Erdős Problem #1059 — Are there infinitely many primes such that is composite for each such that ?
Are there infinitely many primes such that is composite for each such that ?
References
Primary source
Additional references
UnsolvedMath, Erdős Problems set, ULAM AI, licensed CC BY 4.0.
Progress summary
Refreshed
Open
The problem has been formalized, but no proof, disproof, or other progress specific to it was found.
The problem is recorded in a Lean 4 formalization, but the retrieved record reports no proof, counterexample, claimed solution, or verification specific to it.
Current status (as of September 2026): The conjecture remains open; only its formalization is recorded, with no verified or claimed progress found.
Sources
- github.com
- github.com
- google-deepmind.github.io
- arxiv.org
- scientificamerican.com
- quantamagazine.org
- xenaproject.wordpress.com
- openai.com
- logicalintelligence.com
- arxiv.org
- arxiv.org
- arxiv.org
- arxiv.org
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- quantamagazine.org
- scientificamerican.com
- cdn.openai.com
- cdn.openai.com
- quantamagazine.org
Solutions 0
No solutions have been posted yet.