A109104 Numbers n such that n! can be expressed as the product of the factorials of prime numbers, repetitions allowed.

4, 6, 8, 9, 10, 12, 24, 32, 48, 72, 128, 192, 240, 384, 432, 480, 720, 864, 1152, 1440, 2592, 2880, 5040, 6144, 6912, 8192, 10080, 11520, 15360, 15552, 23040, 25920, 27648, 51840, 62208, 69120, 73728, 86400

Offset

1,1

Links

Table of n, a(n) for n=1..38.

Example

10! = 3! * 5! * 7!, so 10 is in the sequence.

Crossrefs

Cf. A034878, A001013, A003135, A058295, A075082, A109095, A109096, A109097, A109098, A109099, A109100, A109101, A109102, A109103.

Sequence in context: A034878 A173328 A116661 * A073303 A104211 A132858

Adjacent sequences: A109101 A109102 A109103 * A109105 A109106 A109107

Keyword

nonn

Author

Jud McCranie, Jun 19 2005

Status

approved