
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:  178658 · 5^{1525224}  1 
Verification status (*):  Proven 
Official Comment:  
Proofcode(s): (*):  L3789 : Toda, Srsieve, PrimeGrid, LLR 
Decimal Digits:  1066092 (log_{10} is 1066091.07791587) 
Rank (*):  137 (digit rank is 1) 
Entrance Rank (*):  61 
Currently on list? (*):  short 
Submitted:  2/1/2014 19:38:53 CDT 
Last modified:  2/4/2014 23:20:55 CDT 
Database id:  117045 
Status Flags:  TrialDiv 
Score (*):  46.8293 (normalized score 22.2138) 

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  117045 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw tp q"178658*5^15252241" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 178658*5^15252241 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 7, base 7+sqrt(7) Calling BrillhartLehmerSelfridge with factored part 100.00% 178658*5^15252241 is prime! (270149.3410s+0.1486s) [Elapsed time: 3.13 days]

modified  20140401 17:37:38 
created  20140201 19:53:01 
id  162559 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
