27 · 24583717 - 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:27 · 24583717 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2992 : Boehm, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1379838   (log10 is 1379837.73999868)
Rank (*):71 (digit rank is 1)
Entrance Rank (*):48
Currently on list? (*):short
Submitted:8/22/2014 21:30:49 CDT
Last modified:8/22/2014 23:21:34 CDT
Database id:118388
Status Flags:TrialDiv
Score (*):47.6206 (normalized score 49.0087)

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.
machineXeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 27*2^4583717-1 2>&1
Starting Lucas Lehmer Riesel prime test of 27*2^4583717-1
Using AVX FFT length 280K, Pass1=896, Pass2=320
V1 = 3 ; Computing U0...
V1 = 3 ; Computing U0...done.Starting Lucas-Lehmer loop...

27*2^4583717-1 is prime! (1379838 decimal digits) Time : 6482.585 sec.
[Elapsed time: 1.80 hours]
modified2014-12-15 15:47:32
created2014-08-22 21:31:01

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.