567 · 10258585 - 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:567 · 10258585 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1958 : DUrso, Srsieve, NewPGen, OpenPFGW, LLR
Decimal Digits:258588   (log10 is 258587.75358306)
Rank (*):25803 (digit rank is 1)
Entrance Rank (*):2885
Currently on list? (*):no
Submitted:5/20/2012 14:27:56 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):9/30/2012 14:14:56 UTC
Database id:107124
Status Flags:none
Score (*):42.4786 (normalized score 0.08)

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_id107124
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 567 10 258585 -1 2>&1 [Elapsed time: 9.038 seconds]
modified2020-07-07 22:30:25
created2012-05-20 14:35:01
id143829

fieldvalue
prime_id107124
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -tp -q"567*10^258585-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 567*10^258585-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 69.90% 567*10^258585-1 is prime! (6709.8569s+0.0257s) [Elapsed time: 1.86 hours]
modified2020-07-07 22:30:25
created2012-05-20 14:43:25
id143830

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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