Number Theory Exercise 1 Prove that the equation 3x^2 + 2 = y^2 has no solution...

Number Theory

Exercise 1 Prove that the equation 3x^2 + 2 = y^2 has no solution (x, y) ∈ Z × Z. (Hint: consider the associated congruence modulo 3.)

Exercise 2 Prove that the equation 7x^3 + 2 = y^3 has no solution (x, y) ∈ Z × Z. (Hint: consider the associated congruence modulo 7.)

Expert Solution

Colby Messinger answered 2 years ago

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