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Fermat number
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English
Etymology
en Pierre de Fermat 1601 1665 French lawyer and amateur mathematician =.
Noun
en number theory An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form for some ); equivalently, a number that is one more than two raised to some power (is expressible as ) and is prime.
en Fermat prime
Usage notes
The equivalence of the two definitions follows from the fact that, as can be demonstrated, for a number of the form to be prime it is necessary (though not sufficient) that for some .
Translations
integer which is one more than two raised to a power which is itself a power of two
Bulgarian: bg число́ на Ферма́ n
Polish: pl liczba Fermata f