A115746 - OEIS

A115746

Product of the factorials of prime numbers, repetitions allowed.

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

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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 A344181 A242101

Adjacent sequences: A115743 A115744 A115745 * A115747 A115748 A115749

KEYWORD

nonn

AUTHOR

Farideh Firoozbakht, Feb 03 2006

STATUS

approved