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Are there only finite Fermat Primes?

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Subject: Number Theory
» Analytic Number Theory
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Recomm. for undergrads: no
Posted by: kurtulmehtap
on: August 21st, 2013
Conjecture   A Fermat prime is a Fermat number \[ F_n = 2^{2^n } + 1 \] that is prime. The only known Fermat primes are F_0 =3,F_1=5,F_2=17,F_3 =257 ,F_4=65537 It is unknown if other fermat primes exist.


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