27 · 212184319 + 1

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Description:27 · 212184319 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:3667847   (log10 is 3667846.9271023)
Rank (*):39 (digit rank is 1)
Entrance Rank (*):35
Currently on list? (*):short
Submitted:2/6/2021 13:37:54 CDT
Last modified:2/7/2021 08:20:17 CDT
Database id:131760
Status Flags:TrialDiv
Score (*):50.6168 (normalized score 507.915)

User comments about this prime (disclaimer):

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Jeppe Stig Nielsen writes (16 Feb 2021):  (report abuse)
Gary Gostin found:
27 * 2^12184319 + 1 divides GF(12184313,8)
27 * 2^12184319 + 1 divides xGF(12184318,10,9)

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_id131760
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"27*2^12184319+1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 27*2^12184319+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 27*2^12184319+1 is prime! (65194.9766s+0.0057s) [Elapsed time: 18.11 hours]
modified2021-04-20 17:39:25
created2021-02-06 13:51:01
id177458

Query times: 0.0002 seconds to select prime, 0.0005 seconds to seek comments.
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