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A136357 Composite N with k consecutive prime factors followed by a prime N+1 for even or N+2 for odd. +0
3
4, 6, 9, 15, 30, 105, 210, 2310, 15015, 3234846615 (list; graph; listen)
OFFSET

1,1

COMMENT

This sequence is different from A070826 and/or A118750

FORMULA

Compute the product of k consecutive sequences of prime factors 2 or 3,5,7,11,etc. where k=1,2,3,4,5,etc. Where composite N is followed by prime N+1 for even, or by prime N+2 for odd, add N to the sequence.

EXAMPLE

a(4)=15 because k=2 wirh prime factors 3 and 5 and 15 is followed by 17, prime;

a(5)=30 because k=3 with prime factors 2,3,5 and 30 is followed by 31, prime.

CROSSREFS

Cf. A136349-A136356 A136358 A070826 A118750.

Adjacent sequences: A136354 A136355 A136356 this_sequence A136358 A136359 A136360

Sequence in context: A033476 A118696 A065856 this_sequence A136356 A136358 A115665

KEYWORD

easy,more,nonn,uned

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Dec 25 2007

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.


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