97768 · 5987383 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:97768 · 5987383 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1016 : Hartel, Srsieve, PrimeGrid, LLR
Decimal Digits:690157   (log10 is 690156.08998804)
Rank (*):846 (digit rank is 1)
Entrance Rank (*):177
Currently on list? (*):short
Submitted:6/20/2013 05:13:25 CDT
Last modified:6/20/2013 17:20:32 CDT
Database id:114449
Status Flags:none
Score (*):45.4948 (normalized score 5.3684)

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 P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 97768 5 987383 -1 2>&1
[Elapsed time: 10.365 seconds]
modified2013-08-16 09:44:46
created2013-06-20 05:18:01

machineWinXP Dual Core 2.6GHz 64-bit Laptop
notesCommand: pfgw64.exe -tp -q"97768*5^987383-1" 2>&1
PFGW Version [GWNUM 27.8]
Primality testing 97768*5^987383-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
97768*5^987383-1 is prime! (21818.5856s+0.0315s)
[Elapsed time: 21820 seconds]
modified2013-08-16 09:44:46
created2013-06-20 11:00:59

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.