关键词: R猜想;费马大定理;既约分数;正整数解

Abstract:

This paper proposes a R hypothesis and a theorem,and proves them by prime number theory.Fermat's Last Theorem is proved successfully by R hypothesis and in turn,R hypothesis is also proved hereby by Fermat's Last Theorem,which means the R hypothesis and Fermat's Last Theorem are the equivalent to each other.

Key words: R hypothesis;Fermats last theorem;non-reducible fraction;interger solutions