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Numbers n such that n! can be expressed as the product of the factorials of prime numbers, repetitions allowed.
1

%I #6 Mar 30 2012 18:34:58

%S 4,6,8,9,10,12,24,32,48,72,128,192,240,384,432,480,720,864,1152,1440,

%T 2592,2880,5040,6144,6912,8192,10080,11520,15360,15552,23040,25920,

%U 27648,51840,62208,69120,73728,86400

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

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

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

%K nonn

%O 1,1

%A _Jud McCranie_, Jun 19 2005