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Fermat number

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Revision as of 16:07, 20 April 2009 by Vipul (talk | contribs) (Created page with '==Definition== Let <math>n</math> be a nonnegative integer. The <math>n^{th}</math> Fermat number, denoted <math>F_n</math>, is defined as: <math>F_n := 2^{2^n} + 1</math>. If...')

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Definition

Let $n$ be a nonnegative integer. The $n^{t h}$ Fermat number, denoted $F_{n}$ , is defined as:

$F_{n} : = 2^{2^{n}} + 1$ .

If it is prime, it is termed a Fermat prime.

Relation with other properties

Weaker properties

Fermat prime

Testing

The ID of the sequence in the Online Encyclopedia of Integer Sequences is A000215

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