
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:  6 · Bern(5462)/(724389557 · 8572589 · 3742097186099) 
Verification status (*):  PRP 
Official Comment:  Irregular, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c64 : Metcalfe, Minovic, Ritschel, TOPS, Primo 
Decimal Digits:  13657 (log_{10} is 13656.620815761) 
Rank (*):  69706 (digit rank is 1) 
Entrance Rank (*):  59565 
Currently on list? (*):  short 
Submitted:  5/14/2013 00:18:03 CDT 
Last modified:  5/14/2013 00:50:25 CDT 
Database id:  114142 
Status Flags:  Verify 
Score (*):  33.4056 (normalized score 0) 

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.
 Irregular Primes (archivable *)
 Prime on list: yes, rank 3
Subcategory: "Irregular Primes"
(archival tag id 217151, tag last modified 20180423 04:20:13)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 70
Subcategory: "ECPP"
(archival tag id 217152, tag last modified 20180922 16:20:28)
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  114142 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 4176531494031264....7529128889381213 1/1 mro=0
trial factoring to 4023025 4176531494...8889381213 has no small factor. [Elapsed time: 21.963 seconds]

modified  20130604 07:30:39 
created  20130514 00:35:24 
id  158662 

field  value 
prime_id  114142 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4176531494...8889381213 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N1 test using base 3 Running N+1 test using discriminant 11, base 3+sqrt(11) Calling N1 BLS with factored part 0.09% and helper 0.06% (0.33% proof) 4176531494...8889381213 is Fermat and Lucas PRP! (104.7961s+0.0050s) [Elapsed time: 1.73 minutes]

modified  20130514 00:25:08 
created  20130514 00:23:24 
id  158660 

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