Nflight
02-04-2012, 01:25 PM
Generalized Cullen/Woodall Prime Search
On 29 Jan 2012, 08:10:03 UTC, PrimeGrid’s PRPNet found the largest known
generalized Cullen prime:
427194*113427194+1
Generalized Cullen numbers are of the form: n*b^n+1. Generalized Cullen numbers that are prime
are called generalized Cullen primes. For more information, please see “Cullen prime” in The Prime
Glossary (http://primes.utm.edu/glossary).
The prime is 877,069 digits long and enters Chris Caldwell's “The Largest Known Primes
Database” (http://primes.utm.edu/primes) ranked 1st
for generalized Cullen primes and
57th overall. It is the largest non-base 2/non-generalized Fermat prime ever found.
The discovery was made by Ricky L. Hubbard of the United States using an AMD
Phenom II X6 1090t @ 3.2GHz with 8GB RAM, running Windows 7. This computer took
7 hours and 15 minutes to complete the probable prime test using pfgw64 and 7 hours
20 minutes to complete the primality test again using pfgw64. Ricky is a member of the
AMD Users Team.
Ricky has the special distinction of also holding the record for the largest generalized
Woodall prime: 404882*43^404882-1.
The Rest of the Article on pdf format: http://www.primegrid.com/download/gc113-427194.pdf
Let's Reach out to this person and appreciate what he has done for himself and our Team Recognition! :blob3:
On 29 Jan 2012, 08:10:03 UTC, PrimeGrid’s PRPNet found the largest known
generalized Cullen prime:
427194*113427194+1
Generalized Cullen numbers are of the form: n*b^n+1. Generalized Cullen numbers that are prime
are called generalized Cullen primes. For more information, please see “Cullen prime” in The Prime
Glossary (http://primes.utm.edu/glossary).
The prime is 877,069 digits long and enters Chris Caldwell's “The Largest Known Primes
Database” (http://primes.utm.edu/primes) ranked 1st
for generalized Cullen primes and
57th overall. It is the largest non-base 2/non-generalized Fermat prime ever found.
The discovery was made by Ricky L. Hubbard of the United States using an AMD
Phenom II X6 1090t @ 3.2GHz with 8GB RAM, running Windows 7. This computer took
7 hours and 15 minutes to complete the probable prime test using pfgw64 and 7 hours
20 minutes to complete the primality test again using pfgw64. Ricky is a member of the
AMD Users Team.
Ricky has the special distinction of also holding the record for the largest generalized
Woodall prime: 404882*43^404882-1.
The Rest of the Article on pdf format: http://www.primegrid.com/download/gc113-427194.pdf
Let's Reach out to this person and appreciate what he has done for himself and our Team Recognition! :blob3: