1309 · 21871045 - 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:1309 · 21871045 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1828 : Benson, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:563244   (log10 is 563243.78517676)
Rank (*):2379 (digit rank is 1)
Entrance Rank (*):687
Currently on list? (*):yes
Submitted:9/29/2014 03:32:56 CDT
Last modified:9/29/2014 04:20:15 CDT
Database id:118566
Status Flags:TrialDiv
Score (*):44.8709 (normalized score 1.9)

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_id118566
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 1309*2^1871045-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1309*2^1871045-1 Using AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 1309*2^1871045-1 is prime! (563244 decimal digits) Time : 1095.361 sec. [Elapsed time: 18.25 minutes]
modified2020-07-07 17:30:17
created2014-09-29 03:41:01
id164146

Query times: 0.0009 seconds to select prime, 0.0006 seconds to seek comments.
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