EularProject 66:Diophantine equation
Andrew Zhang
Nov 4, 2017
Consider quadratic Diophantine equations of the form:
For example, when D=13, the minimal solution in x is
It can be assumed that there are no solutions in positive integers when D is square.
By finding minimal solutions in x for D = {2, 3, 5, 6, 7}, we obtain the following:
Hence, by considering minimal solutions in x for D ≤ 7, the largest x is obtained when D=5.
Find the value of D ≤ 1000 in minimal solutions of x for which the largest value of x is obtained.
Answer:
661
Completed on Thu, 26 Oct 2017, 17:30
Go to the thread for problem 66 in the forum.