
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:  205833 · 2^{2976222}  411665 
Verification status (*):  Proven 
Official Comment:  
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  L4667 : Morelli, LLR 
Decimal Digits:  895938 (log_{10} is 895937.409270048) 
Rank (*):  645 (digit rank is 1) 
Entrance Rank (*):  349 
Currently on list? (*):  short 
Submitted:  8/20/2017 05:23:00 CDT 
Last modified:  8/26/2017 22:02:00 CDT 
Database id:  123859 
Status Flags:  none 
Score (*):  46.2958 (normalized score 9.6598) 

User comments about this prime (disclaimer):
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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  123859 
person_id  9 
machine  Using: Xeon (pool) 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/clientpool/1/pfgw64 t hhelper q"205833*2^2976222411665" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 205833*2^2976222411665 [N1, BrillhartLehmerSelfridge] Reading factors from helper file helper Running N1 test using base 3 Calling BrillhartLehmerSelfridge with factored part 100.00%
205833*2^2976222411665 is prime! (35295.7567s+0.0011s) [Elapsed time: 9.80 hours] Helper File: 2^29762211

modified  20170827 07:23:28 
created  20170826 12:13:44 
id  169527 

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