735 · 2467323 - 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:735 · 2467323 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g172 : Chaffey, Proth.exe
Decimal Digits:140682   (log10 is 140681.10695102)
Rank (*):42736 (digit rank is 1)
Entrance Rank (*):676
Currently on list? (*):no
Submitted:6/23/2006 19:27:31 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):11/13/2009 08:19:46 UTC
Database id:78014
Status Flags:none
Score (*):40.6055 (normalized score 0.0127)

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_id78014
person_id9
machineWinXP P4 2.2GHz M
whatprime
notesCommand: pfgw.exe -n -f -tp -q"735*2^467323-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 735*2^467323-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 49072183 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 735*2^467323-1 is prime! (16918.5781s+0.0698s) [Elapsed time: 16919 seconds]
modified2020-07-07 22:30:42
created2006-06-24 02:13:37
id84566

fieldvalue
prime_id78014
person_id9
machineGenToo P3 400MHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 735 2 467323 -1 2>&1 [Elapsed time: 9.608 seconds]
modified2020-07-07 22:30:42
created2006-07-07 09:20:15
id84706

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.