Processing math: 100%

Problem #3

Largest Number

Find the positive integer n less than 100000 for which the equation x^{2} = ny^{2} + 1 has the largest fundamental value of x. The fundamental value of (x, y) is the smallest positive non-trivial integral solution to the equation. (1,0) is the trivial solution.

Note: You can ignore those values of n for which there are no fundamental solution to the given equation.

Contributed by Abhishek Das

Solved by 92 users

Log in to submit answers.

Is something wrong?

Maintaining a collection of high quality questions is our top priority. If, however, you do find an error, report the problem and we'll make sure it is reviewed soon.