There are many
different "kinds" of
primes...they all have thier own
top ten list, I only
know these
two.
The Ten largest known primes, as of 2003:

2^{20996011}1 / # of Digits: 6,320,430
 2^{13,466,917}1 / # of Digits: 4,053,946

2^{6,972,593}1 / # of Digits: 2,098,960

2^{3,021,377}1 / # of Digits: 909,526

2^{2,976,221}1 / # of Digits: 895,932

2^{1,398,269}1 / # of Digits: 420,921

2^{1,257,787}1 / # of Digits: 378,632

48,594^{65,536}+1 / # of Digits: 307,140

2^{859,433}1 / # of Digits: 258,716

2^{756,839}1 / # of Digits: 227,832
The
Ten largest known
twin primes, as of
2000:

4,648,619,711,505.2^{60,000}±1 / # of Digits: 18,075

2,409,110,779,845.2^{60,000}±1 / # of Digits: 18,075

2,230,907,354,445.2^{48,000}±1 / # of Digits: 14,462

871,892,617,365.2^{48,000}±1 / # of Digits: 14,462

361,700,055.2^{39,020}±1 / # of Digits: 11,755

835,335.2^{39,014}±1 / # of Digits: 11,751

242,206,083.2^{38,880}±1 / # of Digits: 11,713

40,883,037.2^{23,456}±1 / # of Digits: 7,069

843,753.2^{22,222}±1 / # of Digits: 6,696

9,219,177.2^{20,202}±1 / # of Digits: 6,089