148323 · 21973319 - 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:148323 · 21973319 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L587 : Dettweiler, Srsieve, CRUS, LLR
Decimal Digits:594034   (log10 is 594033.38122215)
Rank (*):4966 (digit rank is 1)
Entrance Rank (*):105
Currently on list? (*):yes
Submitted:7/29/2011 21:29:24 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:100942
Status Flags:none
Score (*):45.0343 (normalized score 1.0057)

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 148323 2 1973319 -1 2>&1 [Elapsed time: 10.471 seconds]
modified2020-07-07 22:30:31
created2011-07-29 21:35:01

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 148323*2^1973319-1 2>&1 Starting Lucas Lehmer Riesel prime test of 148323*2^1973319-1 Using Irrational Base DWT : Mersenne fftlen = 114688, Used fftlen = 196608 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... 148323*2^1973319-1 is prime! Time : 11500.577 sec. [Elapsed time: 3.19 hours]
modified2020-07-07 22:30:31
created2011-07-29 21:38:01

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