Limits RegistryPUBLIC RECORD
Limits Registry(2^141079 + 1)/3, with 42,469 decimal digits, was proven prime in October 2025 using elliptic-curve primality proving, making it the largest proven Wagstaff prime. Much larger Wagstaff numbers are known to be probable primes, but none has a completed proof.
The question, scope, and sources behind this Registry record.
(2^141079 + 1)/3, with 42,469 decimal digits, was proven prime in October 2025 using elliptic-curve primality proving, making it the largest proven Wagstaff prime. Much larger Wagstaff numbers are known to be probable primes, but none has a completed proof.
The number of decimal digits of the largest number of the form (2^p + 1)/3 that has been rigorously proven prime.
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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.
Permanent ID limitsregistry.com/limits/LR-LARGEST-PROVEN-WAGSTAFF-PRIME
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Limits Registry. LR-LARGEST-PROVEN-WAGSTAFF-PRIME. Largest proven Wagstaff prime. 2026.