2103 · 21082742 + 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:2103 · 21082742 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1753 : Iwasaki, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:325942   (log10 is 325941.14240448)
Rank (*):14388 (digit rank is 1)
Entrance Rank (*):2435
Currently on list? (*):no
Submitted:3/28/2013 18:39:14 CDT
Last modified:3/28/2013 19:50:26 CDT
Removed (*):1/5/2014 20:29:07 CDT
Database id:111863
Status Flags:none
Score (*):43.1903 (normalized score 0.3703)

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 2103 2 1082742 1 2>&1
[Elapsed time: 10.180 seconds]
modified2013-04-08 09:17:47
created2013-03-28 18:48:12

machineWinXP Dual Core 2.6GHz 64-bit Laptop
notesCommand: pfgw64.exe -t -q"2103*2^1082742+1" 2>&1
PFGW Version [GWNUM 27.8]
Primality testing 2103*2^1082742+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
2103*2^1082742+1 is prime! (558.0626s+0.0036s)
[Elapsed time: 558 seconds]
modified2013-04-08 09:17:47
created2013-03-28 19:15:41

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.