5³²除以7的余数是45÷7=0......55^2÷7=3......45^3÷7=17......65^4÷7=89......25^5÷7=446......35^6÷7=2232......15^7÷7=11160......5 ......由此可以看出,每6个一循环,周期为6,因为32÷6=5......2,所以5³²除以7的余数是4