993 · 101768283 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:993 · 101768283 - 1
Verification status (*):Proven
Official Comment:Near-repdigit
Proof-code(s): (*):L4879 : Propper, Batalov, Srsieve, LLR
Decimal Digits:1768286   (log10 is 1768285.99694925)
Rank (*):86 (digit rank is 1)
Entrance Rank (*):72
Currently on list? (*):short
Submitted:2/22/2019 09:30:57 CDT
Last modified:2/23/2019 05:20:10 CDT
Database id:126215
Status Flags:TrialDiv
Score (*):48.3812 (normalized score 75.8684)

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.
Near-repdigit (archivable *)
Prime on list: yes, rank 1
Subcategory: "Near-repdigit"
(archival tag id 220136, tag last modified 2019-02-23 05:20:11)

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_id126215
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tp -q"993*10^1768283-1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 993*10^1768283-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 69.90%


993*10^1768283-1 is prime! (69824.3488s+0.0462s)
[Elapsed time: 19.40 hours]
modified2019-02-23 04:54:46
created2019-02-22 09:31:02
id171893

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.