A065106 - OEIS

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; text; internal format)

OFFSET

1,1

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, Apr 15 2004

LINKS

Table of n, a(n) for n=1..16.

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: A303398 A244743 A202805 * A264008 A283221 A177282

Adjacent sequences: A065103 A065104 A065105 * A065107 A065108 A065109

KEYWORD

nonn

AUTHOR

Len Smiley, Nov 21 2001

STATUS

approved