Primecoin World Records

PRIMECOIN NETWORK BREAKS THREE MAJOR WORLD RECORDS IN PRIMES

Primecoin is a cryptocurrency network released on July 7th, the first of its kind generating scientific computing values.

“In March 2013, I realized that searching for prime chains could potentially be such an alternative proof-of-work system. With some effort a pure prime number based proof-of-work has been designed, providing both minting and security for cryptocurrency networks similar to hashcash type of proof-of-work. The project is named primecoin.” as quoted by Sunny King, the developer of Primecoin (XPM).

Primecoin is different: Unlike Bitcoin mining which requires investing in specialized computer hardware to be profitable, Primecoin users can mine profitably with regular PC’s, while having the opportunity to make new world records in simultaneous primes.

Most Notable NEW World Records Broken by the Primecoin Network:

12-Primes:

97 digit Cunningham chain of 2nd kind, discovered on July 21, 2013

2636633268864093784733413870472713369741228379484962777696213963272946411408938 08 x 43# x 2^n + 1, n = 0, 1, 2, … , 11

11-Primes:

116 digit Cunningham chain of 1st kind, discovered on July 26, 2013

5660024353533890484701951541976337153276398093541500793553503466718605648249499 63 x 89# x 2^n – 1, n = 0, 1, 2, …, 10

10-Primes:

138 digit Bi-Twin chain, discovered on July 27, 2013

3902776190280200771461852872539736358510892137723584803244082313244746478765369 7269 x 139# x 2^n ± 1, n = 0, 1, 2, 3, 4

The largest known simultaneous primes world records currently consist of 21 records, from the single prime record to 21-primes record. Jens Kruse Andersen, maintainer of the record book for simultaneous primes has confirmed the new discoveries. Dirk Augustin, still holder of 5 records among the 21 with the 10-primes and 12-primes records surpassed, congratulated Primecoin and praised for its ‘strong improvement of records for Cunningham chains’. The fledgling cryptocurrency network now holds 3 of the 21 world records, while the old time favorite distributed computing network GIMPS (Great Internet Mersenne Prime Search) holds the 1-prime record with its 17-million digit Mersenne prime discovered in January this year.

FAQ

A) Why is Primecoin scientifically significant? The prime chains Primecoin searches for are related to prime distribution, an important area of number theory which includes the twin prime conjecture as special case.

B) Are the primes practically useful? The Cunningham chains are already considered useful in cryptography and may find even more uses in the future for other computing purposes.

Source: http://en.wikipedia.org/wiki/Cunningham_chain (reference: ElGamal cryptosystem)

Resources:

Wikipedia: http://en.wikipedia.org/wiki/Primecoin

Official Whitepaper: http://ppcoin.org/static/primecoin-paper.pdf

Business Insider: http://www.businessinsider.com/primecoin-2013-7

Bitcoin Magazine: http://bitcoinmagazine.com/primecoin-the-cryptocurrency-whose-mining-is-actually-useful/

GIMPS found 17-million digit prime: http://www.mersenne.org/various/57885161.htm

Breakthrough on Twin Prime Conjecture, a special case of simultaneous primes

Simultaneous Primes Record Book maintained by Jens Kruse Andersen

Cunningham Chain Record Book maintained by Dirk Augustin

Bi-twin ChainRecord Book maintained by Henri Lifchitz

Reach The Team

For media inquiries please contact press adam@Primecoiner.com. Contact Sunny King, the developer/creator: sandi@Primecoiner.com

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Note: For all media, editors, & press: You have permission to re-write, edit, modify, add, and remove content as you wish in your own copy. 2013.

source: http://www.primecoiner.com/primecoin-network-breaks-world-records/

Primecoin World Records