2145 · 2625146 - 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:2145 · 2625146 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1863 : Wozny, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:188192   (log10 is 188191.02909665)
Rank (*):29175 (digit rank is 1)
Entrance Rank (*):4070
Currently on list? (*):no
Submitted:11/16/2010 20:23:46 CDT
Last modified:11/16/2010 21:20:31 CDT
Removed (*):2/12/2011 01:31:45 CDT
Database id:96299
Status Flags:none
Score (*):41.501 (normalized score 0.0685)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 2145 2 625146 -1 2>&1
[Elapsed time: 10.034 seconds]
modified2011-12-27 16:48:36
created2010-11-16 20:35:01

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 2145*2^625146-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2145*2^625146-1
Using Irrational Base DWT : Mersenne fftlen = 32768, Used fftlen = 49152
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

2145*2^625146-1 is prime! Time : 871.715 sec.
[Elapsed time: 14.53 minutes]
modified2010-11-28 11:14:55
created2010-11-16 20:38:01

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