Gapcoin Cryptocurrency - Prime Gap Records

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Gapcoin's prime gaps

In 2017 (confirmed in early 2018) the Gapcoin network found a new prime gap of maximum known merit! The merit M=G/ln(P1) of this gap is M=41.93878373153988, the largest merit of any known prime gap, and the first prime gap to be discovered with a merit exceeding 40. Source : https://faculty.lynchburg.edu/~nicely/

We already broke more than 544 records of first known occurrence prime gaps. (Note: New record data to be updated from the blockchain).

Also, if the difficulty reaches (or spikes above) 41.94, every block will be a new world record!

First known occurrence prime gaps

Gapcoin found 1215 first known occurrence prime gaps, and therefore broke the previous records for the smallest prime starting a gap with a specific length. The prime gaps were published at Dr. Nicely's site (https://faculty.lynchburg.edu/~nicely/).

  • Prime gaps from 4000 to 5998 - https://faculty.lynchburg.edu/~nicely/gaps/g4k.html
  • Prime gaps from 6000 to 7998 - https://faculty.lynchburg.edu/~nicely/gaps/g6k.html
  • Prime gaps from 8000 to 9998 - https://faculty.lynchburg.edu/~nicely/gaps/g8k.html
  • Prime gaps from 10000 to 14998 - https://faculty.lynchburg.edu/~nicely/gaps/g10k.html
  • Prime gaps from 15000 to 19998 - https://faculty.lynchburg.edu/~nicely/gaps/g15k.html
  • Prime gaps from 20000 to 24998 - https://faculty.lynchburg.edu/~nicely/gaps/g20k.html
  • Prime gaps from 25000 to 29998 - https://faculty.lynchburg.edu/~nicely/gaps/g25k.html
  • Highest merits

    The merit of a prime gap is the ratio of it's size to the average prime gap size. With higher primes the average gap size increases. The merit is a measurement for how hard it is to find a gap.

    Gapcoin's new first known occurrence prime gaps

    Gapcoin currently (10th September 2019) found 396 new prime gaps not listed by Dr. Nicely.

    119 of those gaps are improvements of Gapcoin's own records, and 277 are new records broken by Gapcoin.

  • - http://gapcoin.org/primegaps-length.php
  • - https://web.archive.org/web/20200219182446/http://gapcoin.org/primegaps-length.php
  • Gapcoin's highest found merits as of 10th September 2019 (Top 30)

  • - http://gapcoin.org/primegaps-merits.php
  • - https://web.archive.org/web/20200219231207/http://gapcoin.org/primegaps-merits.php

  • Source: "The Original" Gapcoin website: gapcoin.org


    Prime Gap List Project:

    Top 20 overall merits | Exhaustively analyzed gaps

    Recovery and curation of Dr. Thomas Ray Nicely’s list of first known occurrence prime gaps

    Prime Gap List Project | Prime Gap List Project Resources on GitHub | mersenneforum.org - Prime Gap Search Group


    Original Website - gapcoin.org | BitcoinTalk.org Old Forum Announcement | Old Gapcoin Source Code | Gapcoin Block Explorer


    In memory of Dr. Thomas Nicely 1943 - 2019 curator of Gapcoin's prime gap records.



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    Disclaimer(s) (Warning): Gapcoin (GAP) is NOT associated with the gapschain AI token project (GAPS)

    Gapcoin (GAP) is NOT associated with the "Pi Network" project.


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