A180351 Smallest m such that tau(m!) > 10^(10^n).

5, 53, 928, 13999, 187661, 2344658, 28039129, 325695551

Offset

0,1

Links

Table of n, a(n) for n=0..7.

Formula

min{m: A027423(m) > 10^(10^n)}.

a(n) = A098109(10^n).

Example

a(0)=5 with tau(5!) = A000005(120) = 16 > 10^(10^0) = 10.
a(1)=53 with tau(53!) = A000005(427...0000) = 16174080000 > 10^(10^1) = 10^10.

Crossrefs

Sequence in context: A231866 A196659 A128943 * A337151 A171192 A330435

Adjacent sequences: A180348 A180349 A180350 * A180352 A180353 A180354

Keyword

nonn,more

Author

Jeff Burch, Aug 29 2010

Status

approved