Re: [ANN][GAP] Gapcoin - Prime Gap Search - New Math Algo - CPU / GPU - Zero Premine
Hi there,
first of all Id like to thank you all for your great support over the years.
Second I want to confirm that Gapcoin indeed broke the World Record for the largest known prime gap of maximum merit:
World Record listed at: http://www.trnicely.net/#MaxMerit
The current bounty for the World Record of 50,000 GAP is out to the mining address of the 41.9 merit Gap GJtsALGXvATz8DEakokLDQRa9dF49AFt7F which seems to belong to Andrey Balyakin.
So thanks, and congratulation Andrey Balyakin, for mining the World Record prime gap
first of all Id like to thank you all for your great support over the years.
Second I want to confirm that Gapcoin indeed broke the World Record for the largest known prime gap of maximum merit:
Quote
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).
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).
World Record listed at: http://www.trnicely.net/#MaxMerit
The current bounty for the World Record of 50,000 GAP is out to the mining address of the 41.9 merit Gap GJtsALGXvATz8DEakokLDQRa9dF49AFt7F which seems to belong to Andrey Balyakin.
So thanks, and congratulation Andrey Balyakin, for mining the World Record prime gap
Nice one! Welcome back @j0nn9 !
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(source) World Record listed at: http://www.trnicely.net/#MaxMerit
"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."
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(source) - Prime Gap Searches Crowdfunding - http://www.mersenneforum.org/showthread.php?t=22478
Quote : 2017-07-27, 22:53 "Dana Jacobsen" : ... "The gapcoin project makes a number of claims, such as "[...] lead to new breakthroughs in the bounded gap, it may also help proving the Twin Prime Conjecture and maybe even the millennium problem, the Riemann hypothesis." which is stretching things pretty severely. Finding new jumping champions helps bound the absolute gap size for some practical computations. It's possible the results will lead to some insight or data about gap size conjectures. It drives development of open source number theory software, which can be used for other tasks." ...
Quote : 2017-07-28, 07:52 "Dana Jacobsen" : ... "The Gapcoin project forum has regular discussion of how they want to get "math departments" interested in running Gapcoin mining software. It's a rather bizarre place, with a third of the people interested solely in ways to pump the price, a third who cannot form coherent thoughts but apparently the government is spying on them, and a third really wanting it to Help Science in some way while also mining coins." ...
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Bitcoin 101 - "First they ignore you, then they laugh at you, then they fight you, then you win." - Mahatma Gandhi
So, Gapcoin currently has a world record prime gap - achieved even without the support of a crypto mining pool - imagine the results with network hashing power equal to that of the Bitcoin network, for example. Not to shabby for a network limping along with sometimes less than 30-ish (stable) nodes!
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Hiatus - I'm currently busy completing work for a Zcash related project (preferring my digital-cash with actual Entropy these days!).
Keen to keep my Gapcoin infrastructure online and to upgrade with developments as we progress, hopefully.
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P.S. "The government spies on everyone" , "There are known knowns" ~ SWIM
