Let m,p be positive integers and p≥2,Fn is the Fibonacci number,q is a prime with type 4t+3,k is a nonnegative integer,for m=qk,the integer solutions of equation Fmn-1+Fmn+Fm+1=yp are given,and it is proved that the equation has no integer solutions for even number m.
关键词
不定方程/斐波那契数列/方幂和/整数解/连续整数
Key words
Diophantine equation/Fibonacci sequence/sum of powers/integer solution/consecutive integers
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