3 · 211484018 - 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 · 211484018 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3993 : Gushchak, Srsieve, PrimeGrid, LLR
Decimal Digits:3457035   (log10 is 3457034.36586634)
Rank (*):15 (digit rank is 1)
Entrance Rank (*):12
Currently on list? (*):short
Submitted:11/23/2014 16:37:10 CDT
Last modified:11/24/2014 03:50:29 CDT
Database id:118807
Status Flags:TrialDiv
Score (*):50.4355 (normalized score 818.0071)

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_id118807
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 3*2^11484018-1 2>&1
Starting Lucas Lehmer Riesel prime test of 3*2^11484018-1
Using AVX FFT length 640K, Pass1=512, Pass2=1280
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...


3*2^11484018-1 is prime! (3457035 decimal digits) Time : 38157.833 sec.
[Elapsed time: 10.60 hours]
modified2014-12-15 15:47:31
created2014-11-23 16:46:12
id164392

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