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A065106 Smallest Fibonacci index to produce a factor p^2 (for primes p). +0
3
6, 12, 25, 56, 91, 110, 153, 342, 406, 552, 703, 752, 820, 915, 930, 979 (list; graph; listen)
OFFSET

0,1

COMMENT

Following Lucas, these might be called the prime-squared ranks of apparition.

Assuming that there are no square primitive factors in the Fibonacci sequence (an open question), then this sequence continues 1431, 1892, 2147, 2701, 2943, 3029, 3422, 3852, 4378, 4556, 4753, 4970, 5050, 5513, 6162, 6394, 6972, 7550, 7868, 8841, 8862, 9453. This is obtained by sorting the sequence prime(n)*A001602(n). - T. D. Noe (noe(AT)sspectra.com), Apr 15 2004

EXAMPLE

342 is here but not in A065069 because Fib(342) is the first Fib divisible by 19^2, but 342 is divisible by 6 and so is not a primitive index.

CROSSREFS

Cf. A065069, A037917, A065107.

Cf. A001602 (smallest m such that prime(n) divides Fibonacci(m)).

Sequence in context: A089529 A001766 A110959 this_sequence A030775 A057029 A036833

Adjacent sequences: A065103 A065104 A065105 this_sequence A065107 A065108 A065109

KEYWORD

nonn

AUTHOR

Len Smiley (smiley(AT)math.uaa.alaska.edu), Nov 21 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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