1091 · 24215518 - 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:1091 · 24215518 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1828 : Benson, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:1269001   (log10 is 1269000.40308618)
Rank (*):166 (digit rank is 1)
Entrance Rank (*):146
Currently on list? (*):short
Submitted:11/21/2018 07:44:21 CDT
Last modified:11/21/2018 09:50:22 CDT
Database id:125805
Status Flags:TrialDiv
Score (*):47.3638 (normalized score 28.0984)

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_id125805
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 1091*2^4215518-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1091*2^4215518-1
Using AVX FFT length 288K, Pass1=128, Pass2=2304
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


1091*2^4215518-1 is prime! (1269001 decimal digits) Time : 6079.753 sec.
[Elapsed time: 1.69 hours]
modified2018-11-21 09:32:21
created2018-11-21 07:51:01
id171482

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