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The Riesel problem

Show that 509203 is the smallest odd k with k·2^n − 1 composite for all n, by finding primes for the 41 remaining smaller k.

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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/OEIS/108129.lean",
17 "id": "OEIS/108129",
18 "curator": "Google DeepMind and contributors",
19 "poser": "Hans Riesel",
20 "status": "open",
21 "as_of": "2026-10-20",
22 "catalog": "0521c19bbd38"
23 },
24 "review": true,
25 "approval": "first-time"
26}