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Search: id:A050922
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| A050922 |
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Triangle in which n-th row gives prime factors of n-th Fermat number 2^(2^n)+1. |
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+0
5
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| 3, 5, 17, 257, 65537, 641, 6700417, 274177, 67280421310721, 59649589127497217, 5704689200685129054721, 1238926361552897, 93461639715357977769163558199606896584051237541638188580280321
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Conjectured to be the same as A067387. - njas, Jan 20 2008
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REFERENCES
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M. Aigner and G. M. Ziegler, Proofs from The Book, Springer-Verlag, Berlin, 2nd. ed., 2001; see p. 3.
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LINKS
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R. P. Brent, Factorization of the tenth Fermat number
R. P. Brent, Factorization of the eleventh Fermat number
R. P. Brent, Succint proofs of primality for the factors of some Fermat numbers
R. P. Brent & J. M. Pollard, Factorization of the eighth Fermat number
R. P. Brent et al., Three new factors of Fermat numbers
C. K. Caldwell, The Prime Glossary, Fermat divisor
Wilfrid Keller, Prime factors k.2^n + 1 of Fermat numbers F_m
R. Munafo, Notes on Fermat numbers
Eric Weisstein's World of Mathematics, Fermat Number
J. Bernheiden, Fermat Numbers (Text in German)
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EXAMPLE
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Triangle begins:
3;
5;
17;
257;
65537;
641, 6700417;
274177, 67280421310721;
59649589127497217, 5704689200685129054721;
1238926361552897, 93461639715357977769163558199606896584051237541638188580280321; ...
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CROSSREFS
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Cf. A000215, A019434, A130728.
Adjacent sequences: A050919 A050920 A050921 this_sequence A050923 A050924 A050925
Sequence in context: A019434 A125045 A130728 this_sequence A067387 A070592 A000215
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KEYWORD
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nonn,easy,tabf,nice
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AUTHOR
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njas, Dec 30 1999
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Apr 13 2000.
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