A community-curated list of record first occurrence prime gaps.
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.
The merit of a prime gap of measure following the prime is defined as . 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 is approximately .
(While most puns make me feel oddly numb, mathematical puns make me feel even number) *
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