331882 · 5674961 - 1
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The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or π(x) for x up to 100,000,000,000,000,000.

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:331882 · 5674961 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p333 : Willig, Srsieve, PrimeGrid, SierpinskiRiesel, OpenPFGW
Decimal Digits:471784   (log10 is 471783.01408034)
Rank (*):1848 (digit rank is 1)
Entrance Rank (*):236
Currently on list? (*):yes
Submitted:11/11/2011 08:00:28 CDT
Last modified:11/11/2011 22:20:22 CDT
Database id:102873
Status Flags:none
Score (*):44.3266 (normalized score 1.8184)

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 331882 5 674961 -1 2>&1
[Elapsed time: 9.773 seconds]
modified2011-12-27 16:48:26
created2011-11-11 08:05:11

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tp -q"331882*5^674961-1" 2>&1
PFGW Version [GWNUM 26.5]
Primality testing 331882*5^674961-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
331882*5^674961-1 is prime! (50035.0534s+0.0353s)
[Elapsed time: 13.90 hours]
modified2011-12-27 16:48:26
created2011-11-11 08:23:02

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.