6 · Bern(998)/(11511758102983 · 55034215982714323 · 70834556505031411 · 38698489087506303607099 · 4712129605357293035277301907 · 362429490639499678761278968817)
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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(998)/(11511758102983 · 55034215982714323 · 70834556505031411 · 38698489087506303607099 · 4712129605357293035277301907 · 362429490639499678761278968817)
Verification status (*):PRP
Official Comment:Irregular,ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c62 : Minovic, TOPS, Primo
Decimal Digits:1640   (log10 is 1639.6285969755)
Rank (*):94261 (digit rank is 3)
Entrance Rank (*):84371
Currently on list? (*):short
Submitted:2/17/2013 01:11:52 CDT
Last modified:2/17/2013 02:20:26 CDT
Database id:111272
Status Flags:Verify
Score (*):26.8173 (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 20
Subcategory: "Irregular Primes"
(archival tag id 215089, tag last modified 2016-11-18 02:20:40)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 781
Subcategory: "ECPP"
(archival tag id 215090, tag last modified 2017-04-18 10:20:21)

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.

Predrag Minovic writes (11 Sep 2014): 
The certificate can be found here.

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.
fieldvalue
prime_id111272
person_id9
machineRedHat P4 P4
whattrial_divided
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
4252036417749786....6883925656443481 1/1 mro=0


trial factoring to 402143
4252036417...5656443481 has no small factor.
[Elapsed time: 0.378 seconds]
modified2013-02-24 16:44:13
created2013-02-17 01:18:02
id152816

fieldvalue
prime_id111272
person_id9
machineDitto P4 P4
whatprp
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 4252036417...5656443481 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 9+sqrt(19)
Calling N-1 BLS with factored part 0.37% and helper 0.33% (1.43% proof)
4252036417...5656443481 is Fermat and Lucas PRP! (1.0481s+0.0005s)
[Elapsed time: 1.00 seconds]
modified2013-02-17 01:58:45
created2013-02-17 01:58:44
id152822

Query times: 0.0005 seconds to select prime, 0.0005 seconds to seek comments.