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a(n) is the smallest value of Euler polynomial x^2 + x + 41 which is divisible by 41^n.
3

%I #7 Jan 12 2019 12:59:53

%S 41,1681,2963603,19477970573,203586339651833,2677331022258108347,

%T 40785586686127252393,3817838920923578492820563,

%U 22427952844519540079208409331,3292526219739666997778171798741,59254464597252454704406353071130683,93363909561408736238900593787191180421

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

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

%t 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

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

%K nonn

%O 1,1

%A _Artur Jasinski_, Nov 06 2008

%E a(7)-a(12) from _Hugo Pfoertner_, Jan 12 2019