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A003021
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Largest factor of 10^n + 1.
(Formerly M2007)
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4
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2, 11, 101, 13, 137, 9091, 9901, 909091, 5882353, 52579, 27961, 8779, 99990001, 1058313049, 121499449, 9091, 69857, 21993833369, 999999000001, 909090909090909091, 5964848081, 909091, 1056689261, 549797184491917
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| J. Brillhart et al., Factorizations of b^n +- 1. Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 2nd edition, 1985; and later supplements.
Ehrhard Behrends, Five-Minute Mathematics, translated by David Kramer. American Mathematical Society (2008) p. 7
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| D. S. McNeil, Table of n, a(n) for n = 0..280
J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
T. Granlund, Factors of 10^n + 1
S. S. Wagstaff, Jr., The Cunningham Project
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MATHEMATICA
| Table[FactorInteger[10^n + 1][[-1, 1]], {n, 0, 29}] (* Alonso del Arte, Oct 21 2011 *)
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PROG
| (PARI) for(n=0, 22, print(factor(10^n+1)))
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CROSSREFS
| Sequence in context: A157715 A001271 A038371 * A097463 A083394 A087988
Adjacent sequences: A003018 A003019 A003020 * A003022 A003023 A003024
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jul 11 2001
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