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A063487 Number of distinct prime divisors of 2^(2^n)-1 (A051179). +0
1
0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 20, 25 (list; graph; listen)
OFFSET

0,3

COMMENT

2^(2^n)-1 is the product of the first n Fermat numbers F(0),...,F(n-1) (A000215). Hence this sequence is just the summation of A046052, which gives the number of prime factors in each Fermat number. - T. D. Noe (noe(AT)sspectra.com), Jan 07 2003

REFERENCES

D. M. Burton, Elementary Number Theory, Allyn and Bacon Inc., Boston MA, 1976, p. 238.

LINKS

Eric Weisstein's World of Mathematics, Fermat Number

PROGRAM

(PARI) for(n=0, 22, print(omega(2^(2^n)-1)))

CROSSREFS

Cf. A051179, A000215, A046052.

Sequence in context: A050198 A008740 A089651 this_sequence A081998 A074583 A001092

Adjacent sequences: A063484 A063485 A063486 this_sequence A063488 A063489 A063490

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 28 2001

EXTENSIONS

More terms from T. D. Noe (noe(AT)sspectra.com), Jan 07 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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