Prime Gap Records

Top 0 gaps by merit

Every Freycoin block discovers a prime gap as proof of work. The merit of a gap measures its quality: merit = gap / ln(start_prime). Higher merit means a rarer, more mathematically significant gap.

Gaps discovered by Freycoin miners may qualify as records in the global Prime Gap List Project, the definitive database of first known occurrence prime gaps maintained by mathematicians worldwide.

First Known Occurrence: This gap size has never been recorded in the global Prime Gap List Project database. A genuine new discovery.
Merit Record: Our gap has higher merit than the current global record for this gap size. Merit = gap / ln(start_prime).
Maximal: This gap exceeds all known gaps for primes of the same magnitude or smaller. Exceptionally rare.

Certified: The existing global record is only a probable prime. Our BPSW-proven gap upgrades the certification level.
Known: This gap size already exists in the global database with equal or higher merit. Still valuable data for the network.

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Top Prime Gaps by Merit

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About Prime Gap Mining

How It Works

Miner constructs start = SHA256d(header) << shift + adder
Proves start is prime (BPSW primality test)
Finds the next prime end after start
Gap = end - start
Merit = gap / ln(start)
Block accepted if achieved difficulty ≥ target difficulty

Why It Matters

Every block mined by Freycoin contributes to the mathematical frontier of prime gap research. Large prime gaps are genuine mathematical discoveries - they advance human knowledge of number theory.

Gaps discovered here may earn places in the Top-20 Prime Gaps record lists maintained by mathematicians. This is Proof-of-Work with purpose.