1003205 · 10217806 - 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 · 10217806 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1958 : DUrso, Srsieve, NewPGen, OpenPFGW, LLR
Decimal Digits:217813   (log10 is 217812.00138969)
Rank (*):29482 (digit rank is 1)
Entrance Rank (*):3738
Currently on list? (*):no
Submitted:1/8/2012 07:59:13 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):3/15/2012 15:51:43 UTC
Database id:103877
Status Flags:none
Score (*):41.9508 (normalized score 0.047)

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.
machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -tp -q"1003205*10^217806-1" 2>&1 PFGW Version [GWNUM 25.14] Primality testing 1003205*10^217806-1 [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*10^217806-1 is prime! (8725.3466s+0.0272s) [Elapsed time: 2.42 hours]
modified2020-07-07 22:30:29
created2012-01-08 07:59:40

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 1003205 10 217806 -1 2>&1 [Elapsed time: 9.681 seconds]
modified2020-07-07 22:30:29
created2012-01-08 08:05:01

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