Problem 51471. Find integer solutions to an equation with a sum of binomial coefficients

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

30.43% Correct | 69.57% Incorrect
Last Solution submitted on Aug 11, 2021

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers6

Suggested Problems

More from this Author282

Problem Tags

binomial diophantine

Community Treasure Hunt

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

Start Hunting!