[ANN][GAP] Gapcoin - Prime Gap Search - New Math Algo - CPU / GPU - Zero Premine - page 17.

BitcoinFX

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https://youtu.be/DsAVx0u9Cw4 ... Dr. WHO < KLF

Quote from: ?? on ??

...snip...

The main point, looking at the coin’s emission, is that the coin was primarily designed to give a lot of coins to early miners. It’s main goal was not to find prime gaps for many years.

That’s fine. A lot of the coin economy is about trying to hype up things and convince people to pretend that this or that coin has some incredible value because bags shouldn’t go to waste.

I’m fine with that, and wish well for the development of gapcoin since I have a small amount. Eventually there will be a shift to genuine science coins which use taskwork by miners, and I will keep watching for that, but gapcoin is an interesting coin that may do well on its current path.

Gapcoins focus has always been prime gap discovery ... since block 1 ... that is gapcoin's Proof-of-Work functionality. Roll Eyes

- https://github.com/gapcoin/Gapcoin-PoWCore

The emission is relative to the network difficulty (and of course the block halving). Again, ...

* Block reward proportional to the current difficulty
* Block reward halving every 420000 (about 2 years)
* Cap: about 10 - 30 million GAP
* Difficulty adjusts every block and increases logarithmically (it will probably take years to get to 50)

The economic model, in this regard, might be considered somewhat superior to Bitcoin.

Gapcoin mining, relative to Bitcoin has not even been pushed (logarithmically) much past the center of the spiral (network difficulty).

...

As with Bitcoin, don't blame the code because you didn't (or couldn't) mine from block 1.

Don't blame the market or others because you didn't (or couldn't) buy coins when the price of market was relatively low.

Don't SPNDL and complain that you didn't HODL, because trust me, no one cares! Not even 1 Satoshi.

greed != prime_gaps [citation needed !?]

BitcoinFX

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Activity: 2646

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Quote from: ?? on ??

Quote from: UsernameNumber7 on September 16, 2020, 02:26:55 AM

Incidentally, if Gapcoin ever achieved ASIC' level. The Coin supply would RAPIDLY RISE with the difficulty Rise.

From the website and announcement

Quote

* Block reward proportional to the current difficulty
* Block reward halving every 420000 (about 2 years)
* Cap: about 10 - 30 million GAP
* Difficulty adjusts every block and increases logarithmically (it will probably take years to get to 50)

Fair launch:
* Gapcoin was not designed to enrich the early adopters or the coin creators! Unlike Primecoin, the more people mine Gapcoin, the more coins per block will be produced. (Coin supply will increase logarithmically with the difficulty, this means it will grow in the beginning, but later, it won't change much.)

Now there are ~ 16 million.

It isn’t clear to me exactly how production increases. j0nn9 was doing what all devs, including ‘Satoshi Nakamoto’ did. He was pretending the coin was not issued to favor early adopters. ...snip...

Big difference between "production increase" vs noninflationary 'growth' overtime ...

Remember: The Gapcoin mining reward is the block reward plus the prime gap (network difficulty) and fees.

Simply view any Gapcoin blocks raw data on the block explorer ...

This 'feature' is incentive to mine (value) and to discover bigger prime gaps.

Hence,

* Cap: about 10 - 30 million GAP
* Difficulty adjusts every block and increases logarithmically (it will probably take years to get to 50)

The total number of Gapcoin produced depends on the network mining difficulty.

One day the prime gap merit reward per block will outweigh the block reward, it already outweighs the current transaction fees. Cheesy

Gapcoin is quite literally Bitcoin code plus the mathematical laws of nature.

PoW at its finest. The economic model itself is genius.

P.S. I sometimes wonder why folks don't question further why a Bitcoin 'old timer' like myself is so interested in at least maintaining this seemingly unloved project.

N+1

BayAreaCoins

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Owner at AltQuick.com

Quote from: ph4nt0m on September 16, 2020, 03:34:55 AM

Quote from: UsernameNumber7 on September 16, 2020, 02:26:55 AM

I remember another member while searching who is even more of a noted critical support of Gapcoin. He payed 1 Bitcoin to list Gapcoin onto Cryptopia.co.nz after Poloniex de-listed gapcoin, but kept Riecoin listed. After this failed assualt, as Riecoin distribution is bad Poloniex saw the "Math Coin" is no longer making money so they eventually de-listed Riecoin also. Primecoin was listed on Poloniex also I think? Huh

I don't know anything other than that which one got de-listed first Riecoin or Primecoin?

It was me actually who paid most of the fee to get Gapcoin on Cryptopia back in 2016 for about 0.2 BTC. It didn't seem much those days, but anyway.

O, I forgot to mention... the small fee for listing GAP on FreeBitcoins.... *evil laugh* lol jk jk Tongue

ph4nt0m

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Scavenger of Crypto Sorrow

Quote from: UsernameNumber7 on September 16, 2020, 02:26:55 AM

I remember another member while searching who is even more of a noted critical support of Gapcoin. He payed 1 Bitcoin to list Gapcoin onto Cryptopia.co.nz after Poloniex de-listed gapcoin, but kept Riecoin listed. After this failed assualt, as Riecoin distribution is bad Poloniex saw the "Math Coin" is no longer making money so they eventually de-listed Riecoin also. Primecoin was listed on Poloniex also I think? Huh

I don't know anything other than that which one got de-listed first Riecoin or Primecoin?

It was me actually who paid most of the fee to get Gapcoin on Cryptopia back in 2016 for about 0.2 BTC. It didn't seem much those days, but anyway.

UsernameNumber7

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https://www.fujitsu.com/global/products/computing/servers/supercomputer/

UsernameNumber7

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Activity: 256

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SinbadGutherie,

well Alexa bot that responds when spoken to?

Anyway, this is the place to work out issues. Everything open source needs to plow/till the internet soil before we can harvest the crop.

I remember another member while searching who is even more of a noted critical support of Gapcoin. He payed 1 Bitcoin to list Gapcoin onto Cryptopia.co.nz after Poloniex de-listed gapcoin, but kept Riecoin listed. After this failed assualt, as Riecoin distribution is bad Poloniex saw the "Math Coin" is no longer making money so they eventually de-listed Riecoin also. Primecoin was listed on Poloniex also I think? Huh

I don't know anything other than that which one got de-listed first Riecoin or Primecoin?

I want to say Primecoin was the last to be de-listed from Poloniex, but essentially they were the "Math/Science" crypto-exchange service. Shortly after Goldman Sachs bought out Poloniex.

But without someone stepping up to navigate the new listing onto Cryptopia.co.nz Gapcoin would be disappeared a long time ago.

The Network Hash rate has went to 100 million PPS after breaking the World Record/a.k.a. PrimeObession. Someone used a Amazon Cloud provider to take over the network.

Gapcoin has been around 8 Million PPS to 15 Million PPS for a long time. The current 20-30 Million PPS is healthy.

But no one will take much interest until this adopts ASIC's, and starts smashing records daily.

Incidentally, if Gapcoin ever achieved ASIC' level. The Coin supply would RAPIDLY RISE with the difficulty Rise.

So, it would have to be based on Merit if Gapcoin continues or not. As making money is not really an option here. But middle range scamming as we have had is a highly evolved tactics to squeeze every last ounce of Satoshi's spirit out of Gapcoin.

The Distributed Nature of the Blockchain is ideal for Computer Researchers to collaborate. However would they really want to forgo the use of their own 64-128 bit supercomputer PrimeGap Research to support a 32bit Crypto token?

Or maybe I am wrong and the only Research is Private Government Computers allowed to research PrimeGaps and not Research Centers? I don't know. It would be interesting to know if anyone works around this area.

UsernameNumber7

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Activity: 256

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Quote from: PrimeObsession on September 06, 2020, 01:13:06 AM

Quote from: gjhiggins on September 05, 2020, 07:41:43 AM

... and it's worth noting that the current record for the largest prime gap with best merit is still held by Gapcoin with a (n inferred, from "87-digit prime") shift of 30

For the record, two gaps with highest merits on GapCoin blockchain so far have been found with a shift of 32, but there is nothing magical or clandestine about 32 here!

http://gapcoin.org/primegaps-merits.php
https://chainz.cryptoid.info/gap/block.dws?646118.htm#raw
https://chainz.cryptoid.info/gap/block.dws?655591.htm#raw

Glad your still active here. Thanks for your contributions, which everyone likes to build upon.

Are you using Jonn9 latest custom miner which has the option to take the highest merit block into the Blockchain?

Thanks

DaCryptoRaccoon

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Activity: 1220

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OGRaccoon

SinbadGuthrie you really have no clue what your talking about your speculation without any proof of what you are saying is outrageous.

No one has hijacked and BitcoinFX, Bayareacoins and Higgins have worked very hard to keep this project going.

To be honest GAP is not about money it never has been so price is a secondary to the main purpose of the coin.

Do you have a clear understanding of the project a fundamental level I seriously doubt it by your previous postings.

Some things are way more important than "having a bag"

Have a think about what prime gaps are used for and you might gain a idea why this project could be groundbreaking.

Also it's a very small community there is no need for arguments if you want answers just ask like anyone else but stating things to be fact when you have no proof are unacceptable.

BitcoinFX

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https://youtu.be/DsAVx0u9Cw4 ... Dr. WHO < KLF

Quote from: BitcoinFX on September 08, 2020, 05:20:05 AM

Quote from: gjhiggins on September 07, 2020, 06:36:47 AM

Quote from: BitcoinFX on September 07, 2020, 05:28:58 AM

It would be really fantastic to see the upper bound limits removed someday, perhaps.

We simply need moar primespersec (network has power) i.e. more folks mining and/or better miners / ASICs etc.,

I don't believe that the upper bound on shift value is a blocking issue. Back in Dec 2017, YomKi articulated why:

Quote from: YomKi on December 25, 2017, 04:34:28 PM

There are a few different methods being used for current gap finding efforts:

Exhaustive search. This is looking for true record gaps, which means it started at 2 and went up from there. It's intensely computationally expensive. Tomás Oliveira e Silva ran a distributed project from 2005 to 2012 that got to 4e18 using years of work on hundreds of cores. Interestingly, the computational result was used in Helfgott's 2013 proof of the Odd Goldbach Conjecture. Recently the PGS team at mersenneforum have used a different method to extend this and after about 9 months have brought this to 10e18. The number of records per computational effort is very small, however these are true Minimal Gaps -- once found the record is permanent, as no earlier gaps of that size exist.

Gapcoin. For relatively small P1 values (84-347 digits), choose a random small range, sieve out small multiples, then run Fermat tests to find gaps. While each step is efficient and fast, it's rather inefficient at finding record gaps. It's basically rapidly throwing darts while blindfolded and being spun around -- the only way to get more darts in the target is to throw faster.

Primorial methods. Gaps are far more common at multiples of primorials without some small divisors, e.g. numbers of the form N * p# / k with k a small square free number. So if one looks at increasing values of N * 191#/30, for instance, using efficient methods for finding the previous and next primes around that point, one can find record gaps many times times faster than the gapcoin method. That is the method used by most other searchers and is what holds all but 3 of the highest merits (those three being from the exhaustive search). There are some minor variations -- Hans Rosenthal in 2017 did searches with a fixed large N and instead varied k. Using the dart analogy from before, this is throwing darts while aiming at the target. The darts are thrown a lot slower, but since they're all thrown in the direction of the target rather than randomly around the room, more of them result in high results.

I find it worth bearing in mind that the Gapcoin code is performing not one but two functions - the discovery of prime gaps with record merit is a designed side-effect of using prime gap search as as a proof-of-work mechanism for a cryptocurrency and that dual functioning requirement necessarily restricts the range of P1 values that can be selected. As I noted, the higher the shift, the larger the primes being sieved and so the lower the hash rate. More efficient primorial-based methods for finding gaps are an ill fit with the requirement to act as a proof-of-work mechanism. The Prime Gap Search group of the mersenne forum has an open source primorial-based gap search implementation but, given its functional focus is on searching gaps, it's not a good solution for a proof-of-work implementation.

The fact that the Gapcoin prime gap record search implementation isn't as efficient as a dedicated approach is an inevitable trade-off arising from its use as a proof-of-work mechanism. Baisically, it's a balance and emphasising one aspect of this dual-functioning comes at the expense of the other.

...snip...

Indeed. I'm just keen to see what additional Prime Gaps Gapcoin might spin-up as the hash rate hopefully increases.

No forks required in the mean tine of course (an intentional pun).

P.S. Looks good Graham. I will PM you back ASAP. I guess we are going to have to co-ordinate a lot more on this one from now on then.

@Graham

- https://github.com/gapcoin/Gapcoin-PoWCore

"Additional notes:

   start–index can be hash ∗ 2^shift + [0, 2^shift)
   max sieve size depends on start index, and is limited by (hash + 2^shift) - start–index.
   shift can theoretically be in range [14, 2^16) but nodes can choose to only accept shifts till a given amount (e.g. 512) "

Without objection from any of the original developers of Gapcoin I'm contacting Square, Inc. - Cryptocurrency Open Patent Alliance (COPA) ...

- https://open-patent.org/

With regards to the possibility of them helping the Gapcoin project to protect the original Gapcoin-PoWCore from any 'bad' actors.

Patentleft
- https://en.wikipedia.org/wiki/Patentleft

...

Another disclaimer is also being added to the https://gapcoin.club website ...

"Disclaimer (Warning): Gapcoin (GAP) is NOT associated with the pi network project."

Onward.

BayAreaCoins

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Owner at AltQuick.com

Quote from: BitcoinFX on September 09, 2020, 10:47:35 AM

Quote from: ?? on ??

...snip...

Fact remains, simple statistics, you could find 20 or 30 John Freys with stronger evidence of being Gap dev.

Edit to add
Not sure why you call me trolling. My intention is to improve gapcoin by encouraging real development. You all are focused entirely on marketing and glitz. Your website specifically is useful for the coin’s purpose, but its usefulness goes nowhere if the coin is not developed. Graham’s and BayAreaCoin’s efforts are entirely froth. Part of the coin mentality that anybody who knows tech stuff has a better view of the ecosystem. It’s like putting mechanics in charge of General Motors.

Well, off you go then to find a more likely candidate ... ? Roll Eyes

...

Hardly "focused entirely on marketing and glitz" ... more like keeping the network running, finding developers and exchanges and trying to garner some continued community interest in the project.

For example, the hosting for the block explorer website is about to expire, so I guess I will have to go and renew that.

- https://chainz.cryptoid.info/gap/

Roll Eyes

The dudes retarded lol.

I'm not even sure what he's talking about. I just listed GAP on FreeBitcoins... people are free to use it or not use it. We just offer an arena for people to come if they want to.

IMO the only thing "foth" here is someone with an opinion about everything, but contributes nothing to a project and hangs around to attempt to cause discord.

It would be far more bothersome if ShillGutherie was even remotely close to being correct, but they aren't, so in one ear and out the other!

BitcoinFX

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Quote from: ?? on ??

...snip...

Fact remains, simple statistics, you could find 20 or 30 John Freys with stronger evidence of being Gap dev.

Edit to add
Not sure why you call me trolling. My intention is to improve gapcoin by encouraging real development. You all are focused entirely on marketing and glitz. Your website specifically is useful for the coin’s purpose, but its usefulness goes nowhere if the coin is not developed. Graham’s and BayAreaCoin’s efforts are entirely froth. Part of the coin mentality that anybody who knows tech stuff has a better view of the ecosystem. It’s like putting mechanics in charge of General Motors.

Well, off you go then to find a more likely candidate ... ? Roll Eyes

...

Hardly "focused entirely on marketing and glitz" ... more like keeping the network running, finding developers and exchanges and trying to garner some continued community interest in the project.

For example, the hosting for the block explorer website is about to expire, so I guess I will have to go and renew that.

- https://chainz.cryptoid.info/gap/

Roll Eyes

BitcoinFX

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https://youtu.be/DsAVx0u9Cw4 ... Dr. WHO < KLF

Quote from: ?? on ??

...snip...

1 @SinbadGuthrie - Your 'evidence' in regards to the 'true' developer would be?

Not my business nor interest to find the specific John Frey who made Gapcoin. My only point was that the person you identified is pretty likely not the Gapcoin developer. If you want to find the original Gapcoin developer send an email to that email address. Or Google “John Frey” + bitcoin, or “John Frey” + prime gaps, or look for John Frey on LinkedIn.

...snip...

You don't think that is exactly what we already did and also how we came to the above most likely conclusion ?

Roll Eyes

...

Congratulations! You have only succeeded in trolling yourself.

...

*Satire*
Change The Formality
- https://youtu.be/fZnBgmyuUIE

"I really hate math class and everything about it
People annoying people for no reason
I make mistakes
I do regret
So give me a solution"

BitcoinFX

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Quote from: ?? on ??

Quote from: BitcoinFX on September 08, 2020, 01:02:49 PM

Rest assured that we aim to continue the project with or without the original developers (who seemingly remain AWOL).

No 'pump and dump' or 'bag unloading' here ... I think it's quite clear that I've been interested in this project from the get-go.

...

@SinbadGuthrie - Your 'evidence' in regards to the 'true' developer would be?

@SinbadGuthrie - The improved Prime Gap finding cryptocurrency is where?

...

Quote from: BitcoinFX on December 28, 2018, 12:36:41 PM

Who is/was j0nn9 ...

- https://bitcointalksearch.org/user/j0nn9-302146

- https://github.com/j0nn9

Mathematics Department Hosts Pie-themed Party to celebrate Pi Day
- https://web.archive.org/web/20181107214743/https://kealakai.byuh.edu/content/mathematics-department-hosts-pie-themed-party-celebrate-pi-day

"The BYU-Hawaii Mathematics Department gave out free pizza and pies to celebrate Pi Day and promote the Math Learning Center at 2:30pm on Monday, March 14 in the General Classroom Building.

John Frey, a senior from Florida studying physics education and math tutor at the center, said the Mathematics Department has a Pi Day party every year on March 14 since the digits for the number pi are 3.14. Dr. Russel Carlson, assistant professor of mathematics, said this year’s Pi Day is “Rounded Pi Day” because when the number is rounded to the fourth decimal place, it equals 3.1416.....

The Math Lab is located in GCB 177. For information on hours and resources, visit math.byuh.edu/mathlab."

...

Q: How does the Twin Paradox work?
- https://www.askamathematician.com/2010/09/q-how-does-the-twin-paradox-work/comment-page-1/

...

John Allen Frey ? 1991 - 2017 - Obituary

- https://www.legacy.com/obituaries/decaturdailydemocrat/obituary.aspx?pid=185690571

"John Allen Frey, 26, formerly of Decatur, passed away May 12, 2017, in California, Md.....

- https://www.gofundme.com/funeral-expenses-for-john-frey

...

On May 12, 2017 John Allen Frey left this life.

John's passing was unexpected. We, his family, are heart broken. We're trying to process and grieve the loss of our son, brother, nephew, cousin, grandson, friend. ..."

...

My sincere condolences - BitcoinFX

...

I assert that John Allen Frey was the original developer of Gapcoin and hence the community here can now better understand the situation. It would appear that John's family members (or professors / colleagues?) might have maintained elements of the project in legacy to John.

Once I have established that the above is indeed correct, as the Gapcoin community, we can work to continue his great legacy.

...

Quote from: gjhiggins on December 02, 2019, 02:28:29 PM

...snip...

But when I looked at the actual difference, it was offering to update the reference from:

Code:

ID : ca5e863b1ff6c0a9655fadb951f1d9653ba24ef1

Author : Jonny Frey
07/01/2015 22:43

Message:
1024 max shift should work for all

...snip...

Your twin paradox page looks interesting and I bookmarked it.

The rest of your post is silliness.

I’m not interested specifically in who started Gapcoin, my point is just that you are identifying a random dead person as Gapcoin creator for whatever reason, probably to add some spice to the Gapcoin image ‘Young math prodigy creates gapcoin then dies’. Eventually you could hire some professional fiction writers to fluff it up further. Was he also Satoshi Nakamoto? We are researching that, check back later.

...snip...

Hardly 'silliness'. Roll Eyes

John Allen Frey/j0nn9 is/was not Satoshi Nakamoto. Nowhere have I asserted that he was.

Perhaps you would care to actually answer the questions I asked ?

YuSoDum

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Activity: 164

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I really love the ignore button

Why all the sudden hate? ANYBODY who has been involved or following this coin knows the facts..Who started/has supported...
I really dont understand the hostility. If you dont like the coin move on, if you do like the coin - stay and positively contribute.

Pretty easy concept to me...

BitcoinFX

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Activity: 2646

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https://youtu.be/DsAVx0u9Cw4 ... Dr. WHO < KLF

ph4nt0m

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Activity: 591

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Scavenger of Crypto Sorrow

Come on people, why do you even bother to argue with a newbie account which the only activity is trolling Gapcoin and Namecoin? Your work is much appreciated. Keep it up.

BitcoinFX

legendary

Activity: 2646

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https://youtu.be/DsAVx0u9Cw4 ... Dr. WHO < KLF

Quote from: ?? on ??

...snip...

I’m happy to be ignored by you.

You pick a random obituary and try to add mystique to gapcoin by pushing the notion that it was created by a gifted mathematician who died at a young age. Do you have any proof that was the developer of gapcoin? If not, what sort of other shoddy things are being invented under the gapcoin logo?

~

Edit to add

Gapcoin needs developers, not a pump crew.

You keep pretending to speak on behalf of everybody involved in gapcoin.

I initially came back to this thread to suggest somebody create an exchange which could be used to rapidly arbitrage or trade science and math coins. I offered some pretty good domains free to kickstart that.

You then chimed in trying to discourage anybody from such a project because of a list of excuses you dreamed up. You do seem to know quite a bit about coding, more than me at least, I don’t know anything about it. But other than that you are a moron. No offense intended.

@SinbadGuthrie - Strong circumstantial evidence suggests that said John Allen Frey 1991 - 2017 was the original developer of Gapcoin. This includes the email reference which can be found in Gapcoin's original PoW code and information I've previously presented in this topic.

If you have evidence to the contrary as to who the original Gapcoin developer(s) is/was then please kindly enlighten us all.

No one else from the original development (team?) has been forthcoming do-date, despite open requests for information in this thread.

...

Gapcoin is obviously not a 'pump and dump' project.

Graham is doing a sterling job to continue with development on a mostly single handed basis. Anyone is more than welcome to continue with submissions and commits to the community repository, currently being headed by Graham.

Whilst a math and science crypto exchange is a reasonable concept, anyone who might develop one is going to do so on a domain name they would
acquire directly from a reputable domain names register, one would imagine.

Graham is a more than competent coder and developer with years of experience. Your words are simply meaningless.

gjhiggins

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Activity: 2254

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Quote from: gjhiggins on September 07, 2020, 06:36:47 AM

You see, 0.16.3 is a bit old as a target for an upgrade, 0.20 would be better, 0.19.1 a minimum. I'm working on it.

I failed to provide the supportive reasoning for this statement. 0.19/0.20 more desirable than 0.16 i) because of the improvements in tx reliability brought by segregated witness txs and ii) because of known CVEs: https://www.cvedetails.com/vulnerability-list.php?vendor_id=12094.

Cheers

Graham

BitcoinFX

legendary

Activity: 2646

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https://youtu.be/DsAVx0u9Cw4 ... Dr. WHO < KLF

Quote from: gjhiggins on September 07, 2020, 06:36:47 AM

Quote from: BitcoinFX on September 07, 2020, 05:28:58 AM

It would be really fantastic to see the upper bound limits removed someday, perhaps.

We simply need moar primespersec (network has power) i.e. more folks mining and/or better miners / ASICs etc.,

I don't believe that the upper bound on shift value is a blocking issue. Back in Dec 2017, YomKi articulated why:

Quote from: YomKi on December 25, 2017, 04:34:28 PM

There are a few different methods being used for current gap finding efforts:

Exhaustive search. This is looking for true record gaps, which means it started at 2 and went up from there. It's intensely computationally expensive. Tomás Oliveira e Silva ran a distributed project from 2005 to 2012 that got to 4e18 using years of work on hundreds of cores. Interestingly, the computational result was used in Helfgott's 2013 proof of the Odd Goldbach Conjecture. Recently the PGS team at mersenneforum have used a different method to extend this and after about 9 months have brought this to 10e18. The number of records per computational effort is very small, however these are true Minimal Gaps -- once found the record is permanent, as no earlier gaps of that size exist.

Gapcoin. For relatively small P1 values (84-347 digits), choose a random small range, sieve out small multiples, then run Fermat tests to find gaps. While each step is efficient and fast, it's rather inefficient at finding record gaps. It's basically rapidly throwing darts while blindfolded and being spun around -- the only way to get more darts in the target is to throw faster.

Primorial methods. Gaps are far more common at multiples of primorials without some small divisors, e.g. numbers of the form N * p# / k with k a small square free number. So if one looks at increasing values of N * 191#/30, for instance, using efficient methods for finding the previous and next primes around that point, one can find record gaps many times times faster than the gapcoin method. That is the method used by most other searchers and is what holds all but 3 of the highest merits (those three being from the exhaustive search). There are some minor variations -- Hans Rosenthal in 2017 did searches with a fixed large N and instead varied k. Using the dart analogy from before, this is throwing darts while aiming at the target. The darts are thrown a lot slower, but since they're all thrown in the direction of the target rather than randomly around the room, more of them result in high results.

I find it worth bearing in mind that the Gapcoin code is performing not one but two functions - the discovery of prime gaps with record merit is a designed side-effect of using prime gap search as as a proof-of-work mechanism for a cryptocurrency and that dual functioning requirement necessarily restricts the range of P1 values that can be selected. As I noted, the higher the shift, the larger the primes being sieved and so the lower the hash rate. More efficient primorial-based methods for finding gaps are an ill fit with the requirement to act as a proof-of-work mechanism. The Prime Gap Search group of the mersenne forum has an open source primorial-based gap search implementation but, given its functional focus is on searching gaps, it's not a good solution for a proof-of-work implementation.

The fact that the Gapcoin prime gap record search implementation isn't as efficient as a dedicated approach is an inevitable trade-off arising from its use as a proof-of-work mechanism. Baisically, it's a balance and emphasising one aspect of this dual-functioning comes at the expense of the other.

...snip...

Indeed. I'm just keen to see what additional Prime Gaps Gapcoin might spin-up as the hash rate hopefully increases.

No forks required in the mean tine of course (an intentional pun).

P.S. Looks good Graham. I will PM you back ASAP. I guess we are going to have to co-ordinate a lot more on this one from now on then.

gjhiggins

legendary

Activity: 2254

Merit: 1290

Quote from: ?? on ??

There are lots of Johnny Freys, including several who are much more likely to have created Gapcoin.

This looks like a last ditch effort to pump Gapcoin before new prime gap seeking coins are issued, and Gapcoin bags become worthless.

Your handwaviness involves a lot of work though, keep it up.

A typical gratuitously offensive post from you as usual. And as usual, you can't provide any support for your accusations, you're just pulling them out of your arse - which is why no-one cares what you think. So why are you even making the effort? Take yourself off elsewhere, you've made yourself unwelcome in this thread and as from now, I've set you on ignore.

Cheers

Graham

Topic: [ANN][GAP] Gapcoin - Prime Gap Search - New Math Algo - CPU / GPU - Zero Premine - page 17. (Read 287695 times)