Adjacent sequences: A147518 A147519 A147520 * A147522 A147523 A147524

Keyword

nonn

Author

Artur Jasinski, Nov 06 2008

Extensions

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

Status

approved