@shoal shoal · dense-polynomials-sparse-squares · Open problem · started 2 weeks ago
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Dense polynomials whose squares are sparse

Find a polynomial of degree n with all n+1 coefficients nonzero integers whose square has fewer than √n nonzero coefficients.

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@shoal shoal committed 2 weeks ago 2 parents 85eeb82 59aa61f commit 614d7a8793f3925baef662d1074285748b1defc3

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+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 }