If my calculations are correct, there are about 700-odd Gapcoin-discovered prime gaps of record merit yet to be added to the list. As has been observed here, Gapcoin's contribution to the domain of number theory is pretty much the sole raison d'être for the coin and it is likely to suffer badly if starved of the oxygen of a solid foundation for the curation of the existing list of prime gap+merit records.
Thus far, I've managed to get Tom Nicely's cplp4 gap-checking C code to compile under Linux and I have been able to extract all the gaps+merit from the blockchain and use cglp4 to compare them with the last list published (in August, I believe) by Tom Nicely. Some of the previous Gapcoin-discovered record gaps have been superseded by later gaps with more merit (see below), others still stand - according to cglp4 at any rate - and there are some yet to be added.
A complete reconstruction of the history of the growth of the prime gap list from the first "up to a gap size of 2000" in 2000 to "a gap size of over 1 million" 2019 (scroll down, down, down) has proved infeasible. Over time, the list has grown significantly and, for presentation purposes, was originally separated into subsections (2000-4000, 4000-6000, 6000-8000, and so on).
Unfortunately, as can be clearly seen from the capture history of the g6k (6000-8000) list, there are huge gaps in the internet archive's historical coverage so there are huge temporal gaps in the record and changes mostly appear as huge indigestible chunks. According to the internet archive, Tom moved in 2015 to publishing an "allgaps.dat" list of all of the prime gap records but captures have been sporadic.
If you are interested, here the results of some of my preliminary work on a git representation of the update history of the prime gaps records list which I fabricated from internet archive saved pages (scroll down to line 2973 to see where one of Rob Smith's prime gap records with greater merit replaces the earlier Gapcoin record).
The last-published state of play of all the lists, along with the C sources of cglp4 are still available from Tom Nicely's web site. Currently, I'm working on the data presentation, I have remapped the allgaps.dat list into a sqlite3 database, for use with the Javascript sql.js library which allows one to import a sqlite3 database and pose SQL queries in the browser:
More to come later.
Cheers
Graham
Top of the class !
I have always meant to start communicating with the mathematician's over at mersenne forum and posted a while back in this thread. I will add some backlinks to the club website in good time. A proverbial melting pot.
Looking forward to more later !
Thanks for your defining interest and continuing work on this.
...
Getting around to spinning up and testing Branch v.0.9.3 on some new instances.
We should re-launch the testnet (again!).
~ The 'testnet' in-built miner ('old' binaries) appear to be the original release ... before the optimized 2nd release / inclusion ? or perhaps I missed something ?
Bitcoin = Number Go Up
Gapcoin = Number Go Up (and Down)