PPL 069 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
Prize Problem LedgerErdősPPL 069Erdős Problem #634

Permanent problem IDPPL 069

Verified openErdősconjecture

Geometry

Erdős Problem #634

Find all n such that there is at least one triangle which can be cut into n congruent triangles.

geometry
01

The problem

Find all n such that there is at least one triangle which can be cut into n congruent triangles.

Open since1991source estimate
Last checked2026.07.26Catalog verification
02

Reward offers

Offer 01$25Paul Erdős / Combinatorics Foundation
Documented

A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.

03

Sources & reading