6 · Bern(2974)/19622040971147542470479091157507
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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(2974)/19622040971147542470479091157507
Verification status (*):PRP
Official Comment:Irregular, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c8 : Water, Broadhurst, Primo
Decimal Digits:6637   (log10 is 6636.259519465)
Rank (*):76918 (digit rank is 1)
Entrance Rank (*):67251
Currently on list? (*):short
Submitted:2/27/2013 15:47:23 CDT
Last modified:2/27/2013 16:20:25 CDT
Database id:111375
Status Flags:Verify
Score (*):31.1683 (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 9
Subcategory: "Irregular Primes"
(archival tag id 215138, tag last modified 2016-11-18 02:20:40)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 279
Subcategory: "ECPP"
(archival tag id 215139, 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.

David Broadhurst writes (11 Sep 2014): 
certificate

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_id111375
person_id9
machineRedHat P4 P4
whattrial_divided
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
1817688522724761....6852817466862541 1/1 mro=0


trial factoring to 1843575
1817688522...7466862541 has no small factor.
[Elapsed time: 5.031 seconds]
modified2013-03-21 09:38:26
created2013-02-27 15:48:06
id153069

fieldvalue
prime_id111375
person_id9
machineRedHat P4 P4
whatprp
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 1817688522...7466862541 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.11% and helper 0.09% (0.43% proof)
1817688522...7466862541 is Fermat and Lucas PRP! (15.4167s+0.0019s)
[Elapsed time: 15.00 seconds]
modified2013-02-27 15:53:21
created2013-02-27 15:53:06
id153071

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