319 · 22498685 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:319 · 22498685 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2017 : Hubbard, PSieve, Srsieve, NPLB, LLR
Decimal Digits:752182   (log10 is 752181.638506338)
Rank (*):1393 (digit rank is 1)
Entrance Rank (*):765
Currently on list? (*):short
Submitted:10/7/2018 11:03:12 CDT
Last modified:10/7/2018 11:50:21 CDT
Database id:125667
Status Flags:TrialDiv
Score (*):45.759 (normalized score 4.5589)

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_id125667
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 319*2^2498685-1 2>&1 Starting Lucas Lehmer Riesel prime test of 319*2^2498685-1 Using AVX FFT length 160K, Pass1=128, Pass2=1280 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 319*2^2498685-1 is prime! (752182 decimal digits) Time : 1900.661 sec. [Elapsed time: 31.68 minutes]
modified2020-07-07 17:30:14
created2018-10-07 11:11:02
id171344

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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