1004 · 133238300 - 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:1004 · 133238300 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p289 : Steine, Srsieve, CRUS, OpenPFGW
Decimal Digits:506117   (log10 is 506116.84777617)
Rank (*):1814 (digit rank is 1)
Entrance Rank (*):515
Currently on list? (*):yes
Submitted:6/30/2013 03:39:51 CDT
Last modified:7/1/2013 03:50:30 CDT
Database id:114530
Status Flags:none
Score (*):44.5424 (normalized score 2.2299)

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_id114530
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1004 133 238300 -1 2>&1
[Elapsed time: 9.822 seconds]
modified2013-08-16 09:44:45
created2013-06-30 03:48:02
id159437

fieldvalue
prime_id114530
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -tp -q"1004*133^238300-1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 1004*133^238300-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 4+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 60.21%
1004*133^238300-1 is prime! (77050.4377s+0.0406s)
[Elapsed time: 21.40 hours]
modified2013-08-16 09:44:45
created2013-06-30 06:00:49
id159439

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.