1003205 · 10291677 - 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:1003205 · 10291677 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1958 : DUrso, Srsieve, NewPGen, OpenPFGW, LLR
Decimal Digits:291684   (log10 is 291683.00138969)
Rank (*):23321 (digit rank is 1)
Entrance Rank (*):2165
Currently on list? (*):no
Submitted:8/24/2012 17:20:04 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/23/2013 15:41:54 UTC
Database id:108937
Status Flags:none
Score (*):42.8489 (normalized score 0.1156)

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_id108937
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -tp -q"1003205*10^291677-1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 1003205*10^291677-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 69.90% 1003205*10^291677-1 is prime! (21212.9407s+0.0991s) [Elapsed time: 5.89 hours]
modified2020-07-07 22:30:24
created2012-08-24 17:22:39
id147456

fieldvalue
prime_id108937
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 1003205 10 291677 -1 2>&1 [Elapsed time: 9.743 seconds]
modified2020-07-07 22:30:24
created2012-08-24 17:35:02
id147458

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