34079433075 · 2333333 - 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:34079433075 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L568 : Yama, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.76403702)
Rank (*):45255 (digit rank is 261)
Entrance Rank (*):4626
Currently on list? (*):no
Submitted:2/23/2008 16:31:13 CDT
Last modified:2/23/2008 17:06:25 CDT
Removed (*):4/7/2008 10:33:21 CDT
Database id:84210
Status Flags:none
Score (*):39.5651 (normalized score 0.0062)

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_id84210
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 34079433075 2 333333 -1 2>&1 [Elapsed time: 9.723 seconds]
modified2020-07-07 17:30:40
created2008-02-23 16:52:40
id97551

fieldvalue
prime_id84210
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 34079433075*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 34079433075*2^333333-1 Using Zero Padded IBDWT : Mersenne fftlen = 16384, Used fftlen = 32768 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... *2^333333-1 is prime! Time : 384.473 sec. [Elapsed time: 6.42 minutes]
modified2020-07-07 17:30:40
created2008-02-23 17:00:00
id97554

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.