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A004249 (2^2^...^2) (with n 2's) + 1. +0
5
2, 3, 5, 17, 65537 (list; graph; listen)
OFFSET

0,1

COMMENT

A subsequence of the Fermat numbers 2^2^n + 1 = A000215.

a(0) through a(4) are primes; a(5) = 2^65536 + 1 is divisible by 825753601.

REFERENCES

P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 73.

LINKS

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

FORMULA

a[0] := 1, a[n+1] := 2^(a[n]) for n >= 0.

CROSSREFS

Cf. Fermat numbers 2^2^n + 1 = A000215, A007516.

Adjacent sequences: A004246 A004247 A004248 this_sequence A004250 A004251 A004252

Sequence in context: A092506 A127063 A127837 this_sequence A121510 A132346 A041293

KEYWORD

nonn

AUTHOR

njas, Robert G. Wilson v (rgwv(AT)rgwv.com), David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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