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A002589 Largest primitive factor of 2^(2n+1) + 1.
(Formerly M2234 N0886)
1
3, 1, 11, 43, 19, 683, 2731, 331, 43691, 174763, 5419, 2796203, 4051, 87211, 3033169, 715827883, 20857, 86171, 25781083, 22366891, 8831418697, 2932031007403, 18837001, 165768537521, 4363953127297, 6529, 28059810762433, 48912491, 160465489 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also excludes intrinsic factors which is why a(1)=1 rather than 3. - Sean A. Irvine, Apr 20 2014

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.

M. Kraitchik, Recherches sur la Théorie des Nombres. Gauthiers-Villars, Paris, Vol. 1, 1924, Vol. 2, 1929, see Vol. 2, p. 85.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n = 0..530

J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.

S. S. Wagstaff, Jr., The Cunningham Project

CROSSREFS

Sequence in context: A119908 A153257 A002185 * A048522 A232460 A287197

Adjacent sequences:  A002586 A002587 A002588 * A002590 A002591 A002592

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(22)-a(472) from Sean A. Irvine, Apr 20 2014

a(473)-a(530) from Max Alekseyev, Feb 09 2020

STATUS

approved

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Last modified March 31 19:16 EDT 2020. Contains 333151 sequences. (Running on oeis4.)