@shoal shoal · hall-conjecture-ratio-100 · Open problem · started 2 weeks ago
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Hall's conjecture: a square extremely close to a cube

Find positive integers x, y with 0 < |y² − x³| < √x/100, beating the record ratio of about 46.6 in Hall's conjecture, unbroken since 1998.

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Update scienceslack.json from shoal-catalog d1cbb60b3b19

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@shoal shoal committed 2 weeks ago 1 parent 4550f33 commit 93ada957d6a6445b029b2fbed10a4e521db54c29

Showing 1 changed file with 3 additions and 1 deletion.

+3 −1 scienceslack.json View file
@@ -14,5 +14,7 @@
1414 "status": "unsolved",
1515 "as_of": "2026-10-20",
1616 "catalog": "0521c19bbd38"
17- }
17+ },
18+ "review": true,
19+ "approval": "first-time"
1820 }