The Minimum MegaPRP.
Projectmanager: Kenneth Egtved Pedersen
Kenneth Egtved Pedersen (Sieved to p=2003542974956722)
Firstpass and secondpass testers:
Kenneth Egtved Pedersen
Patrick De Geest
Paul Jobling (NewPGen \\\"AP sieve\\\")
Jean Penné (LLR)
Mark Rodenkirch (OpenPFGW)
George Woltman (GWNum libraries used by LLR and PFGW, when PRP testing our
Kenneth J. Brazier
The complete dataset wich contains data for all y values, ranging from y=1
to y=593499, can be found at www.worldofnumbers.com
The PRP was found on December 24th 2012, by Peter Kaiser and was verified by
Kenneth Egtved Pedersen on January 15th 2013 as a base-3 PRP.
On January 15th 2013 our MegaPRP was verified as Strong-Fermat, Lucas and
Frobenius PRP for the bases: 2, 3, 5 and 7
On January 19th 2013 our MegaPRP was verified as Strong-Fermat, Lucas and
Frobenius PRP for the bases: 11 and 13
And finally on January 21st 2013 our MegaPRP was verified as Strong-Fermat,
Lucas and Frobenius PRP for the bases: 17 and 19
This gives a total of 8 different prime-bases that each came back as PRP. So
even though the PRP is not proven-prime, it is very unlikely that our PRP
has a big factor hidden somewhere.
The project manager of \\\"The Minimum MegaPRP search\\\" wishes to thank all who
helped improve the search and make this project succesfull, this fast.
Please note that this PRP is most likely when proven, the smallest possible
prime with exactly 1,000,000 digits, hence the Minimum MegaPRP search has
achieved its goal of searching for and finding the smallest possible
Go to the www.worldofnumbers.com website to get a full extraction of the
dataset. The dataset should be availeable shortly after the completion of
the doublecheck effort.
To be completed...