325 · 22223243 - 1
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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:325 · 22223243 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2235 : Mullage, PSieve, Srsieve, NPLB, LLR
Decimal Digits:669266   (log10 is 669265.342533338)
Rank (*):846 (digit rank is 1)
Entrance Rank (*):678
Currently on list? (*):short
Submitted:12/1/2016 17:04:43 CDT
Last modified:12/1/2016 17:50:37 CDT
Database id:122557
Status Flags:TrialDiv
Score (*):45.4005 (normalized score 5.2594)

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_id122557
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 325*2^2223243-1 2>&1
Starting Lucas Lehmer Riesel prime test of 325*2^2223243-1
Using AVX FFT length 140K, Pass1=448, Pass2=320
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


325*2^2223243-1 is prime! (669266 decimal digits) Time : 1502.009 sec.
[Elapsed time: 25.03 minutes]
modified2017-01-27 05:57:10
created2016-12-01 17:11:02
id168199

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.