5(mod 8)且c是素数方幂时,如果ax+by=cz有正整数解(x,y,z)=(2,2,r),其中r是大于1的奇数,则该方程的例外解(x,y,z)都满足x=2以及y(?) z(?)

5(mod 8)且c是素数方幂时,如果ax+by=cz有正整数解(x,y,z)=(2,2,r),其中r是大于1的奇数,则该方程的例外解(x,y,z)都满足x=2以及y(?) z(?)的英文翻译

基本释义

• 5(mod8), c is a power of a prime and the equationax+by=cz has a positive integer solution (x, y, z) = (2,2, r), where r is an odd integer with r>1, then the exceptional solutions (x, y, z) of the equation satisfy x=2 and y=z=1(mod 2).