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A007117 a(n)*2^(n+2) + 1 divides n-th Fermat number.
(Formerly M4586)
6
0, 0, 1, 8, 1024, 5, 1071, 116503103764643, 1209889024954, 1184, 11131, 39, 7, 82731770, 1784180997819127957596374417642156545110881094717, 9264, 3150, 59251857, 13, 33629 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 71.

H. Riesel, ``Prime numbers and computer methods for factorization,'' Progress in Mathematics, Vol. 57, Birkhauser, Boston, 1985, Chap. 4, see p. 377.

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..19.

Wilfrid Keller, Prime factors k.2^n + 1 of Fermat numbers F_m

R. G. Wilson, V, Letter to N. J. A. Sloane, Aug. 1993

CROSSREFS

Sequence in context: A046242 A260028 A176367 * A291831 A085533 A122067

Adjacent sequences:  A007114 A007115 A007116 * A007118 A007119 A007120

KEYWORD

hard,nonn

AUTHOR

N. J. A. Sloane, Robert G. Wilson v

EXTENSIONS

a(14)-a(19) added by Max Alekseyev, May 04 2010

STATUS

approved

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Last modified November 22 15:27 EST 2017. Contains 295089 sequences.