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A115746 Product of the factorials of prime numbers, repetitions allowed. 0
2, 4, 6, 8, 12, 16, 24, 32, 36, 48, 64, 72, 96, 120, 128, 144, 192, 216, 240, 256, 288, 384, 432, 480, 512, 576, 720, 768, 864, 960, 1024, 1152, 1296, 1440, 1536, 1728, 1920, 2048, 2304, 2592, 2880, 3072, 3456, 3840, 4096, 4320, 4608, 5040, 5184, 5760 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A109104! is a subsequence of this sequence. Also this sequence is a subsequence of A001013 and is not equal to A001013. 14! is the earliest term of A001013 which is greater than 1 and is not in the present sequence. All numbers of the form 2^m*3^n where m is positive and n is not greater than m are in the sequence. If p is prime and p+1 is in the sequence then p+1 is a term of the sequence A109104.

LINKS

Table of n, a(n) for n=1..50.

EXAMPLE

5760=2!*2!*2!*3!*5! so 5760 is in the sequence.

CROSSREFS

Cf. A001013, A109104.

Sequence in context: A250270 A062847 A001013 * A025610 A242101 A131117

Adjacent sequences:  A115743 A115744 A115745 * A115747 A115748 A115749

KEYWORD

nonn

AUTHOR

Farideh Firoozbakht, Feb 03 2006

STATUS

approved

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Last modified November 18 17:21 EST 2019. Contains 329287 sequences. (Running on oeis4.)