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A084039 a(1) = 1 and then distinct numbers such that the product of two successive terms + 1 as well as the ratio of the larger to the smaller of two successive terms + 1 is a prime. +0
3
1, 2, 8, 32, 384, 4608, 4, 24, 48, 12, 3, 6, 72, 18, 9, 54, 27, 108, 1296, 648, 324, 162, 2916, 34992, 979776, 7, 28, 112, 448, 8064, 1344, 224, 14, 252, 63, 756, 21, 42, 84, 504, 1008, 12096, 96, 192, 768, 1536, 9216, 16, 480, 30, 5, 20, 80, 320, 5760, 10, 40 (list; graph; listen)
OFFSET

1,2

COMMENT

a(k+1) is either a multiple or a divisor of a(k).

EXAMPLE

8 follows 2 as 2*8 +1 = 17 and 8/2 +1 = 5 both are primes.

CROSSREFS

Cf. A084040, A084041.

Sequence in context: A139014 A063505 A085466 this_sequence A135620 A134708 A037513

Adjacent sequences: A084036 A084037 A084038 this_sequence A084040 A084041 A084042

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 26 2003

EXTENSIONS

Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 05 2003

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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