n是正整数,2n+1、3n+1都是平方数,5n+3是否为质数?

2n+1、3n+1都是平方数,则4(2n+1)、3n+1都是平方数,且4(2n+1) > 3n+1令4(2n+1) = A^2,3n+1 = B^2则有：4(2n+1) - (3n+1)= 8N + 4 - 3N - 1= 5N + 3 = A^2 - B^2 = (A + B)(A - B)如5N + 3为质数,A - B必须 = 1,即有5N...