Let p and 2p + 1 be prime numbers and z is an integer. Are

Last updated: 7/28/2022

Let p and 2p + 1 be prime numbers and z is an integer. Are these nonlinear Diophantine equation have an integer solution? In what form? a. p¹ +(2p + 1)¹ = z² b. p¹ +(2p + 1)² = z² c. p² + (2p+1)¹ = z² d. p¹ +(2p + 1)³ = z² e. p² + (2p + 1)² = z² f. p³ +(2p+1)¹ = z²