
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:  "10000000000000000000...(34053 other digits)...00000000000000532669" 
Verification status (*):  PRP 
Official Comment:  ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c84 : Underwood, Primo 
Decimal Digits:  34093 (log_{10} is 34092) 
Rank (*):  58429 (digit rank is 1) 
Entrance Rank (*):  55240 
Currently on list? (*):  short 
Submitted:  11/23/2016 08:03:47 CDT 
Last modified:  8/2/2017 08:05:13 CDT 
Database id:  122527 
Blob database id:  359 
Status Flags:  Verify, TrialDiv 
Score (*):  36.2347 (normalized score 0.0004) 

Description:
(from blob table id=359)
Arranged in a 103 by 331 grid this prime depicts the
Mersenne prime exponent 57,885,161
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.
 Elliptic Curve Primality Proof (archivable *)
 Prime on list: yes, rank 3
Subcategory: "ECPP"
(archival tag id 218523, tag last modified 20190216 16:50:05)
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  122527 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prp 
notes  Command: /home/caldwell/client/pfgw/pfgw64 tc p_122527.txt 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1000000000...0000532669 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N+1 BLS with factored part 0.05% and helper 0.02% (0.15% proof)
1000000000...0000532669 is Fermat and Lucas PRP! (92.2635s+0.0162s) [Elapsed time: 1.53 minutes]

modified  20170127 05:57:10 
created  20161123 08:11:02 
id  168168 

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
