Difference between revisions of "Fermat numbers"
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| − | Any number in the form 2^(2^n )+1 where n is any natural number is known as Fermat | + | Any number in the form 2^(2^n )+1 where n is any natural number is known as a '''Fermat number'''. It was hypothesized by Fermat that every number in this form was prime, but Euler found that the fifth Fermat number can be factored as <math>2^{2^5}+1=641 \cdot 6,700,417</math>. |
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Revision as of 13:26, 2 March 2013
Any number in the form 2^(2^n )+1 where n is any natural number is known as a Fermat number. It was hypothesized by Fermat that every number in this form was prime, but Euler found that the fifth Fermat number can be factored as 
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