3609839911527 · 21290000 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help

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:3609839911527 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3203 : Scalise, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.251894478)
Rank (*):5615 (digit rank is 47)
Entrance Rank (*):4948
Currently on list? (*):no
Submitted:7/13/2017 07:15:37 CDT
Last modified:7/13/2017 07:50:14 CDT
Removed (*):7/31/2017 09:25:44 CDT
Database id:123741
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.9186)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 3609839911527*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 3609839911527*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...

3609839911527*2^1290000-1 is prime! (388342 decimal digits) Time : 799.872 sec.
[Elapsed time: 13.33 minutes]
modified2017-08-07 13:02:22
created2017-07-13 07:21:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.