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A061488
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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.
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1
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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; internal format)
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OFFSET
| 3,1
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COMMENTS
| Carmichael showed that the sequence is well-defined.
Same as A001578 without the "1" terms.
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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
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CROSSREFS
| Cf. A061446.
Sequence in context: A108225 A193064 A133832 * A111239 A145343 A058592
Adjacent sequences: A061485 A061486 A061487 * A061489 A061490 A061491
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 08 2001
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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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