- E(638)/(7235862947323 · 11411779188663863 · 526900327479624797)
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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(638)/(7235862947323 · 11411779188663863 · 526900327479624797)
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:1343   (log10 is 1342.53912698217)
Rank (*):97880 (digit rank is 16)
Entrance Rank (*):38910
Currently on list? (*):short
Submitted:1/26/2002 19:22:04 CDT
Last modified:1/26/2002 19:22:04 CDT
Database id:41426
Status Flags:Verify
Score (*):26.193 (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 826
Subcategory: "ECPP"
(archival tag id 176820, tag last modified 2017-09-09 11:20:24)
Euler Irregular primes (archivable *)
Prime on list: yes, rank 20
Subcategory: "Euler Irregular primes"
(archival tag id 176819, tag last modified 2017-02-06 05:20:41)

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_id41426
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(638)/(7235862947323*11411779188663863*526900327479624797) [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 0.20% -E(638)/(7235862947323*11411779188663863*526900327479624797) is PRP! (6.790000 seconds)
modified2003-03-25 11:22:48
created2003-01-06 22:41:28
id63843

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.