Let a and b be positive integers such that a + bz = x^3 + y^4 has no solutions for any integers x, y, z, with b as small as possible, and a as small as possible for the minimum b. Find ab.
Let a and b be positive integers such that a + bz = x^3 + y^4 has no solutions for any integers x, y, z, with b as small as possible, and a as small as possible for the minimum b. Find ab.