1285928269227 · 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:1285928269227 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3818 : Linderson, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.80362328)
Rank (*):9985 (digit rank is 638)
Entrance Rank (*):1708
Currently on list? (*):no
Submitted:3/1/2014 10:00:43 CDT
Last modified:3/1/2014 18:52:04 CDT
Removed (*):3/22/2016 08:30:26 CDT
Database id:117343
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.6454)

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_id117343
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 1285928269227*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1285928269227*2^1290000-1
Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072
V1 = 27 ; Computing U0...
V1 = 27 ; Computing U0...done.
Starting Lucas-Lehmer loop...

1285928269227*2^1290000-1 is prime! Time : 6285.151 sec.
[Elapsed time: 1.75 hours]
modified2014-04-01 17:37:37
created2014-03-01 16:52:51
id162867

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