3175 · 2599362 + 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:3175 · 2599362 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2023 : Babb, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:180430   (log10 is 180429.44200488)
Rank (*):27209 (digit rank is 1)
Entrance Rank (*):4938
Currently on list? (*):no
Submitted:1/1/2011 10:52:15 CDT
Last modified:1/1/2011 11:50:33 CDT
Removed (*):1/7/2011 05:18:17 CDT
Database id:97203
Status Flags:none
Score (*):41.3714 (normalized score 0.0935)

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_id97203
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3175 2 599362 1 2>&1
[Elapsed time: 9.401 seconds]
modified2011-12-27 16:48:35
created2011-01-01 10:52:22
id123793

fieldvalue
prime_id97203
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"3175*2^599362+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 3175*2^599362+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
3175*2^599362+1 is prime! (-2103.2573s+0.0000s)
[Elapsed time: 37.38 minutes]
modified2011-01-18 10:15:30
created2011-01-01 10:53:02
id123794

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.