Phi(5, (1121302646 · 16001#/5 + 1) · (28633 · 16001# - 1)9)

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Description:Phi(5, (1121302646 · 16001#/5 + 1) · (28633 · 16001# - 1)9)
Verification status (*):PRP
Official Comment (*):Generalized unique
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x38 : Broadhurst, Primo, OpenPFGW
Decimal Digits:276344   (log10 is 276343.8682702)
Rank (*):18146 (digit rank is 1)
Entrance Rank (*):9662
Currently on list? (*):no
Submitted:8/12/2014 06:54:42 CDT
Last modified:8/12/2014 09:51:39 CDT
Database id:118332
Status Flags:Verify, TrialDiv
Score (*):42.6828 (normalized score 0.2084)

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 Unique (archivable *)
Prime on list: no, rank 131
Subcategory: "Generalized Unique"
(archival tag id 224207, tag last modified 2020-08-04 13:50:04)

User comments about this prime (disclaimer):

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David Broadhurst writes (11 Sep 2014):  (report abuse)
CHG proof with 27.5% factorization

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.
machineXeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"Phi(5,(1121302646*16001#/5+1)*(28633*16001#-1)^9)" 2>&1 PFGW Version [GWNUM 27.11] Primality testing Phi(5,(1121302646*16001#/5+1)*(28633*16001#-1)^9) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 16033 Running N+1 test using discriminant 16111, base 1+sqrt(16111) Calling N-1 BLS with factored part 2.50% and helper 0.00% (7.51% proof) Phi(5,(1121302646*16001#/5+1)*(28633*16001#-1)^9) is Fermat and Lucas PRP! (9219.7100s+0.0594s) [Elapsed time: 2.56 hours]
modified2020-07-07 17:30:17
created2014-08-12 07:11:50

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