Lehmer's totient problem

Decide whether some composite number n has Euler's totient φ(n) dividing n − 1, as every prime does.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"number-theory"
5	],
6	"type": "construction",
7	"also": [
8	"proof"
9	],
10	"cover": {
11	"motif": "blocks"
12	},
13	"source": {
14	"key": "formal-conjectures",
15	"name": "Formal Conjectures",
16	"url": "https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Wikipedia/LehmerTotient.lean",
17	"id": "Wikipedia/LehmerTotient",
18	"curator": "Google DeepMind and contributors",
19	"poser": "D. H. Lehmer",
20	"status": "open",
21	"as_of": "2026-10-20",
22	"catalog": "0521c19bbd38"
23	},
24	"review": true,
25	"approval": "first-time"
26	}