502573 · 27181987 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or π(x) for x up to 100,000,000,000,000,000.

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:502573 · 27181987 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3964 : Iakovlev, Srsieve, PrimeGrid, LLR
Decimal Digits:2162000   (log10 is 2161999.21666792)
Rank (*):25 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):short
Submitted:10/5/2014 08:06:44 CDT
Last modified:10/5/2014 16:20:29 CDT
Database id:118597
Status Flags:TrialDiv
Score (*):48.9974 (normalized score 194.1733)

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_id118597
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 502573*2^7181987-1 2>&1
Starting Lucas Lehmer Riesel prime test of 502573*2^7181987-1
Using AVX FFT length 720K, Pass1=320, Pass2=2304
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


502573*2^7181987-1 is prime! (2162000 decimal digits) Time : 28290.557 sec.
[Elapsed time: 7.86 hours]
modified2014-12-15 15:47:31
created2014-10-05 08:11:01
id164179

Query times: 0.0005 seconds to select prime, 0.0003 seconds to seek comments.