- E(886)/68689
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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: - E(886)/68689
Verification status (*):PRP
Official Comment:Euler irregular, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c4 : Broadhurst, Primo
Decimal Digits:2051   (log10 is 2050.02002614475)
Rank (*):91501 (digit rank is 13)
Entrance Rank (*):32675
Currently on list? (*):short
Submitted:1/26/2002 19:22:04 CDT
Last modified:1/26/2002 19:22:04 CDT
Database id:35158
Status Flags:Verify
Score (*):27.5142 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 703
Subcategory: "ECPP"
(archival tag id 176125, tag last modified 2017-10-14 12:20:21)
Euler Irregular primes (archivable *)
Prime on list: yes, rank 17
Subcategory: "Euler Irregular primes"
(archival tag id 176124, tag last modified 2015-04-20 07:50:19)

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): 
notes

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_id35158
person_id9
machineLinux PII 200
whatprp
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Reading factors from helper file helper Error opening file helper Running N-1 test using base 2 Primality testing -E(886)/68689 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 0.23% -E(886)/68689 is PRP! (9.720000 seconds)
modified2003-03-25 11:22:47
created2003-01-07 00:00:29
id63962

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