28387857090561 · 233501 + 5
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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:28387857090561 · 233501 + 5
Verification status (*):PRP
Official Comment:Triplet (3), ECPP
Proof-code(s): (*):c88 : Kaiser1, PolySieve, Primo
Decimal Digits:10099   (log10 is 10098.259017349)
Rank (*):72893 (digit rank is 2)
Entrance Rank (*):72782
Currently on list? (*):short
Submitted:11/27/2017 10:07:57 CDT
Last modified:11/27/2017 10:20:17 CDT
Database id:124027
Status Flags:Verify, TrialDiv
Score (*):32.4704 (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 153
Subcategory: "ECPP"
(archival tag id 218941, tag last modified 2017-11-27 10:20:19)
Triplet (archivable class *)
Prime on list: yes, rank 4
Subcategory: "Triplet (3)"
(archival tag id 218942, tag last modified 2017-11-27 10:20:20)

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"28387857090561*2^33501+5" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 28387857090561*2^33501+5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Calling N-1 BLS with factored part 0.10% and helper 0.01% (0.30% proof)

28387857090561*2^33501+5 is Fermat and Lucas PRP! (7.5337s+0.0630s)
[Elapsed time: 8.00 seconds]
modified2017-11-27 10:13:16
created2017-11-27 10:13:08

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