Problem 53955. Determine Fundamental Solution of Pell Equation
Given, a positive value (d), determine the fundamental solution [x, y] of the Pell equation: x^2 - d*y^2 = 1.
Provide character arrays of the outputs (x and y).
For example:
d=5;
[x,y]=pell(d)
x =
'9'
y =
'4'
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2 Comments
William
on 23 Apr 2022
The value of x_correct in Test #1 should be 1079 rather than 1089. I have verified this using the tabulated results for x and y in the Wikipedia.
William
on 23 Apr 2022
Oh, I see. If you use (x,y) = (1,0) for the 10 cases in which d is a perfect square, then x_correct does become 1089 in Test #1.
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