A181582 Smallest prime p such that p! ends with exactly 10^n trailing 0's (or 0, if no such p exists).

5, 47, 409, 4007, 40013, 400009, 0, 0, 0, 4000000019, 0, 400000000019, 0, 0, 0, 0, 0, 0, 0, 40000000000000000019, 0, 0, 0, 0, 4000000000000000000000039, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40000000000000000000000000000000037, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400000000000000000000000000000000000000000000000057

Offset

0,1

Links

Table of n, a(n) for n=0..50.

A. M. Oller-Marcen, J. Maria Grau, On the Base-b Expansion of the Number of Trailing Zeros of b^k!, J. Int. Seq. 14 (2011) 11.6.8

Formula

a(n)=0 or a(n)>4*10^n

Crossrefs

Cf. A173558, A080087.

Sequence in context: A353545 A198854 A200814 * A220558 A241372 A124267

Adjacent sequences: A181579 A181580 A181581 * A181583 A181584 A181585

Keyword

nonn,base

Author

Lekraj Beedassy, Nov 02 2010

Extensions

More terms from Robert Gerbicz, Nov 21 2010

Status

approved