The prime quadruplet beginning with 667674063382677 · 2^33608 − 1, whose members have 10,132 decimal digits each, was found in February 2019. It is the largest known set of four primes in the tightest possible admissible pattern.
The question, scope, and sources behind this Registry record.
The prime quadruplet beginning with 667674063382677 · 2^33608 − 1, whose members have 10,132 decimal digits each, was found in February 2019. It is the largest known set of four primes in the tightest possible admissible pattern.
The number of decimal digits of the largest known prime quadruplet (p, p + 2, p + 6, p + 8), all four members 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.
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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-PRIME-QUADRUPLET
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Limits Registry. LR-LARGEST-KNOWN-PRIME-QUADRUPLET. Largest known prime quadruplet. 2026.