28993093368077 · 2399# + 19421
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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:28993093368077 · 2399# + 19421
Verification status (*):PRP
Official Comment:Sextuplet (2), ECPP
Proof-code(s): (*):c18 : Luhn, Primo
Decimal Digits:1037   (log10 is 1036.4795789638)
Rank (*):112660 (digit rank is 35)
Entrance Rank (*):110142
Currently on list? (*):short
Submitted:3/14/2016 02:19:20 CDT
Last modified:3/14/2016 15:50:03 CDT
Database id:121425
Status Flags:Verify, TrialDiv
Score (*):25.3841 (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 914
Subcategory: "ECPP"
(archival tag id 218280, tag last modified 2017-11-16 23:50:19)
Sextuplet (archivable class *)
Prime on list: yes, rank 5, weight 44.728491662779
Subcategory: "Sextuplet"
(archival tag id 218281, tag last modified 2016-03-15 13:57:15)

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_id121425
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"28993093368077*2399#+19421" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 28993093368077*2399#+19421 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N-1 BLS with factored part 0.84% and helper 0.49% (3.05% proof)


28993093368077*2399#+19421 is Fermat and Lucas PRP! (0.2540s+0.0004s)
[Elapsed time: 1.00 seconds]
modified2016-04-08 12:40:26
created2016-03-14 02:21:01
id167056

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.