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Search: id:A131511
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| A131511 |
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All possible products of prime and Fibonacci numbers. |
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+0
1
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| 0, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26, 29, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 46, 47, 51, 53, 55, 56, 57, 58, 59, 61, 62, 63, 65, 67, 68, 69, 71, 73, 74, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 101, 102, 103, 104, 105
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OFFSET
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0,2
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COMMENT
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This sequence contains all prime numbers as a subsequence because 1 is a Fibonacci number. Similarly it contains all even semiprimes.
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EXAMPLE
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8 is not in this sequence because the only way to represent 8 as a product of a prime and some number is 2*4, and 4 is not a Fibonacci number.
105 is in this sequence because 105 = 3*21, and 3 is a prime number and 21 is a Fibonacci number.
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MATHEMATICA
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Take[Union[Flatten[Table[Fibonacci[n]*Prime[k], {n, 70}, {k, 70}]]], 70]
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CROSSREFS
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Cf. A132147, A049997, A001358.
Sequence in context: A136416 A072497 A039217 this_sequence A063538 A037143 A048627
Adjacent sequences: A131508 A131509 A131510 this_sequence A131512 A131513 A131514
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KEYWORD
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nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 14 2007
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