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A084419 a(n) = number of primes that can be formed by adding 1 to the product of any subset of the divisors of n. +0
1
1, 2, 1, 3, 1, 6, 1, 4, 1, 4, 1, 10, 1, 4, 1, 5, 1, 10, 1, 9, 1, 3, 1, 18, 1, 4, 1, 7, 1, 24, 1, 5, 1, 2, 1, 24, 1, 2, 1, 14, 1, 25, 1, 6, 1, 3, 1, 29, 1, 6, 1, 6, 1, 16, 1, 12, 1, 3, 1, 76, 1, 2, 1, 6, 1, 18, 1, 5, 1, 17, 1, 40, 1, 4, 1, 3, 1, 21, 1, 20, 1, 3, 1, 70, 1, 3, 1, 11, 1, 73, 1, 5, 1, 3, 1, 37 (list; graph; listen)
OFFSET

1,2

COMMENT

a(2n-1) = 1.

EXAMPLE

a(6) = 6: the divisors of 6 are 1, 2, 3 and 6 and the divisor products are 1, 2, 3, 6, 12, 18 and 36; the primes arising are 2, 3, 7, 13, 19 and 37.

CROSSREFS

Sequence in context: A065548 A152063 A022458 this_sequence A119606 A034850 A145969

Adjacent sequences: A084416 A084417 A084418 this_sequence A084420 A084421 A084422

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 01 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Dec 28 2004

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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