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 A061488 Factorize the Fibonacci numbers in order, skipping F(0)-F(2), F(6)=8 and F(12)=144; at each step at least one new prime will occur; sequence smallest such new prime. 2
 2, 3, 5, 13, 7, 17, 11, 89, 233, 29, 61, 47, 1597, 19, 37, 41, 421, 199, 28657, 23, 3001, 521, 53, 281, 514229, 31, 557, 2207, 19801, 3571, 141961, 107, 73, 9349, 135721, 2161, 2789, 211, 433494437, 43, 109441, 139, 2971215073, 1103, 97, 101, 6376021 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Carmichael showed that the sequence is well-defined. Same as A001578 without the "1" terms. Given the definition, in particular omission of F(6) and F(12), setting offset=1 would be more adequate; offset=5 (= number of omitted terms) would give A061488=A001578 for n>12 on. - M. F. Hasler, Oct 21 2012 LINKS T. D. Noe, Table of n, a(n) for n=3..998 Ron Knott, Mathematics of the Fibonacci Series Hisanori Mishima, Factorizations of many number sequences Hisanori Mishima, Factorizations of many number sequences Hisanori Mishima, Factorizations of many number sequences Hisanori Mishima, Factorizations of many number sequences Hisanori Mishima, Factorizations of many number sequences FORMULA A061488(n)=A001578(n+2) from n=11 on. - M. F. Hasler, Oct 21 2012 MATHEMATICA f[n_] := Block[{p = First /@ FactorInteger[ Fibonacci[ n]]}, k = 1; lmt = 1 + Length@ p; While[k < lmt && MemberQ[lst, p[[k]]], k++]; If[k < lmt, AppendTo[lst, p[[k]]]]]; lst = {}; Do[ f[n], {n, 3, 51}]; lst (* Robert G. Wilson v, Oct 23 2012 *) CROSSREFS Cf. A061446. Sequence in context: A193064 A133832 A328997 * A236394 A111239 A264745 Adjacent sequences: A061485 A061486 A061487 * A061489 A061490 A061491 KEYWORD nonn,easy,nice AUTHOR N. J. A. Sloane, Nov 08 2001 EXTENSIONS More terms from Vladeta Jovovic and Lior Manor Nov 09 2001 Corrected by T. D. Noe, Feb 10 2007 STATUS approved

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Last modified December 6 21:00 EST 2022. Contains 358648 sequences. (Running on oeis4.)