1200007 · (2756839 - 1) · (1200007 · (2756839 - 1) + 1) - 1

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This prime's information:

Description:1200007 · (2756839 - 1) · (1200007 · (2756839 - 1) + 1) - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p168 : Cami, OpenPFGW
Decimal Digits:455675   (log10 is 455674.64014422)
Rank (*):11250 (digit rank is 1)
Entrance Rank (*):1420
Currently on list? (*):no
Submitted:10/30/2014 22:03:36 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):9/8/2020 15:32:40 UTC
Database id:118696
Status Flags:none
Score (*):44.2199 (normalized score 0.4736)

User comments about this prime (disclaimer):

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Pierre Cami writes (31 Oct 2014):  (report abuse)
This is the 34th term of k*mer(n)*(k*mer(n)+1)-1 prime with the smallest k >= exponent of mer(n) with mer = Mersenne prime.See EOIS A249509. It is certified using PFGW64 -f -tp -hhelp.txt. help.txt file with (2^756839-1).

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_id118696
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: ./pfgw64 -tp -hhelper_file_id_118696 -q"1200007*(2^756839-1)*(1200007*(2^756839-1)+1)-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1200007*(2^756839-1)*(1200007*(2^756839-1)+1)-1 [N+1, Brillhart-Lehmer-Selfridge] Reading factors from helper file helper_file_id_118696 Running N+1 test using discriminant 17, base 6+sqrt(17) Calling Brillhart-Lehmer-Selfridge with factored part 50.00% 1/0 1200007*(2^756839-1)*(1200007*(2^756839-1)+1)-1 is prime! (20924.8875s+0.0679s) [Elapsed time: 5.81 hours] Helper file contains: "2^756839-1"
modified2020-07-07 22:30:17
created2014-10-31 19:40:44
id164282

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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