33 · 22939063 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:33 · 22939063 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3345 : Domanov1, PSieve, Rieselprime, LLR
Decimal Digits:884748   (log10 is 884747.64066011)
Rank (*):3147 (digit rank is 2)
Entrance Rank (*):103
Currently on list? (*):short
Submitted:11/2/2013 12:37:28 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:116183
Status Flags:none
Score (*):46.2572 (normalized score 3.6323)

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.

Serge Batalov writes (24 Sep 2021):  (report abuse)
Arithmetic progression (2,d=33*2^2939063-5606879602425*2^1290000) [p423]

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_id116183
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 33*2^2939063-1 2>&1 Starting Lucas Lehmer Riesel prime test of 33*2^2939063-1 Using Irrational Base DWT : Mersenne fftlen = 163840, Used fftlen = 196608 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... 33*2^2939063-1 is prime! Time : 19131.958 sec. [Elapsed time: 5.31 hours]
modified2020-07-07 22:30:18
created2013-11-02 14:45:05
id161687

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