Sunny, your thoughts?
Topic: [XPM] Primecoin Record Books (Read 34609 times)
This is one of the coolest coins out there yet no one really seems to be leading it's marketing anymore. Is it still active? It still trades so I wonder if anyone is mining it, and where are the best optimized miners for it? Seems like some graduate school professor could take this thing over and make it last decades.
How often does XPM find a new prime number? Does it get longer to find each new prime number?
A new prime chain is found with each block (~1minute). Within a prime chain, each number is prime and is larger than the one before. Currently we're looking for chains with at least 10 consecutive primes. The first prime in the chain is guaranteed to be at least 256bits long - but could actually be much much bigger depending on the primorial and multiplier chosen. Miners don't tend to look for larger primes as the maths involved takes longer - hence mining is slower.
This is a very intellectually challenging coin to write a good miner for - there are several conflicting aspects that directly influence mining speed and pretty much every design decision becomes a trade off
For example:
1. Mining with a large primorial increases the base prime probability at the cost of fundamentally larger numbers that are slower to verify and work with.
2. Mining with lots of primes increases the sieve accuracy and reduces the number of false positives that then get passed through to chain length determination, but using too many primes above a certain threshold removes so few candidates that its actually faster to deal with false positives!
How often does XPM find a new prime number? Does it get longer to find each new prime number?
You can use listtopprimes to find the top primes for each form which were found by Primecoin, e.g "listtopprimes 14 1CC" to get the largest Cunningham chains of first kind of length 14 (abbreviated as CC14f).
As I've just seen today, Primecoin broke the record for CC14f just two weeks ago. This is the first world record for Primecoin since more than 2 years.
2017-01-25: CC14f with 96 digits: 814204479584287721291003734102406590210007590854164398588152723240001514789312*47#-1
Update of my Cunningham chain record list will follow shortly.
Regards,
Dirk
As I've just seen today, Primecoin broke the record for CC14f just two weeks ago. This is the first world record for Primecoin since more than 2 years.
2017-01-25: CC14f with 96 digits: 814204479584287721291003734102406590210007590854164398588152723240001514789312*47#-1
Update of my Cunningham chain record list will follow shortly.
Regards,
Dirk
Did this coin die? Why? I feel like it's a hidden gem if someone decides to market it especially in mathematics departments around the world.
You can use listtopprimes to find the top primes for each form which were found by Primecoin, e.g "listtopprimes 14 1CC" to get the largest Cunningham chains of first kind of length 14 (abbreviated as CC14f).
As I've just seen today, Primecoin broke the record for CC14f just two weeks ago. This is the first world record for Primecoin since more than 2 years.
2017-01-25: CC14f with 96 digits: 814204479584287721291003734102406590210007590854164398588152723240001514789312*47#-1
Update of my Cunningham chain record list will follow shortly.
Regards,
Dirk
As I've just seen today, Primecoin broke the record for CC14f just two weeks ago. This is the first world record for Primecoin since more than 2 years.
2017-01-25: CC14f with 96 digits: 814204479584287721291003734102406590210007590854164398588152723240001514789312*47#-1
Update of my Cunningham chain record list will follow shortly.
Regards,
Dirk
Anyone know how to find out if there have been any new prime number found lately? Is there a way to check from the wallet?
I just can't believe nobody was inspired by the fact that somebody once made a coin that was useful to society. They probably were, just not this year.
Now _this_ is a coin that actually _does_ something!
Out of the thousands of coins that have come since, I doubt any have had an equal impact on the world of scientific research. Of course, 999 of those devs were just looking to get rich by lying to the unsuspecting. Now we know better.
Out of the thousands of coins that have come since, I doubt any have had an equal impact on the world of scientific research. Of course, 999 of those devs were just looking to get rich by lying to the unsuspecting. Now we know better.
CDN (Canadian Digital Notes) has nothing to do with prime numbers.
See http://galaxies.mygamesonline.org/digitalisassets.html
It has been around for years, since back when GRoUPcoin and DeVCoin were new.
-MarkM-
See http://galaxies.mygamesonline.org/digitalisassets.html
It has been around for years, since back when GRoUPcoin and DeVCoin were new.
-MarkM-
In this context, CDN refers to CDNcoin. An official currency symbol is not the only thing that coin is missing.
CDN (Canadian Digital Notes) has nothing to do with prime numbers.
See http://galaxies.mygamesonline.org/digitalisassets.html
It has been around for years, since back when GRoUPcoin and DeVCoin were new.
-MarkM-
See http://galaxies.mygamesonline.org/digitalisassets.html
It has been around for years, since back when GRoUPcoin and DeVCoin were new.
-MarkM-
New record for largest bi-twin chain of length 12: http://primecoin.21stcenturymoneytalk.org/index.php?block_height=476538
There are now five Cunningham-based coins.
Code:
XPM DTC BEK CDN pNut
13 1CC 107 -- -- -- --
13 2CC 94 -- -- -- --
13 TWN 105 -- -- -- --
12 1CC 110 98 -- -- --
12 2CC 109 92 -- -- --
12 TWN 107 99 -- -- --
11 1CC 140 103 96 100 --
11 2CC 127 102 -- 95 --
11 TWN 123 106 -- 100 --
10 1CC 146 109 101 109 --
10 2CC 137 108 101 105 --
10 TWN 138 112 100 105 --
9 1CC 151 115 107 108 96
9 2CC 167 118 104 108 96
9 TWN 163 114 105 108 96
8 1CC 167 103 109 106 98
8 2CC 183 106 108 112 107
8 TWN 172 110 108 106 101
7 1CC 244 100 104 103 99
7 2CC 208 103 103 112 103
7 TWN 268 99 105 98 108
6 1CC -- -- 89 99 103
6 2CC 134 90 91 96 110
6 TWN 97 84 89 96 105
5 1CC -- -- -- -- 108
5 2CC -- -- -- -- 112
5 TWN -- -- -- -- 108
4 1CC -- -- -- -- --
4 2CC -- -- -- -- --
4 TWN -- -- -- -- 92
diff 10.41 9.75 8.91 8.98 7.68
blocks 388791 175108 109084 97641 38482
http://primecoin.21stcenturymoneytalk.org/index.php?block_height=383918
and a new TWN chain length 12 with 107 digits (one digit more).
and a new TWN chain length 12 with 107 digits (one digit more).
I updated the Cunningham chain record list yesterday:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
Congrats for the first Cunningham chain of length 13 with more than 100 digits!
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
Congrats for the first Cunningham chain of length 13 with more than 100 digits!
Primecoin has found a new record 2CC of length 13 (block 375981). Ironically, it has exactly as many digits as the previous record (block 159217). I have updated the table to reflect the progress of the coins.
Code:
XPM DTC BEK CDN
6 1CC -- -- 89 99
6 2CC 134 90 91 96
6 TWN 97 84 89 96
7 1CC 244 100 104 103
7 2CC 208 103 103 112
7 TWN 268 99 105 98
8 1CC 167 103 109 106
8 2CC 183 106 106 112
8 TWN 172 110 108 106
9 1CC 151 115 107 108
9 2CC 167 118 104 108
9 TWN 163 114 103 108
10 1CC 146 109 101 109
10 2CC 137 108 101 105
10 TWN 138 112 100 105
11 1CC 140 103 96 100
11 2CC 127 102 -- 95
11 TWN 123 106 -- 100
12 1CC 110 98 -- --
12 2CC 109 92 -- --
12 TWN 106 99 -- --
13 1CC 107 -- -- --
13 2CC 94 -- -- --
13 TWN 105 -- -- --
Thank you very much
Can we place here the records from Datacoin blockchain?
I think that would be reasonable. Below is a comparison between all known Cunningham coins.
Code:
XPM DTC BEK CDN
6 1CC -- -- 89 99
6 2CC 134 90 91 96
6 TWN 97 84 89 96
7 1CC 244 100 104 103
7 2CC 208 103 103 112
7 TWN 268 99 105 98
8 1CC 167 103 109 106
8 2CC 183 106 106 112
8 TWN 172 110 108 106
9 1CC 151 115 107 108
9 2CC 167 115 102 108
9 TWN 163 114 103 108
10 1CC 146 109 101 109
10 2CC 137 108 101 105
10 TWN 138 112 100 105
11 1CC 140 103 96 100
11 2CC 127 102 -- 95
11 TWN 123 106 -- 100
12 1CC 110 95 -- --
12 2CC 109 92 -- --
12 TWN 106 99 -- --
13 1CC 107 -- -- --
13 2CC 94 -- -- --
13 TWN 105 -- -- --
Here is a comparison with Primecoin:
13 1CC: -
13 2CC: 94
13 TWN: -
12 1CC: 110, 97
12 2CC: 109, 103, 101
12 TWN: 106, 105, 103
11 1CC: 140, 116, 113
11 2CC: 116, 111, 110
11 TWN: 123, 114, 112
10 1CC: 146, 138, 132
10 2CC: 137, 130, 127
10 TWN: 138, 126, 119
9 1CC: 151, 125, 125
9 2CC: 167, 158, 131
9 TWN: 163, 138, 129
8 1CC: 167, 154, 136
8 2CC: 183, 153, 140
8 TWN: 172, 160, 156
7 1CC: 244, 188, 162
7 2CC: 208, 201, 193
7 TWN: 268, 240, 165
6 1CC: -
6 2CC: 134, 113, 97
6 TWN: 97, 91
13 1CC: -
13 2CC: 94
13 TWN: -
12 1CC: 110, 97
12 2CC: 109, 103, 101
12 TWN: 106, 105, 103
11 1CC: 140, 116, 113
11 2CC: 116, 111, 110
11 TWN: 123, 114, 112
10 1CC: 146, 138, 132
10 2CC: 137, 130, 127
10 TWN: 138, 126, 119
9 1CC: 151, 125, 125
9 2CC: 167, 158, 131
9 TWN: 163, 138, 129
8 1CC: 167, 154, 136
8 2CC: 183, 153, 140
8 TWN: 172, 160, 156
7 1CC: 244, 188, 162
7 2CC: 208, 201, 193
7 TWN: 268, 240, 165
6 1CC: -
6 2CC: 134, 113, 97
6 TWN: 97, 91
can you please explain me what i am reading?
I am not familiar with those mathematics/numbers/statistics. Although as a physics guy i am intrigued to research more about primecoin.The first number is the length of the chain; it describes how many primes the chain consists of. It is conjectured that there are infinitely many chains of any length. The second symbol denotes the type of chain. 1CC and 2CC are Cunningham chains of different kinds, while TWN is a bi-twin chain. The following list of numbers tells how many digits the largest starting primes have.
All 13-ch have been conquered!
A 1CC length 13 with 107 digits http://primecoin.21stcenturymoneytalk.org/index.php?block_height=368051
A 1CC length 13 with 107 digits http://primecoin.21stcenturymoneytalk.org/index.php?block_height=368051
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