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Search: id:A053027
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| A053027 |
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Odd primes p with 2 zeros in Fibonacci numbers mod p. |
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+0 7
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| 3, 7, 23, 41, 43, 47, 67, 83, 103, 107, 127, 163, 167, 223, 227, 241, 263, 281, 283, 307, 347, 367, 383, 401, 409, 443, 449, 463, 467, 487, 503, 523, 547, 563, 569, 587, 601, 607, 641, 643, 647, 683, 727, 743, 769, 787, 823, 827, 863, 881, 883, 887, 907, 929
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Also, odd primes that divide Lucas numbers of even index. - T. D. Noe (noe(AT)sspectra.com), Jul 25 2003
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REFERENCES
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C. Ballot and M. Elia, Rank and period of primes in the Fibonacci sequence; a trichotomy, Fib. Quart., 45 (No. 1, 2007), 56-63 (The sequence B3).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
M. Renault, Fibonacci sequence modulo m
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FORMULA
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A prime p = prime(i) is in this sequence if p > 2 and A001602(i)/2 is even. - T. D. Noe (noe(AT)sspectra.com), Jul 25 2003
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CROSSREFS
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Cf. A001176, A053028.
Cf. A000204 (Lucas numbers), A001602 (index of the smallest Fibonacci number divisible by prime(n)), A053029 (primes dividing no Lucas number), A053032 (primes dividing Lucas numbers of odd index).
Sequence in context: A127781 A122094 A135570 this_sequence A133432 A133433 A029932
Adjacent sequences: A053024 A053025 A053026 this_sequence A053028 A053029 A053030
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 23 2000
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