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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. +0
1
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; listen)
OFFSET

3,1

COMMENT

Carmichael showed that the sequence is well-defined.

Same as A001578 without the "1" terms.

LINKS

T. D. Noe, Table of n, a(n) for n=3..998

R. 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

CROSSREFS

Cf. A061446.

Sequence in context: A107475 A108225 A133832 this_sequence A111239 A145343 A058592

Adjacent sequences: A061485 A061486 A061487 this_sequence A061489 A061490 A061491

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 08 2001

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs) and Lior Manor (lior.manor(AT)gmail.com) Nov 09 2001

Corrected by T. D. Noe, Feb 10 2007

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


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