[XPM] Primecoin Record Books

[vingaard]

Ok...

Is this what I have to send?

Code:

signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=

I would like to claim this record as well.  As you can clearly see, I have signed the message stating my ownership.  I... uh.... just logged into my other account, or something. 

In all seriousness, though, congrats on the find!

jajajaja... so... are you whom I almost gift "the record"?... jajajaja...

Really... my mother said me when I was child... "you have to read everything twice before signing"... but... as you can see I never do what my mother say (so I am a total foolish  )

Anyway... A pleasure to meet you

[1714910776]

1714910776

[1714910776]

1714910776

[1714910776]

1714910776

[Lauda]

Ok...

Is this what I have to send?

Code:

signmessage ANi7JgdfT2HSdTxB8T8sAnVwfDuRFxJeRg "Koooooj owns this address"

H1mJljsMaxVEXbfbnuNACzgVekgqYlEqJr2pljzJU+YfwnaKi35l4Q1+/2bh2iPNND1rA3ID3Jfkz+L5M0oiB70=

I would like to claim this record as well.  As you can clearly see, I have signed the message stating my ownership.  I... uh.... just logged into my other account, or something.  

In all seriousness, though, congrats on the find!

Well sign it something like "[real name] - [username] on btctalk".
So people can assign a real person to the record and we know who you are on here  
Just suggesting.

[rabit]

according to the trolls in the cryptsy chatbox, primechains are only pseudo mathematics and have no use in the real world, so don't get your hopes up i guess. me i think that prime numbers serve some type of purpose. what it is? i have no idea

Well you'd expect that coming from people who support other coins, as always.. when they don't understand or aren't invested in something they bash and troll it.
Anyways they are usefull for some mathematicians, I belive only a few use such huge primes, that's what I've found out a while ago..

The CC chains have even "real" world use as you can create "Auto-Recoverable and Auto-Certifiable Cryptosystems" with them. This are public key infrastructures with the capability of recovering the private key by authorities cooperating with the certification authority. In other words crypto-system which LE agencies are able to decrypt but not some other attacker. I´m sure every state would love if people would start using such systems
From a more mathematical stand point this data has also value as there are still many open questions in this area like e.g. if there are infinitely many chains of a given length and the distribution of such chains in the set of all primes. This data could be used for verifying conjectures in this area.

By the way Sunny, how do you have choosen the difficulty algorithm, did you used the Hardy–Littlewood conjecture?

[Zalfrin]

These signed messages don't get sent out to the network... All you are doing is proving that you own the address. The message contents are irrelevant, it's just convenient to include your username in it. So no need to be concerned about your 1st and 2nd signed messages.

[Clark]

If I'm not mistaken, Block 28769 contains the new world record for BiTwin of four links (10 primes / TWN0a), 100 digits.

Also, the BiTwin primes listed on the records contain only even numbers of primes, yet our mining uncovers chains like TWN07, TWN09, etc. How are these defined? Do they count toward official records?

[Clark]

I have updated my records search script to include BiTwin chains. Please note that initial runs will show lots of 'world records' for TWN07. See my previous post for resolution.

Script output is a lot cleaner when printing the records:

Code:

=== Current Records ===

       1CC    2CC    TWN

 06    633    475    399
 07    356    251   *268
 08    186    224    177
 09    185   *158   *121
 10   *100    109   *100
 11     50     63     --
 12     42     62     47
 13     39     33     --
 14     25     33     29
 15     24     32     --
 16     23     28     24
 17     22     25     --
 18     --     --     24
 19     --     --     --

*Found by Primecoin network

Code:

from jsonrpc import ServiceProxy

import json

USER = '<user>'
PASS = '<pass>'
PORT = 9912


fname = 'worldrecords.txt'

# Searching for new world records

def main():
	ip = '127.0.0.1'
	addy = 'http://%s:%s@%s:%i' % (USER,PASS,ip,PORT)
	p = ServiceProxy(addy)
	
	# http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
	# http://www.primenumbers.net/Henri/fr-us/BiTwinRec.htm

	records = {
		# Length 6
		'1CC06':{
			'digits':633,
			'block':None
		},
		'2CC06':{
			'digits':475,
			'block':None
		},
		# BiTwin chain of 6 primes, 2 links
		'TWN06':{
			'digits':399,
			'block':None
		},
		# Length 7
		'1CC07':{
			'digits':356,
			'block':None
		},
		'2CC07':{
			'digits':251,
			'block':None
		},
		# Length 8
		'1CC08':{
			'digits':186,
			'block':None
		},
		'2CC08':{
			'digits':224,
			'block':None
		},
		# BiTwin chain of 8 primes, 3 links
		'TWN08':{
			'digits':177,
			'block':None
		},
		# Length 9
		'1CC09':{
			'digits':185,
			'block':None
		},
		'2CC09':{
			'digits':111,
			'block':None
		},
		# Length 10
		'1CC0a':{
			'digits':99,
			'block':None
		},
		'2CC0a':{
			'digits':109,
			'block':None
		},
		# BiTwin chain of 10 primes, 4 links
		'TWN0a':{
			'digits':92,
			'block':None
		},
		# Length 11
		'1CC0b':{
			'digits':50,
			'block':None
		},
		'2CC0b':{
			'digits':63,
			'block':None
		},
		# Length 12
		'1CC0c':{
			'digits':42,
			'block':None
		},
		'2CC0c':{
			'digits':62,
			'block':None
		},
		# BiTwin chain of 12 primes, 5 links
		'TWN0c':{
			'digits':47,
			'block':None
		},
		# Length 13
		'1CC0d':{
			'digits':39,
			'block':None
		},
		'2CC0d':{
			'digits':33,
			'block':None
		},
		# Length 14
		'1CC0e':{
			'digits':25,
			'block':None
		},
		'2CC0e':{
			'digits':33,
			'block':None
		},
		# BiTwin chain of 14 primes, 6 links
		'TWN0e':{
			'digits':29,
			'block':None
		},
		# Length 15
		'1CC0f':{
			'digits':24,
			'block':None
		},
		'2CC0f':{
			'digits':32,
			'block':None
		},
		# Length 16
		'1CC10':{
			'digits':23,
			'block':None
		},
		'2CC10':{
			'digits':28,
			'block':None
		},
		# BiTwin chain of 16 primes, 7 links
		'TWN10':{
			'digits':24,
			'block':None
		},
		# Length 17
		'1CC11':{
			'digits':22,
			'block':None
		},
		'2CC11':{
			'digits':25,
			'block':None
		},
		# Length 18
		'1CC12':{
			'digits':None,
			'block':None
		},
		'2CC12':{
			'digits':None,
			'block':None
		},
		# BiTwin chain of 18 primes, 8 links
		'TWN12':{
			'digits':24,
			'block':None
		}
	}

	data = {}

	try:
		with open(fname, 'r') as f:
			data = json.load(f)
	except:
		pass

	height = 1

	if 'height' in data:
		height = data['height']

	if 'records' in data:
		records = data['records']

	blockHash = p.getblockhash(height)
	block = p.getblock(blockHash)

	while 'nextblockhash' in block:
		chain = block['primechain'].split('.')[0]
		chainlength = 0
		try:
			chainlength = int(chain[3:5],16)
		except:
			print('Error with chain: %s, Block %i' % (chain,block['height']))
		origin = block['primeorigin']
		digits = len(origin)
		height = block['height']

		if chain in records:
			if digits > records[chain]['digits']:
				print('New World Record!')
				print(' Block %i, Chain %s (%i primes), %i digits' %
					(height, chain, chainlength, digits))
				if records[chain]['block'] is not None:
					print(' *Previous record held by Primecoin, Block %i' % 
						(records[chain]['block'],))
				print(' Previous record: %i digits' % (records[chain]['digits']))
				records[chain]['digits'] = digits
				records[chain]['block'] = height
		else:
			print('New Chain Type: %s, Block %i, %i digits' % 
				(chain, height, digits))
			records[chain] = {
				'digits':digits,
				'block': height
			}

		block = p.getblock(block['nextblockhash'])

	print('End of block chain reached.')

	data = {
		'records': records,
		'height': block['height']
	}

	with open(fname, 'w') as f:
		json.dump(data, f)

	print('\n\n=== Current Records ===\n')
	types = ['1CC', '2CC', 'TWN']
	s = '   '
	for t in types:
		s = '%s%7s' % (s, t)
	print('%s\n' % (s,))
	for i in range(6,20):
		s = ' %.2i' % (i,)
		for t in types:
			chain = '%s%s' % (t,hex(i)[2:].zfill(2))
			if chain not in records or records[chain]['digits'] is None:
				s = '%s%7s' % (s,'--')
			else:
				if records[chain]['block'] is not None:
					s = '%s%7s' % (s, ('*%i' % (records[chain]['digits'])).rjust(7))
				else:
					s = '%s%7i' % (s, records[chain]['digits'])
		print(s)
	print('\n*Found by Primecoin network\n')

if __name__ == '__main__':
	main()

[Koooooj]

If I'm not mistaken, Block 28769 contains the new world record for BiTwin of four links (10 primes / TWN0a), 100 digits.

Also, the BiTwin primes listed on the records contain only even numbers of primes, yet our mining uncovers chains like TWN07, TWN09, etc. How are these defined? Do they count toward official records?

Odd numbered twin prime chains are defined as having only half of the final pair.  I doubt the record books would care about the final pair, since it's a prime and a composite, so TWN07 is really a TWN06 and TWN09 is just TWN08.  The odd numbered chains work just fine as a proof of work, though, and seem to behave nicely as far as difficulty is concerned.

[bonez565]

Have there been any other record holding blocks found with the new jump in difficulty?

[gateway]

How do you go about figuring out if its a new record? Is there a list that someone compares against known primes?

[rethaw]

How do you go about figuring out if its a new record? Is there a list that someone compares against known primes?

In the OP Sunny provides a few places where they are listed. Would love to see someone make a nicer prime chain records site.

[Clark]

Have there been any other record holding blocks found with the new jump in difficulty?

1CC10
Block 36946: 101 digits. Surpassed by Block 39211: 107 digits. Surpassed by Block 42915: 113 digits.

2CC11
Block 38425: 91 digits

[Lauda]

Have there been any other record holding blocks found with the new jump in difficulty?

1CC10
Block 36946: 101 digits. Surpassed by Block 39211: 107 digits. Surpassed by Block 42915: 113 digits.

2CC11
Block 38425: 91 digits

Someone needs to definently keep track of these and try to get the names of people who got them. I mean having your name on a world record is something isn't it? 

[torbank]

New World Record!
 Block 50357, Chain 1CC0b, 93 digits (previously 50 digits)

[BitcoinFX]

New World Record!
 Block 50357, Chain 1CC0b, 93 digits (previously 50 digits)

THIS ^^

I just posted this idea in another thread, but I'm posting it again to reach more XPM miners.

I've started 'banking' single mined blocks in encrypted wallets with each block I find by making a back-up and creating a new wallet each time (where possible).

I figured that if / when someone happens to find a block with an exeptionally long chain, then at least it will be a mined block on a single wallet.

This could give the block a higher value in the future as the coins will also be unspent.

Primecoin is a Scientific Computing Cryptocurrency afterall.

[azwccc]

No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

[BitcoinFX]

No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

For sure, which is very sad indeed. Like making an important scientific discovery and deleting the results.

[vinne81]

No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

For sure, which is very sad indeed. Like making an important scientific discovery and deleting the results.

I don't think those guys with 100 or 200 VPS were mining to get some sort of prime record I don't think they will go check their addresses, even if they still could

[tyrion70]

No one claims any of the records? I think it is quite possible some of the privkey have been destroyed with intances.

For sure, which is very sad indeed. Like making an important scientific discovery and deleting the results.

I don't think those guys with 100 or 200 VPS were mining to get some sort of prime record I don't think they will go check their addresses, even if they still could

mined with more than that and checked every address so far.. but no records unfortunately

[defaced]

coooool, so do you get the money prize?

[Petr1fied]

coooool, so do you get the money prize?

The real cash awards are for finding Mersenne primes (the longest of which is over 17 million digits long). Primecoin is not searching for these, if it were then blocks would likely be months or even years apart. Primecoin is dealing with much smaller digit numbers to keep transactions moving.