Let p and 2p + 1 be prime numbers and z is an integer. Are these nonlinearDiophantine equation have an integer solution? In what form?a. p¹ +(2p + 1)¹ = z²b. p¹ +(2p + 1)² = z²c. p² + (2p+1)¹ = z²d. p¹ +(2p + 1)³ = z²e. p² + (2p + 1)² = z²f. p³ +(2p+1)¹ = z²