6805 · 21178534 + 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:6805 · 21178534 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3271 : Hedlund, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:354778   (log10 is 354777.91773798)
Rank (*):15899 (digit rank is 1)
Entrance Rank (*):2645
Currently on list? (*):no
Submitted:10/8/2013 01:02:42 CDT
Last modified:10/8/2013 02:20:27 CDT
Removed (*):9/22/2014 12:27:48 CDT
Database id:115849
Status Flags:TrialDiv
Score (*):43.4508 (normalized score 0.3106)

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_id115849
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"6805*2^1178534+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 6805*2^1178534+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 6805*2^1178534+1 is prime! (3672.5973s+0.0010s) [Elapsed time: 61.20 minutes]
modified2020-07-07 17:30:18
created2013-10-08 01:08:02
id161347

Query times: 0.0002 seconds to select prime, -0.9998 seconds to seek comments.
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