
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:  825 · 2^{1504415}  1 
Verification status (*):  Proven 
Official Comment:  
Proofcode(s): (*):  L1817 : Barnes, PSieve, Srsieve, NPLB, LLR 
Decimal Digits:  452877 (log_{10} is 452876.957380777) 
Rank (*):  3722 (digit rank is 1) 
Entrance Rank (*):  2715 
Currently on list? (*):  yes 
Submitted:  4/4/2018 23:22:05 CDT 
Last modified:  4/5/2018 00:20:27 CDT 
Database id:  124568 
Status Flags:  TrialDiv 
Score (*):  44.201 (normalized score 1.2159) 

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  124568 
person_id  9 
machine  Using: Xeon (pool) 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/clientpool/1/pfgw64 tp q"825*2^15044151" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 825*2^15044151 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 17/1504426 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the a1 switch) Running N+1 test using discriminant 7, base 1+sqrt(7) Calling BrillhartLehmerSelfridge with factored part 100.00%
825*2^15044151 is prime! (2927.5147s+0.0007s) [Elapsed time: 48.78 minutes]

modified  20180925 13:41:13 
created  20180404 23:23:01 
id  170233 

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