# 27 · 212184319 + 1

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#### This prime's information:

Description: 27 · 212184319 + 1 Proven [none] This prime has 1 user comment below. L4965 : Propper, LLR 3667847   (log10 is 3667846.9271023) 54 (digit rank is 1) 35 short 2/6/2021 13:37:54 CDT 2/7/2021 08:20:17 CDT 131760 TrialDiv 50.6168 (normalized score 403.6632)

#### 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: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.