Limits RegistryPUBLIC RECORD
Limits RegistryThe largest known primorial prime is 9562633# + 1, with 4,151,498 digits, found in 2025 by the PrimeGrid project. Primorial primes are echoes of Euclid's proof that there are infinitely many primes.
The question, scope, and sources behind this Registry record.
The largest known primorial prime is 9562633# + 1, with 4,151,498 digits, found in 2025 by the PrimeGrid project. Primorial primes are echoes of Euclid's proof that there are infinitely many primes.
The largest known prime of the form p# + 1 or p# - 1, where p# is the product of all primes up to p.
Change a parameter to stress-test whether a proposed result is still inside the published specification. This is an audit aid, not a proof checker.
This record has no editable parameters. Read the formal question and assumptions before challenging it.
Current frontiers derived from accepted Claims.
An observed or demonstrated result; no opposing bound is implied.
The frontier is not sacred
Most progress starts with a disagreement that survives contact with evidence. If you can push the known lower bound up or pull the upper bound down, show us the work.
≥ when you have shown that at least this value is achievable.≤ when you have shown that anything above this value is impossible.No vibes. State the value, define the scope, and link the paper, proof, code, or reproduction that lets another person check it. Editors review every challenge before the public record changes.
Challenge this recordAssertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
1 accepted Claim, with 1 linked evidence records.
Permanent ID limitsregistry.com/limits/LR-LARGEST-KNOWN-PRIMORIAL-PRIME
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Limits Registry. LR-LARGEST-KNOWN-PRIMORIAL-PRIME. Largest known primorial prime. 2026.