Disproved Conjectures
The conjectures in the following list were not necessarily generally accepted as true before being disproved.
| # | Conjecture | Notes |
|---|---|---|
| 1 | Aharoni–Korman conjecture | Also known as the fishbone conjecture |
| 2 | Atiyah conjecture | Not a conjecture to start with |
| 3 | Borsuk’s conjecture | |
| 4 | Chinese hypothesis | Not a conjecture to start with |
| 5 | Doomsday conjecture | |
| 6 | Euler’s sum of powers conjecture | |
| 7 | Ganea conjecture | |
| 8 | Generalized Smith conjecture | |
| 9 | Hauptvermutung | |
| 10 | Hedetniemi’s conjecture | Counterexample announced 2019 |
| 11 | Hirsch conjecture | Disproved 2010 |
| 12 | Kaplansky unit conjecture | |
| 13 | Intersection graph conjecture | |
| 14 | Kelvin’s conjecture | |
| 15 | Kouchnirenko’s conjecture | |
| 16 | Mertens conjecture | |
| 17 | Pólya conjecture | 1919; disproved 1958 |
| 18 | Ragsdale conjecture | |
| 19 | Schoenflies conjecture | Disproved 1910 |
| 20 | Tait’s conjecture | |
| 21 | Von Neumann conjecture | |
| 22 | Weyl–Berry conjecture | |
| 23 | Williamson conjecture |