5539 · 27730709 - 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.

This prime's information:

Description:5539 · 27730709 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:2327180   (log10 is 2327179.0401809)
Rank (*):189 (digit rank is 1)
Entrance Rank (*):79
Currently on list? (*):short
Submitted:1/15/2021 15:02:07 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:131579
Status Flags:none
Score (*):49.223 (normalized score 71.138)

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_id131579
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 5539*2^7730709-1 2>&1 Starting Lucas Lehmer Riesel prime test of 5539*2^7730709-1 Using AVX FFT length 576K, Pass1=128, Pass2=4608 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 5539*2^7730709-1 is prime! (2327180 decimal digits) Time : 23692.359 sec. [Elapsed time: 6.58 hours]
modified2021-04-20 22:39:25
created2021-01-15 15:06:02
id177275

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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