207777 · 10207777 + 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:207777 · 10207777 + 1
Verification status (*):Proven
Official Comment (*):Generalized Cullen
Proof-code(s): (*):g157 : Loeh, Proth.exe
Decimal Digits:207783   (log10 is 207782.31759747)
Rank (*):30618 (digit rank is 2)
Entrance Rank (*):1200
Currently on list? (*):no
Submitted:2/14/2010 11:21:16 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:91752
Status Flags:none
Score (*):41.8057 (normalized score 0.0408)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Cullen (archivable *)
Prime on list: no, rank 59
Subcategory: "Generalized Cullen"
(archival tag id 210608, tag last modified 2023-12-29 19:37:13)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 207777 10 207777 1 2>&1 [Elapsed time: 8.907 seconds]
modified2020-07-07 22:30:36
created2010-02-14 11:35:01

machineWinXP Dual Core 2.6GHz Laptop
notesCommand: pfgw.exe -n -t -q"207777*10^207777+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 7 Primality testing 207777*10^207777+1 [N-1, Brillhart-Lehmer-Selfridge] N-1: 207777*10^207777+1 540000/Calling Brillhart-Lehmer-Selfridge with factored part 69.90% 207777*10^207777+1 is prime! (19085.5233s+0.0676s) 690239 [Elapsed time: 19086 seconds]
modified2020-07-07 22:30:36
created2010-02-14 13:54:06

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