398023 · 26418059 - 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:398023 · 26418059 - 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3659 : Volynsky, Srsieve, PrimeGrid, LLR
Decimal Digits:1932034   (log10 is 1932033.87284934)
Rank (*):52 (digit rank is 1)
Entrance Rank (*):23
Currently on list? (*):short
Submitted:10/9/2013 07:46:23 CDT
Last modified:10/11/2013 01:20:24 CDT
Database id:115858
Status Flags:TrialDiv
Score (*):48.6527 (normalized score 126.6465)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

PrimeGrid writes (27 Nov 2016): 
For more details, see the Official Announcement.

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 398023*2^6418059-1 2>&1
Starting Lucas Lehmer Riesel prime test of 398023*2^6418059-1
Using Zero Padded IBDWT : Mersenne fftlen = 327680, Used fftlen = 655360
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...

398023*2^6418059-1 is prime! Time : 147924.849 sec.
[Elapsed time: 1.71 days]
modified2013-10-21 18:10:45
created2013-10-09 07:53:01

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