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A new necessary and sufficient condition for the existence of the sixth Fermat prime
Author(s): 
Pages: 43-46
Year: Issue:  1
Journal: Journal of Southwest University for Nationalities(Natrual Science Edition)

Keyword:  欧拉函数方程费马数费马素数;
Abstract: 在数论中,是否存在第六个费马素数一直是个未解决的问题.通过运用欧拉函数建立了第六个费马素数存在性的一个等价命题.也就是,第六个费马素数存在,当且仅当存在一个正整数使得方程ψ(x)=2k有34个解,其中ψ(x)为欧拉函数.
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