9777 · 2676480 + 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:9777 · 2676480 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1513 : Miller1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:203645   (log10 is 203644.76167239)
Rank (*):30922 (digit rank is 1)
Entrance Rank (*):3505
Currently on list? (*):no
Submitted:8/21/2011 20:42:09 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):12/5/2011 16:08:10 UTC
Database id:101158
Status Flags:none
Score (*):41.7439 (normalized score 0.0398)

User comments about this prime (disclaimer):

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PrimeGrid writes (11 Sep 2014):  (report abuse)
9777*2^676480+1 is a Factor of GF(676477,8)

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_id101158
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 9777 2 676480 1 2>&1 [Elapsed time: 9.907 seconds]
modified2020-07-07 22:30:31
created2011-08-21 20:49:13
id131889

fieldvalue
prime_id101158
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"9777*2^676480+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 9777*2^676480+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 9777*2^676480+1 is prime! (710.1471s+0.0283s) [Elapsed time: 11.85 minutes]
modified2020-07-07 22:30:31
created2011-08-21 20:51:56
id131890

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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