2670790847067 · 21290000 - 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:2670790847067 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3997 : Jackson1, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.121046415)
Rank (*):8025 (digit rank is 887)
Entrance Rank (*):3832
Currently on list? (*):no
Submitted:4/2/2016 11:04:29 CDT
Last modified:4/2/2016 11:50:34 CDT
Removed (*):1/31/2017 03:43:44 CDT
Database id:121511
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.7241)

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 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 2670790847067*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2670790847067*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 9 ; Computing U0...
V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop...

2670790847067*2^1290000-1 is prime! (388342 decimal digits) Time : 779.389 sec.
[Elapsed time: 12.98 minutes]
modified2016-04-08 12:40:26
created2016-04-02 11:26:48

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.