737 · 27269322 - 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:737 · 27269322 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4665 : Szeluga, Kupidura, Banka, LLR
Decimal Digits:2188287   (log10 is 2188286.83760757)
Rank (*):48 (digit rank is 1)
Entrance Rank (*):31
Currently on list? (*):short
Submitted:8/10/2017 12:46:27 CDT
Last modified:8/10/2017 18:20:19 CDT
Database id:123832
Status Flags:TrialDiv
Score (*):49.0344 (normalized score 151.146)

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 737*2^7269322-1 2>&1
Starting Lucas Lehmer Riesel prime test of 737*2^7269322-1
Using AVX FFT length 512K, Pass1=128, Pass2=4K
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...

737*2^7269322-1 is prime! (2188287 decimal digits) Time : 19049.277 sec.
[Elapsed time: 5.29 hours]
modified2017-08-27 07:23:29
created2017-08-10 12:51:01

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