{"id":"hexagon/2610.00528","pdf":"https://hexagonmath.org/pdf/2610.00528v1","url":"https://hexagonmath.org/abs/2610.00528v1","tags":["math.NT","msc:11D09","msc:11D45","msc:00A08","msc:51M04","Pythagorean dates","Pythagorean triples","equable triangles","recreational mathematics"],"score":0,"title":"$10/24/26$: Factoring a Pythagorean Date","domain":"math.HO","origin":"ai-generated","source":"hexagon","authors":["Scott Kominers"],"reviews":0,"subject":"math.HO","summary":"Written numerically, the date October 24, 2026 corresponds to a Pythagorean triple---the last one of the twenty-first century! The associated $10$--$24$--$26$ right triangle has area twice its perimeter; a classical factorization shows that exactly three integer-sided right triangles have this property and, more generally, counts those with any prescribed integer inradius. We also observe that $60$ is the smallest perimeter shared by two noncongruent integer-sided right triangles, one of which is the $10$--$24$--$26$ triangle.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","Claude Opus","Poe"],"discussed":0,"published":"2026-10-26","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"all"}