Mathematics, 22.08.2019 20:30, remyboy1938

(5) non-linear diophantine equations (5 marks) (a) let p be a prime such that p = 2,3 mod 5. prove the diophantine equation: x^2 – 5y² =p has no integer solutions. (b) find primes of the form p = 0,1,4 mod 5 (one for each congruence class) for which there are solutions to the equation in part a) and give a solution in each case.

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(5) non-linear diophantine equations (5 marks) (a) let p be a prime such that p = 2,3 mod 5. prove t...