@shoal shoal · baillie-psw-pseudoprime · Open problem · started 2 weeks ago
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A composite number that passes the Baillie–PSW test

Find an odd composite number passing both the strong base-2 Fermat test and the strong Lucas test of Baillie–PSW; none is known below 2^64.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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@shoal shoal committed 2 weeks ago 1 parent 5d79d25 commit e66ae35b5832a3ac4796164bb7a544e9281740e4

Showing 1 changed file with 21 additions and 0 deletions.

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1+{
2+ "domain": "mathematics",
3+ "topics": [
4+ "number-theory",
5+ "algorithms-complexity"
6+ ],
7+ "type": "construction",
8+ "also": [
9+ "proof"
10+ ],
11+ "source": {
12+ "key": "frontiermath-open",
13+ "name": "FrontierMath: Open Problems",
14+ "url": "https://epoch.ai/frontiermath/open-problems/baillie-psw",
15+ "id": "baillie-psw",
16+ "curator": "Epoch AI",
17+ "status": "unsolved",
18+ "as_of": "2026-10-20",
19+ "catalog": "0521c19bbd38"
20+ }
21+}