"τ(6191296)"
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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:"τ(6191296)"
Verification status (*):PRP
Official Comment:ECPP
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):c72 : Deloche, Lygeros, Rozier, Primo
Decimal Digits:19900   (log10 is 19899.562410147)
Rank (*):63574 (digit rank is 2)
Entrance Rank (*):58400
Currently on list? (*):short
Submitted:8/12/2014 09:21:47 CDT
Last modified:8/12/2014 10:20:01 CDT
Database id:118333
Blob database id:329
Status Flags:Verify, TrialDiv
Score (*):34.5707 (normalized score 0.0001)

Description: (from blob table id=329)

[This prime has a pre-calculated decimal expansion (linked blob)]

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: yes, rank 19
Subcategory: "ECPP"
(archival tag id 217782, tag last modified 2017-06-04 14:20:21)

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.

Olivier Rozier writes (11 Sep 2014): 
Certificate of primality

David Broadhurst writes (11 Sep 2014): 
U(4225450805148020,619^11,1297)

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_id118333
person_id9
machineXeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 3650985828...9297830241 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 19
Running N-1 test using base 37
Running N+1 test using discriminant 61, base 2+sqrt(61)
Calling N-1 BLS with factored part 0.09% and helper 0.04% (0.31% proof)


3650985828...9297830241 is Fermat and Lucas PRP! (39.9053s+0.0072s)
[Elapsed time: 40.00 seconds]
modified2014-12-15 15:47:32
created2014-08-12 09:27:40
id163904

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.