3 · 211895718 - 1
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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:3 · 211895718 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4159 : Schulz5, Srsieve, PrimeGrid, LLR
Decimal Digits:3580969   (log10 is 3580968.41508119)
Rank (*):13 (digit rank is 1)
Entrance Rank (*):12
Currently on list? (*):short
Submitted:6/26/2015 08:04:58 CDT
Last modified:6/26/2015 19:20:25 CDT
Database id:120038
Status Flags:TrialDiv
Score (*):50.5434 (normalized score 911.1912)

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_id120038
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 3*2^11895718-1 2>&1
Starting Lucas Lehmer Riesel prime test of 3*2^11895718-1
Using AVX FFT length 640K, Pass1=512, Pass2=1280
V1 = 17 ; Computing U0...
V1 = 17 ; Computing U0...done.Starting Lucas-Lehmer loop...


3*2^11895718-1 is prime! (3580969 decimal digits) Time : 39520.613 sec.
[Elapsed time: 10.98 hours]
modified2016-04-08 12:40:28
created2015-06-26 08:11:01
id165665

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.