3705 · 2819957 + 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:3705 · 2819957 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1204 : Brown1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:246836   (log10 is 246835.22094286)
Rank (*):21922 (digit rank is 1)
Entrance Rank (*):2875
Currently on list? (*):no
Submitted:4/7/2012 16:27:06 CDT
Last modified:4/7/2012 16:50:38 CDT
Removed (*):7/21/2012 16:09:17 CDT
Database id:106135
Status Flags:none
Score (*):42.3355 (normalized score 0.1198)

User comments about this prime (disclaimer):

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PrimeGrid writes (11 Sep 2014):  (report abuse)
3705*2^819957+1 is a Factor of xGF(819956,7,3)

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 -t -q"3705*2^819957+1" 2>&1 PFGW Version [GWNUM 25.14] Primality testing 3705*2^819957+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3705*2^819957+1 is prime! (863.3958s+0.0195s) [Elapsed time: 14.55 minutes]
modified2020-07-07 17:30:27
created2012-04-07 16:34:47

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 3705 2 819957 1 2>&1 [Elapsed time: 9.910 seconds]
modified2020-07-07 17:30:27
created2012-04-07 16:35:02

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.