关于方程sum from k=0 to n (b-5~Γsk)~Ι=sum from k=1 to n (b+5~Γsk)~Ι

On the Diopharctimc Equation sum from k=0 to n (b-5~Γsk)~Ι=sum from k=1 to n (b+5~Γsk)~Ι

本文证明了:设s=q_1q_2…q_r=10β+7型奇数,q_1,q_2,…,q_r是不同素数。n,b,1为正整数,r为非负整数,方程仅有整数解1=1,b=5'sn(n+1)和1=2,b=2.5~rsn(n+1)

In this paper, we proved following resuits:let s=q1q2…q1=10β+7,q1,q2,…q1 be distinct prime, n, b, 1 be positive integer, r be noncgativc integer, the cquatiohhas no integer solutions except 1=1, b = 5rsn(n+1) and 1 = 2, b = 2.5rsn(n+1).