
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  266206 · 5^{608649}  1 
Verification status (*):  Proven 
Official Comment:  
Proofcode(s): (*):  L2050 : Kaiser1, Srsieve, PrimeGrid, SierpinskiRiesel, LLR 
Decimal Digits:  425433 (log_{10} is 425432.81938695) 
Rank (*):  2694 (digit rank is 1) 
Entrance Rank (*):  178 
Currently on list? (*):  yes 
Submitted:  2/10/2011 15:25:20 CDT 
Last modified:  2/14/2011 03:21:00 CDT 
Database id:  98188 
Status Flags:  none 
Score (*):  44.0089 (normalized score 1.3235) 

Verification data:
The Top 5000 Primes is a list for proven primes only. In order to maintain the
integrity of this list, we seek to verify the primality of all submissions.
We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial
divide and PRP
check every entry before it is included in the list.
field  value 
prime_id  98188 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/TrialDiv/TrialDiv q 266206 5 608649 1 2>&1 [Elapsed time: 9.822 seconds]

modified  20111227 16:48:34 
created  20110210 15:35:01 
id  125765 

field  value 
prime_id  98188 
person_id  9 
machine  Ditto P4 P4 
what  prime 
notes  Command: /home/ditto/client/pfgw tp q"266206*5^6086491" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 266206*5^6086491 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(196608,19) to FFT(196608,18) Reduced from FFT(196608,18) to FFT(196608,17) Reduced from FFT(196608,17) to FFT(196608,16) 2826532 bit request FFT size=(196608,16) Running N+1 test using discriminant 7, base 3+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(196608,19) to FFT(196608,18) Reduced from FFT(196608,18) to FFT(196608,17) Reduced from FFT(196608,17) to FFT(196608,16) 2826532 bit request FFT size=(196608,16) Calling BrillhartLehmerSelfridge with factored part 100.00% 266206*5^6086491 is prime! (300453.1659s+0.1713s) [Elapsed time: 3.48 days]

modified  20110325 10:27:30 
created  20110210 15:38:02 
id  125766 

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
