🔬 Discovery

Boolean Pythagorean triples problem

Problema del triplete booleano

Date
2016 · confidence high
Place
Austin, Texas, United States
Credited to
Marijn Heule, Oliver Kullmann, and Victor W. Marek (2016), on a problem associated with Ronald Graham
Field
Knowledge & symbols

What was discovered

Ramsey-theory problem asking whether the positive integers can be 2-colored so that no Pythagorean triple is monochromatic; solved in 2016 with a computer-assisted proof showing it is only possible up to the number 7824.

What it led to

  • the largest computer-assisted proof to that date (200 terabytes)
  • advances in SAT solvers
  • renewed interest in computational Ramsey theory
  • debate over mathematical proofs unverifiable by hand

Links

Sources✓ verified 2026-09-28