A274512 a(n) is the only number m such that 10^(2^m) + 1 is divisible by A072982(n+1).
0, 3, 2, 1, 2, 7, 4, 4, 4, 4, 8, 7, 5, 15, 4, 7, 5, 9, 15, 3, 5, 8, 16, 19, 20, 17, 9, 12, 18, 6, 26, 8, 29, 8, 11, 19, 29, 35, 19, 40, 22, 41, 40, 5
Offset: 1
Programs
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PARI
forstep(p=3, 10^15, 2, if(!Mod(p, 5)==0, if(isprime(p), o=znorder(Mod(10, p)); x=ispower(2*o); if(2^(x-1)==o, print1(x-2, ", ")))));
Formula
a(n) = A197224(n+1) - 1. - Ray Chandler, Oct 25 2019