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Search: id:A152012
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| A152012 |
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Indices of Fibonacci numbers having exactly one primitive prime factor. |
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+0
2
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| 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 43, 45, 47, 48, 51, 52, 54, 56, 60, 62, 63, 65, 66, 72, 74, 75, 76, 82, 83, 93, 94, 98, 105, 106, 108, 111, 112, 119, 121, 122, 123, 124, 125, 131
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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It is known that Fibonacci number A000045(n) has a primitive prime factor for all n, except n=0, 1, 2, 6 and 12. This sequence lists such indices n that A000045(n) has exactly one primitive prime factor (equal A001578(n)). Sister sequence A152013 provides indices of Fibonacci numbers with at least 2 prime factors. The current sequence A152012 and its sister sequence A152013 along with the finite set {0,1,2,6,12} form a partition of the natural numbers.
Where A086597(n) = 1.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..264
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CROSSREFS
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Cf. A000045, A001578, A152013.
Adjacent sequences: A152009 A152010 A152011 this_sequence A152013 A152014 A152015
Sequence in context: A039177 A058986 A078358 this_sequence A039131 A072225 A137689
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KEYWORD
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nonn
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AUTHOR
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Max Alekseyev (maxale(AT)gmail.com), Nov 19 2008
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