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Search: id:A079346
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| A079346 |
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Primes p such that F(p-(p/5)) is the first Fibonacci number that p divides. |
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5
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| 2, 3, 5, 7, 11, 19, 23, 31, 43, 59, 67, 71, 79, 83, 103, 127, 131, 163, 167, 179, 191, 223, 227, 239, 251, 271, 283, 311, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499, 503, 523, 547, 571, 587, 599, 607, 631, 643, 647, 659, 683, 719, 727, 739, 751, 787, 823, 827
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The nth prime p is in this sequence iff A001602(n)=p-(5/p) (that is the maximum possible value of A001602(n)).
Union of A000057, A106535 and {5}.
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EXAMPLE
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7 belongs to this sequence since (7/5)=-1, F(8)=21 and 7 does not divide F(1) to F(7)
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PROGRAM
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(PARI) forprime (p=2, 500, wss=p-kronecker(5, p); for(n=1, wss, if( fibonacci(n)%p==0, if( n==wss, print1(p", "), break) ) ))
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CROSSREFS
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Cf. A079347, A079348, A079349.
Sequence in context: A120628 A143260 A039986 this_sequence A059878 A105017 A083771
Adjacent sequences: A079343 A079344 A079345 this_sequence A079347 A079348 A079349
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Jan 04 2003
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EXTENSIONS
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Corrected and edited by Max Alekseyev (maxale(AT)gmail.com), Nov 23 2007
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