
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:  10^{388080}  10^{112433}  1 
Verification status (*):  PRP 
Official Comment:  Nearrepdigit 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  CH8 : Batalov, Ksieve, TOPS, LLR, OpenPFGW, CHG 
Decimal Digits:  388080 (log_{10} is 388080) 
Rank (*):  10343 (digit rank is 1) 
Entrance Rank (*):  3563 
Currently on list? (*):  short 
Submitted:  11/8/2014 14:15:17 CDT 
Last modified:  11/8/2014 18:50:29 CDT 
Database id:  118734 
Status Flags:  Verify, TrialDiv 
Score (*):  43.7266 (normalized score 0.716) 

Archival tags:
There are certain forms classed as
archivable: these prime may (at times)
remain on this list even if they do not make
the Top 5000 proper. Such primes are tracked with archival
tags.
 Nearrepdigit (archivable *)
 Prime on list: yes, rank 18
Subcategory: "Nearrepdigit"
(archival tag id 217849, tag last modified 20190414 05:20:23)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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  118734 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prp 
notes  Command: /home/caldwell/client/pfgw/pfgw64 tp q"10^38808010^1124331" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 10^38808010^1124331 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling BrillhartLehmerSelfridge with factored part 28.98%
10^38808010^1124331 is Lucas PRP! (9046.8936s+0.0097s) [Elapsed time: 2.51 hours]

modified  20141215 15:47:31 
created  20141108 15:58:47 
id  164319 

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
