2247 · 2514120 - 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:2247 · 2514120 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L910 : Zaveri, Srsieve, NPLB, LLR
Decimal Digits:154769   (log10 is 154768.89297384)
Rank (*):30981 (digit rank is 1)
Entrance Rank (*):3644
Currently on list? (*):no
Submitted:12/13/2009 13:57:51 CDT
Last modified:12/13/2009 14:20:27 CDT
Removed (*):6/25/2010 13:32:46 CDT
Database id:91161
Status Flags:none
Score (*):40.8993 (normalized score 0.0583)

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_id91161
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 2247 2 514120 -1 2>&1
[Elapsed time: 9.357 seconds]
modified2011-12-27 16:48:41
created2009-12-13 14:05:01
id111697

fieldvalue
prime_id91161
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 2247*2^514120-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2247*2^514120-1
Using Irrational Base DWT : Mersenne fftlen = 28672, Used fftlen = 40960
V1 = 11 ; Computing U0...
V1 = 11 ; Computing U0...done.
Starting Lucas-Lehmer loop...

2247*2^514120-1 is prime! Time : 574.903 sec.
[Elapsed time: 9.58 minutes]
modified2010-03-13 18:56:32
created2009-12-13 14:08:01
id111698

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