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BChydro


December 13, 2014, 10:07:55 PM 

I'm confused by what a gap and a merit is




GreekBitcoin
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getmonero.org


December 13, 2014, 10:52:32 PM 

I'm confused by what a gap and a merit is
You have two following prime numbers like p _{n}=11 and p _{n+1}=13. The gap is g _{n}=1311=2. The ratio of g _{n} / ln(p _{n}) is called the merit of the gap g _{n}. Now why and if bigger merit is important i dont know.




j0nn9


December 14, 2014, 07:08:56 PM 

I'm confused by what a gap and a merit is
You have two following prime numbers like p _{n}=11 and p _{n+1}=13. The gap is g _{n}=1311=2. The ratio of g _{n} / ln(p _{n}) is called the merit of the gap g _{n}. Now why and if bigger merit is important i dont know. The average size of a prime gap increases with higher primes and is about ln(p _{n}). In fact it its very trivial to find a gap with at least length n: For any prime number P, we write P# for P primorial, that is, the product of all prime numbers up to and including P. If Q is the prime number following P, then the sequence
P#+2, P#+3,...,P#+(Q1)
is a sequence of Q − 2 consecutive composite integers, so here there is a prime gap of at least length Q − 1. Therefore, there exist gaps between primes which are arbitrarily large, i.e., for any prime number P, there is an integer n with g_{n} ≥ P
The merit is the ratio of the size of a prime gap in comparison to the average size of a prime gap in the proximity of p. To find a gap with at least merit m, the average calculation amount is e^m primes. To sum it up it is easy to find long prime gaps, but it is very difficult to find prime gaps with a high merit.

Gapcoin  The largest, decentralized prime gap search



j0nn9


December 14, 2014, 11:54:52 PM 

I just wrote cryptsy, and they "submitted the coin to their development team who will review it to see if it meets the requirements for addition to the Cryptsy exchange."

Gapcoin  The largest, decentralized prime gap search




agran


December 15, 2014, 03:40:52 PM 

Please vote on https://askcoin.net/votesWe already got 2,000 votes, this 22nd place. (First place  11,000 votes) p.s. PM me me and I will send you instructions on how to vote.




sparkster


December 16, 2014, 12:48:58 PM 

It's the shame that coin with such beautiful idea for PoW is semidead now. No way we can set a record with such volume and price. Well, RIC also not very active, but I think prime gape searching is more simple and elegant idea, also more clear for 'average man'. Looks like only good old Primecoin is more or less alive in 'prime family'.




j0nn9


December 16, 2014, 04:20:29 PM 

Hi there, I just want to inform you that Gapcoin just broke 544 records of first known occurrence prime gaps. The records are listed here: http://www.trnicely.net/gaps/g4k.htmlhttp://www.trnicely.net/gaps/g6k.htmlEven if we are currently a few of steps away from the world record of the highest merit primegap, I'm pretty sure Gapcoin can break some more records on those lists. All gaps found by the Gapcoin network can be download either as plaintext or zip from the website ( http://gapcoin.org/downloads.php). The files are updated every hour. I'm currently working on a method (involving Chinese remainder theorem) to improve the mining algorithm. (I'm not really sure if it can be applied to Gapcoin's mining algorithm, but I'll keep trying) I'll also working on a tool for parsing and processing Gapcoins prime gaps. (both will be released here, when finished)

Gapcoin  The largest, decentralized prime gap search



dave23


December 16, 2014, 08:13:25 PM 

Hi there, I just want to inform you that Gapcoin just broke 544 records of first known occurrence prime gaps. The records are listed here: http://www.trnicely.net/gaps/g4k.htmlhttp://www.trnicely.net/gaps/g6k.htmlEven if we are currently a few of steps away from the world record of the highest merit primegap, I'm pretty sure Gapcoin can break some more records on those lists. All gaps found by the Gapcoin network can be download either as plaintext or zip from the website ( http://gapcoin.org/downloads.php). The files are updated every hour. I'm currently working on a method (involving Chinese remainder theorem) to improve the mining algorithm. (I'm not really sure if it can be applied to Gapcoin's mining algorithm, but I'll keep trying) I'll also working on a tool for parsing and processing Gapcoins prime gaps. (both will be released here, when finished) You should send this to news@coindesk.com!




j0nn9


December 17, 2014, 12:21:49 AM 

You should send this to news@coindesk.com!
I already wrote them, once we got listed within the top20, but I submitted the new records too.

Gapcoin  The largest, decentralized prime gap search



Aleh777


December 17, 2014, 10:10:22 AM 

It's the shame that coin with such beautiful idea for PoW is semidead now. No way we can set a record with such volume and price. I don't think it's dead, I don't think anyone has ever heard of it, yet. I found out about it on accident. I think a tiny bit of promotion would bring many people in. The coin's early inflation is what was driving the price down, the total coins was doubling every few days, then weeks, I think now it is probably 50 days until it doubles again. But market cap has stayed around $5000 the whole time. No one is dumping (I'd buy if they were), and only 30% of all coins are on poloniex. Who's hoarding the rest? And to top it off the hashrate has not dropped much, it is around the same it was a month ago, it did not crash even though the price did. So I am still very optimistic on this coin. Overtake Donald Knuth's record and you've got a great news story that can make it to programmer circles and gain new interest. need some updates: 1. wallet 2. site for a start it will be enough.




agran


December 17, 2014, 08:07:33 PM 

Please vote on https://askcoin.net/votesWe already got 3,000 votes, this 12nd place. (First place  8,500 votes) p.s. PM me me and I will send you instructions on how to vote.




j0nn9


December 17, 2014, 10:56:46 PM 

need some updates: 1. wallet 2. site for a start it will be enough.
crz just sent me the new logos for the wallet, unfortunately I don't have access to my compiler environment over the holidays, but I'll publish the next wallet release afterwards. I just made a few updates to the website, including the prime gap section. The is a new site containing new first known occurrence prime gaps which are not yet listed at http://www.trnicely.netI'll frequently submit the gaps listed there, so please don't spam Dr. Nicely. http://gapcoin.org/primegapslength.phpps: I submitted the gaps only two days ago, and we already found 29 new records.

Gapcoin  The largest, decentralized prime gap search



AdamWhite


December 18, 2014, 05:12:37 AM 

Has anyone been able to run the GPU miner on an Nvidia card or Amazon GPU instances? Trying to mine on my 750ti's without any success so far 




Fitamp
Jr. Member
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Activity: 45
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December 18, 2014, 05:15:40 AM 

need some updates: 1. wallet 2. site for a start it will be enough.
crz just sent me the new logos for the wallet, unfortunately I don't have access to my compiler environment over the holidays, but I'll publish the next wallet release afterwards. I just made a few updates to the website, including the prime gap section. The is a new site containing new first known occurrence prime gaps which are not yet listed at http://www.trnicely.netI'll frequently submit the gaps listed there, so please don't spam Dr. Nicely. http://gapcoin.org/primegapslength.phpps: I submitted the gaps only two days ago, and we already found 29 new records. Enjoy your holidays




j0nn9


December 18, 2014, 10:45:29 PM 

Enjoy your holidays Thanks I also want to thank you all for your great support, without you Gapcoin wouldn't be where it is now. I wish you all a Merry Christmas and a Happy New Year!

Gapcoin  The largest, decentralized prime gap search



hankrules


December 19, 2014, 02:10:21 AM 

Enjoy your holidays Thanks I also want to thank you all for your great support, without you Gapcoin wouldn't be where it is now. I wish you all a Merry Christmas and a Happy New Year! Much love here. Sorry, I need to catch up here. What is the most efficient way to achieve more records? First, is it through CPU or GPU mining?




Damadegyptian
Member
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Activity: 69
Merit: 10


December 19, 2014, 07:27:46 AM 

Enjoy your holidays Thanks I also want to thank you all for your great support, without you Gapcoin wouldn't be where it is now. I wish you all a Merry Christmas and a Happy New Year! Much love here. Sorry, I need to catch up here. What is the most efficient way to achieve more records? First, is it through CPU or GPU mining? GPU mining is faster, providing you have a CPU that can handle the work... so both really, or just a some good powered CPU's




BChydro


December 19, 2014, 11:07:46 AM 

Are there any direct scientific benefits to finding large prime gaps?




