221488788 · 24001# + 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:221488788 · 24001# + 1
Verification status (*):Proven
Official Comment:Arithmetic progression (5,d=22703701*24001#)
Proof-code(s): (*):p155 : DavisK, NewPGen, OpenPFGW
Decimal Digits:10377   (log10 is 10376.873082633)
Rank (*):74527 (digit rank is 4)
Entrance Rank (*):73374
Currently on list? (*):short
Submitted:7/19/2018 23:16:09 CDT
Last modified:7/19/2018 23:50:20 CDT
Database id:125482
Status Flags:TrialDiv
Score (*):32.5547 (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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: yes, rank 3, weight 48.0048661553827
Subcategory: "Arithmetic progression (5,d=*)"
(archival tag id 219841, tag last modified 2018-11-01 07:50:25)

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_id125482
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"221488788*24001#+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 221488788*24001#+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 24019
Calling Brillhart-Lehmer-Selfridge with factored part 33.34%


221488788*24001#+1 is prime! (12.5826s+0.0082s)
[Elapsed time: 12.00 seconds]
modified2018-09-25 13:41:11
created2018-07-19 23:21:01
id171151

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