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Line 17: − + − + − + − + − +
fix errors
The first eight Fermat numbers are
The first eight Fermat numbers are
* F<sub>n</sub> = 2<sup>1</sup> + 1 = 3
* F<sub>0</sub> = 2<sup>1</sup> + 1 = 3
* F<sub>n</sub>= 2<sup>2</sup> + 1 = 5
* F<sub>1</sub>= 2<sup>2</sup> + 1 = 5
* F<sub>n</sub>= 2<sup>4</sup> + 1 = 17
* F<sub>2</sub>= 2<sup>4</sup> + 1 = 17
* F<sub>n</sub> = 2<sup>8</sup> + 1 = 257
* F<sub>3</sub> = 2<sup>8</sup> + 1 = 257
* F<sub>n</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.