1359 · 21139451 + 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:1359 · 21139451 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1505 : Watanabe, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:343013   (log10 is 343012.06280878)
Rank (*):10593 (digit rank is 1)
Entrance Rank (*):2620
Currently on list? (*):no
Submitted:8/17/2013 01:55:28 CDT
Last modified:8/17/2013 04:25:22 CDT
Removed (*):5/17/2014 11:29:52 CDT
Database id:115100
Status Flags:TrialDiv
Score (*):43.3472 (normalized score 0.6636)

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_id115100
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -q"1359*2^1139451+1" 2>&1
PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8]
Primality testing 1359*2^1139451+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
1359*2^1139451+1 is prime! (743.6757s+0.0025s)
[Elapsed time: 743 seconds]
modified2013-08-17 19:04:06
created2013-08-17 03:45:21
id160582

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