Problem 1215. Diophantine Equations (Inspired by Project Euler, problem 66)
Solution Stats
Problem Comments
-
4 Comments
How exactly does, "6492 – 13×1802 = 1", as given in the example?
The 2s at the end of 649 and 180 used to be superscripts. I'm not quite sure when that changed, but it is fixed now. Thanks for the heads up on that.
No problem. Thanks for the fix!
Some tips. Continued fractions are the main way for finding the fundamental solutions to Pell's equations. And square roots have patterns in continued fractions.
Solution Comments
-
1 Comment
I've used continued fractions and this link for my solution https://math.stackexchange.com/questions/2215918/continued-fraction-of-sqrt67-4/2216011#2216011
-
1 Comment
Sorry, I got stuck just trying to figure out how to use a switch statement again. This is not a solution.
-
1 Comment
Nice usage of DEAL and determination of intermediate integer solution to Pell's algorithm.
Problem Recent Solvers40
Suggested Problems
-
6559 Solvers
-
296 Solvers
-
Given a window, how many subsets of a vector sum positive
818 Solvers
-
Replace Nonzero Numbers with 1
273 Solvers
-
239 Solvers
More from this Author80
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!