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Lehmer's Mahler measure problem

Beat Lehmer's 1.17628 with an integer polynomial of smaller Mahler measure above 1, or prove the measures stay away from 1.

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1{
2 "domain": "mathematics",
3 "topics": [
4 "number-theory"
5 ],
6 "type": "construction",
7 "also": [
8 "proof"
9 ],
10 "source": {
11 "key": "optimization-constants",
12 "name": "Optimization Constants in Mathematics",
13 "url": "https://teorth.github.io/optimizationproblems/constants/40a.html",
14 "id": "40a",
15 "curator": "Terence Tao and contributors",
16 "poser": "D. H. Lehmer",
17 "status": "open",
18 "as_of": "2026-10-20",
19 "catalog": "0521c19bbd38"
20 },
21 "review": true,
22 "approval": "first-time"
23}