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Search: id:A084419
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| A084419 |
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a(n) = number of primes that can be formed by adding 1 to the product of any subset of the divisors of n. |
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+0 1
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| 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
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OFFSET
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1,2
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COMMENT
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a(2n-1) = 1.
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EXAMPLE
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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.
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CROSSREFS
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Sequence in context: A065548 A152063 A022458 this_sequence A119606 A034850 A145969
Adjacent sequences: A084416 A084417 A084418 this_sequence A084420 A084421 A084422
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 01 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Dec 28 2004
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