Number Theory
Exercise 1 Prove that the equation 3x^2 + 2 = y^2 has nosolution (x, y) ? Z × Z. (Hint: consider the associated congruencemodulo 3.)
Exercise 2 Prove that the equation 7x^3 + 2 = y^3 has nosolution (x, y) ? Z × Z. (Hint: consider the associated congruencemodulo 7.)
