Gapcoin Cryptocurrency - New Prime Gap of Maximum Known Merit

In memory of original Gapcoin developer John Allen Frey 1991 - 2017

START PRESS RELEASE - MARCH 2018 - FROM GAPCOIN.CLUB

Source : http://www.trnicely.net/#MaxMerit

NEW PRIME GAP OF MAXIMUM KNOWN MERIT

" The Gapcoin network (Jonnie Frey, developer), a Bitcoin derivative which employs a hashing algorithm to search for prime gaps of high merit, has discovered a new prime gap of maximum known merit, a gap of G=8350 following the 87-digit prime P1=293703234068022590158723766104419463425709075574811762098588798217895728858676728143227. 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. The endpoints of the gap have been certified as primes deterministically, using the Akiyama-Kida-O'Hara UBASIC implementation (1988-1992) of the APRCL2 test, due to Adleman, Pomerance, Rumely, Cohen, H. W. Lenstra, and A. K. Lenstra (1984-1987).

However, Bertil Nyman's maximal gap of 1132, following the prime 1693182318746371 (discovered 24 January 1999), continues to exhibit the greatest known value (0.92063858855742) of the Cramér-Shanks-Granville ratio G/ln²(p_1); this ratio is 0.210642105494715467 for the new Gapcoin gap. The limit superior of this ratio has been conjectured to be unity (or some even larger value); see the discussion in "New prime gaps between 1e15 and 5e16".

Thanks to Dana Jacobsen for alerting me to the discovery of this gap. "

gapcoin world record prime gap 2017 wikipedia

Screenshot from wikipedia : https://en.wikipedia.org/wiki/Prime_gap

END PRESS RELEASE - MARCH 2018 - FROM GAPCOIN.CLUB


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