A088300 a(1) = 1. For n>1, the smallest number greater than n! with the prime signature of n!.

1, 3, 10, 40, 168, 1008, 7920, 63360, 570240, 5080320, 47174400, 566092800, 8143027200, 114002380800, 1710035712000, 27360571392000, 397533007872000, 7155594141696000, 147254595231744000, 2945091904634880000

Offset

1,2

Comments

n! is the smallest number with that prime signature.

Links

Amiram Eldar, Table of n, a(n) for n = 1..449

Index entries for sequences related to prime signature

Example

a(6) = 1620 = 3^4*2^2*5, while 6! = 720 = 2^4*3^2*5.

Crossrefs

Cf. A000142, A046523.

Sequence in context: A093639 A089005 A287887 * A151074 A151075 A151076

Adjacent sequences: A088297 A088298 A088299 * A088301 A088302 A088303

Keyword

nonn

Author

Amarnath Murthy, Sep 30 2003

Extensions

Corrected and extended by Ray Chandler, Oct 06 2003

a(10) corrected by Amiram Eldar, Dec 30 2020

Status

approved