A185719 Final prime of the first member of A019518 that is divisible by 43^n.

211, 4051, 398261, 35912593, 5355284791

Offset

1,1

Links

Table of n, a(n) for n=1..5.

Formula

a(n) = Min_{ prime(k) | A019518(k) = 0 (mod 43^n) }. - M. F. Hasler, Feb 08 2011

Example

The number 2357...199211 is the first term in A019518 divisible by 43^1, therefore a(1) = 211.

Prog

(PARI) a(n, m=43)={ my(s=10, p=2); n=Mod(0, m^n); while(n=n*s+p, (p=nextprime(p+1))>s & s*=10) ; p}  \\ M. F. Hasler, Feb 08 2011

Crossrefs

Cf. A019518, A183194-A183196, A185656.

Sequence in context: A291075 A330426 A271979 * A224101 A013529 A229519

Adjacent sequences: A185716 A185717 A185718 * A185720 A185721 A185722

Keyword

nonn,base,more

Author

James G. Merickel, Feb 05 2011

Status

approved