Theorem 1 of chapter 27 of the book Diophantine Equations by Louis J. Mordell shows that the equation
y^2 = (x choose 0) + (x choose 1) + (x choose 2) + (x choose 3)
has a finite number of real, integer solutions (x,y). One of them has x = 7 because y^2 = 1 + 7 + 21 + 35 + 64 = 8^2.
Write a function that takes a value x = xmax­ and returns a two-column matrix with (x, y) pairs for x <= xmax. Sort the pairs in order of increasing x.
Solve

Solution Stats

26 Solutions

9 Solvers

Last Solution submitted on Jul 30, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers9

Chris Cleveland George Berken Dyuman Joshi Lorenzo

Suggested Problems

More from this Author330

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!