First Occurrences of prime gaps

For each prime gap the leading prime of its definite first occurrence is listed below. Missing prime gaps have a 1. occurrence with the trailing prime somewhere above x=1e+18 and its first occurrence may or may not be known.

Also listed is the figure of merit defined as gapsize divided by the natural logarithm of the leading prime, the latter representing the average gap size at the place of first occurrence. Presently ( July 2008 ) the gap of size 1442 has the highest known figure of merit, see also the list of The Top-20 Prime Gaps by Jens Kruse Andersen.

A star behind a gap size indicates that this particular gap is a maximal gap which is defined as a gap which is larger than all gaps with a leading prime smaller than that of the maximal gap.

All data displayed were produced as part of Oliveira e Silva's Goldbach Verification Project