68633 · 22715609 + 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.

Description:68633 · 22715609 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L5105 : Helm, LLR2, Srsieve, PrivGfnServer, LLR
Decimal Digits:817485   (log10 is 817484.60202805)
Rank (*):1439 (digit rank is 1)
Entrance Rank (*):1077
Currently on list? (*):short
Submitted:6/2/2020 13:02:39 CDT
Last modified:6/2/2020 14:50:10 CDT
Database id:130945
Status Flags:TrialDiv
Score (*):46.0146 (normalized score 5.2024)

User comments about this prime (disclaimer):

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Jeppe Stig Nielsen writes (2 Jun 2020):  (report abuse)
This is the smallest prime of the form 68633*2^n + 1 for which 2^n > 68633 (Proth prime).

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"68633*2^2715609+1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 68633*2^2715609+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 68633*2^2715609+1 is prime! (4153.9071s+0.0006s) [Elapsed time: 69.23 minutes]
modified2020-07-07 17:30:10
created2020-06-02 13:21:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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