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where n is a nonnegative integer.
where n is a nonnegative integer.
The first eight Fermat numbers are
The first five Fermat numbers are
* F<sub>0</sub> = 2<sup>1</sup> + 1 = 3
* F<sub>0</sub> = 2<sup>1</sup> + 1 = 3
* F<sub>4</sub> = 2<sup>16</sup> + 1 = 65537
* F<sub>4</sub> = 2<sup>16</sup> + 1 = 65537
As of 2007, only the first 12 Fermat numbers have been completely factored see: http://www.prothsearch.net/fermat.html.
As of 2007, only the first 12 Fermat numbers have been completely factored see: http://www.prothsearch.net/fermat.html. Fermat conjectured that all were prime; however, it is now believed that all but the first four are composite.
==See also==
==See also==