9705 · 21390508 + 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:9705 · 21390508 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3035 : Scalise, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:418589   (log10 is 418588.60420627)
Rank (*):3634 (digit rank is 1)
Entrance Rank (*):1804
Currently on list? (*):yes
Submitted:12/27/2014 04:56:29 CDT
Last modified:12/27/2014 05:50:17 CDT
Database id:119005
Status Flags:TrialDiv
Score (*):43.9591 (normalized score 1.2293)

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_id119005
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"9705*2^1390508+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 9705*2^1390508+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


9705*2^1390508+1 is prime! (936.7854s+0.0006s)
[Elapsed time: 15.62 minutes]
modified2015-01-06 10:48:30
created2014-12-27 05:32:22
id164611

Query times: 0.0004 seconds to select prime, 0.001 seconds to seek comments.