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A002592 Largest prime factor of 9^n + 1.
(Formerly M3994 N1655)
+0
2
2, 5, 41, 73, 193, 1181, 6481, 16493, 21523361, 530713, 42521761, 570461, 769, 4795973261, 647753, 47763361, 926510094425921, 1743831169, 282429005041, 25480398173, 128653413121, 109688713, 56625998353, 70601370627701 (list; graph; listen)
OFFSET

0,1

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 Th\'{e}orie des Nombres. Gauthiers-Villars, Paris, Vol. 1, 1924, Vol. 2, 1929, see Vol. 2, p. 89.

LINKS

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

MAPLE

for n from 0 to 30 do t1:=ifactor(9^n+1); od;

CROSSREFS

Adjacent sequences: A002589 A002590 A002591 this_sequence A002593 A002594 A002595

Sequence in context: A004096 A106885 A072439 this_sequence A054553 A009457 A126469

KEYWORD

nonn

AUTHOR

njas

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.


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