Authors: Pingyuan Zhou
Abstract: In this paper we present that so-called double Fermat numbers are an infinite subset of well-known Fermat numbers and so-called Catalan-type Fermat numbers are also an infinite subset of Fermat numbers as well as double Fermat primes and Catalan-type Fermat primes are all strongly finite as Fermat primes do. From it we get the same result that composite Fermat numbers, composite double Fermat numbers and composite Catalan-type Fermat numbers are all infinite.
Comments: 9 Pages. In this paper, author presents the strong finiteness of Fermat primes, double Fermat primes and Catalan-type Fermat primes by generalizing previous conjecture about primality of Fermat numbers to double Fermat and Catalan-type Fermat numbers.
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[v1] 2014-07-17 21:54:39
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