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A053027 Odd primes p with 2 zeros in Fibonacci numbers mod p. +0
7
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)
OFFSET

1,1

COMMENT

Also, odd primes that divide Lucas numbers of even index. - T. D. Noe (noe(AT)sspectra.com), Jul 25 2003

REFERENCES

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).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

M. Renault, Fibonacci sequence modulo m

FORMULA

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

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Feb 23 2000

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.


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