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	}