404849 · 213764867 + 1

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Description:404849 · 213764867 + 1
Verification status (*):Proven
Official Comment (*):Generalized Cullen
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4976 : Propper, Batalov, Gcwsieve, LLR
Decimal Digits:4143644   (log10 is 4143643.4606183)
Rank (*):31 (digit rank is 1)
Entrance Rank (*):28
Currently on list? (*):short
Submitted:3/10/2021 19:42:15 CDT
Last modified:3/12/2021 10:50:10 CDT
Database id:132142
Status Flags:TrialDiv
Score (*):50.9903 (normalized score 687.8699)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Cullen (archivable *)
Prime on list: yes, rank 2
Subcategory: "Generalized Cullen"
(archival tag id 226069, tag last modified 2021-09-01 15:37:16)

User comments about this prime (disclaimer):

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Serge Batalov writes (10 Mar 2021):  (report abuse)
This Generalized Cullen number can be written as 809698 * 131072809698 + 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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/4/pfgw64 -t -q"404849*2^13764867+1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 404849*2^13764867+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 404849*2^13764867+1 is prime! (139750.8016s+0.0067s) [Elapsed time: 1.62 days]
modified2021-04-20 17:39:24
created2021-03-10 19:46:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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