A prime number which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 22n+1 for some n ≥ 0); equivalently, a number that is one more than two raised to some power (is expressible as 2n+1) and is prime.
Origin
Named after Pierre de Fermat (1601–1665), French lawyer and amateur mathematician.
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