The Gapcoin project

Community resources for Gapcoin, a prime gap based peer-to-peer cryptocurrency

Instead of just hashing, Gapcoin’s Proof of Work function actually does useful work by searching for large prime gaps¹ of record merit².

Launched in Oct. 2014 without premine and designed not to enrich early adopters, the coin supply increases logarithmically with difficulty.

The current Gapcoin codebase is based on segwit- and CLTV-capable Bitcoin 0.16.3 with optional extended GUI/RPC functionality and OP_RETURN txs.

About Gapcoin (Oct. 2014 announcement)

FAQ

Prime gaps and the Gapcoin rationale

Gapcoin maths

Developer j0nn9’s bitcointalk technical posts

¹ A prime gap is the difference between successive prime numbers; it constitutes a first occurrence when no preceding gap has an equal value. A first occurrence prime gap is maximal if the gap strictly exceeds all preceding gaps.

² The merit $M$ of a prime gap of measure $g$ following the prime $p$ ₁ is defined as $M=g/ln(p$ ₁). It is the ratio of the measure of the gap to the “average” measure of gaps near that point; as a consequence of the Prime Number Theorem, the average difference between consecutive primes near $x$ is approximately $ln(x)$ .

(While most puns make me feel oddly numb, mathematical puns make me feel even number) *