A065106 - OEIS

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A065106

Smallest Fibonacci index to produce a factor p^2 (for primes p).

6, 12, 25, 56, 91, 110, 153, 342, 406, 552, 703, 752, 820, 915, 930, 979 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`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: A001766 A110959 A202805 * A177282 A200079 A180509` `Adjacent sequences: A065103 A065104 A065105 * A065107 A065108 A065109`
	KEYWORD	`nonn`
	AUTHOR	`Len Smiley (smiley(AT)math.uaa.alaska.edu), Nov 21 2001`

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.