539679177 · 23321910 - 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:539679177 · 23321910 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4808 : Kaiser1, PolySieve, LLR
Decimal Digits:1000004   (log10 is 1000003.2850318)
Rank (*):798 (digit rank is 19)
Entrance Rank (*):482
Currently on list? (*):short
Submitted:5/15/2019 13:00:14 CDT
Last modified:5/15/2019 14:50:21 CDT
Database id:126463
Status Flags:TrialDiv
Score (*):46.633 (normalized score 10.8242)

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_id126463
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 539679177*2^3321910-1 2>&1 Starting Lucas Lehmer Riesel prime test of 539679177*2^3321910-1 Using zero-padded AVX FFT length 336K, Pass1=448, Pass2=768 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done.Starting Lucas-Lehmer loop... 539679177*2^3321910-1 is prime! (1000004 decimal digits) Time : 5789.547 sec. [Elapsed time: 1.61 hours]
modified2020-07-07 17:30:13
created2019-05-15 13:01:01
id172149

Query times: 0.0018 seconds to select prime, 0.0008 seconds to seek comments.
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