What is done with the found primes?

I’m more interested in having the found primes than the money. (Don’t get me wrong, money is nice too.) Are these prime numbers publicly available? If so where?

There is a ‘listprimerecords’ command since v0.1.2. It can be accessed from Qt debug window/console. There are two modes of this command, one lists records of any prime chain types, one lists records of a specific prime chain type.

To list records of length 11 prime chains of any type in Primecoin:
listprimerecords 11
To list records of length 10 prime chains of specific type in Primecoin:
listprimerecords 10 1CC
listprimerecords 10 2CC
listprimerecords 10 TWN

In the output of listprimerecords, it shows the date, block height, digits, origin and its primorial form of all the record prime chains in Primecoin block chain. There is also an ‘ismine’ field for each record, it would show value ‘true’ if the miner key belongs to your wallet.

Refer to world records for the current records and milestones achieved by Primecoin network.

The world records for simultaneous primes and prime chains are maintained at

Largest known simultaneous primes maintained by Jens Kruse Andersen
Cunningham chain records maintained by Dirk Augustin
Bi-twin chain record maintained by Henri Lifchitz

and there I was thinking Sunny just collected them all up and baked himself a mathematical Pi(e) out of it :stuck_out_tongue:

Fuzzybear

[quote=“sahkan, post:2, topic:1659”]There is a ‘listprimerecords’ command since v0.1.2. It can be accessed from Qt debug window/console. There are two modes of this command, one lists records of any prime chain types, one lists records of a specific prime chain type.

To list records of length 11 prime chains of any type in Primecoin:
listprimerecords 11
To list records of length 10 prime chains of specific type in Primecoin:
listprimerecords 10 1CC
listprimerecords 10 2CC
listprimerecords 10 TWN

In the output of listprimerecords, it shows the date, block height, digits, origin and its primorial form of all the record prime chains in Primecoin block chain. There is also an ‘ismine’ field for each record, it would show value ‘true’ if the miner key belongs to your wallet.

Refer to world records for the current records and milestones achieved by Primecoin network.

The world records for simultaneous primes and prime chains are maintained at

Largest known simultaneous primes maintained by Jens Kruse Andersen
Cunningham chain records maintained by Dirk Augustin
Bi-twin chain record maintained by Henri Lifchitz[/quote]

Thanks for the detailed reply! Forgive me for being stupid but I don’t know how to convert what you’ve said here to an actual number. (I guess I don’t understand block chains.) Can you help me fill in my knowledge here?

Have you installed the primecoin wallet? If yes you can go to HELP, DEBUG WINDOW, CONSOLE TAB and type in:

listprimerecords 11CC

You get all records, here is one:

{
“time” : “2013-07-16 00:54:53 UTC”,
“epoch” : 1373936093,
“height” : 50357,
“ismine” : false,
“primedigit” : 93,
“primechain” : “1CC0b.b9afe5”,
“primeorigin” : “782085581864223981723860606585689982970244857289578450276592479114601803884565549647477263050”,
“primorialform” : “105391885235180642837566579719340498344767363492888467130937411507174806414446905*37#”
},

Your primorialform is the found prime, the primeorigin is what Sunny calls “prime center” as in two 1CC primes 5,7 … 6 would be the primeorigin. The found primes are mostly over 100 digits. Some of the records can be found here:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

[quote=“sahkan, post:5, topic:1659”]Have you installed the primecoin wallet? If yes you can go to HELP, DEBUG WINDOW, CONSOLE TAB and type in:

listprimerecords 11CC

You get all records, here is one:

{
“time” : “2013-07-16 00:54:53 UTC”,
“epoch” : 1373936093,
“height” : 50357,
“ismine” : false,
“primedigit” : 93,
“primechain” : “1CC0b.b9afe5”,
“primeorigin” : “782085581864223981723860606585689982970244857289578450276592479114601803884565549647477263050”,
“primorialform” : “105391885235180642837566579719340498344767363492888467130937411507174806414446905*37#”
},

Your primorialform is the found prime, the primeorigin is what Sunny calls “prime center” as in two 1CC primes 5,7 … 6 would be the primeorigin. The found primes are mostly over 100 digits. Some of the records can be found here:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm[/quote]

And I’m assuming 37# (in your example) is the primorial(37)? (i.e. the first 37 primes multiplied together.)

[quote=“daxm, post:6, topic:1659”][quote=“sahkan, post:5, topic:1659”]Have you installed the primecoin wallet? If yes you can go to HELP, DEBUG WINDOW, CONSOLE TAB and type in:

listprimerecords 11CC

You get all records, here is one:

{
“time” : “2013-07-16 00:54:53 UTC”,
“epoch” : 1373936093,
“height” : 50357,
“ismine” : false,
“primedigit” : 93,
“primechain” : “1CC0b.b9afe5”,
“primeorigin” : “782085581864223981723860606585689982970244857289578450276592479114601803884565549647477263050”,
“primorialform” : “105391885235180642837566579719340498344767363492888467130937411507174806414446905*37#”
},

Your primorialform is the found prime, the primeorigin is what Sunny calls “prime center” as in two 1CC primes 5,7 … 6 would be the primeorigin. The found primes are mostly over 100 digits. Some of the records can be found here:
http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm[/quote]

And I’m assuming 37# (in your example) is the primorial(37)? (i.e. the first 37 primes multiplied together.)[/quote]

Yes, if you look at the link I included on my last post, it is listed there as:
93 digits, 2013-JUL-16, Primecoin (105391885235180642837566579719340498344767363492888467130937411507174806414446905*37#-1)

So the prime is in this form: k*p#+/-1

37# doesn’t stand for the product of the first 37 primes but for the product of all primes which are smaller or equal 37:

37#=23573137

[quote=“BartJSimpson, post:8, topic:1659”]37# doesn’t stand for the product of the first 37 primes but for the product of all primes which are smaller or equal 37:

37#=23573137[/quote]

Um, okay. What does it stand for?