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

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This prime's information:

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, OpenPFGW, Primo
Decimal Digits:276344   (log10 is 276343.8682702)
Rank (*):24204 (digit rank is 1)
Entrance Rank (*):9662
Currently on list? (*):no
Submitted:8/12/2014 11:54:42 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:118332
Status Flags:Verify
Score (*):42.6828 (normalized score 0.1018)

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 143
Subcategory: "Generalized Unique"
(archival tag id 224207, tag last modified 2023-12-18 15:37:22)

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.
fieldvalue
prime_id118332
person_id9
machineXeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"Phi(5,(1121302646*16001#/5+1)*(28633*16001#-1)^9)" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [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 22:30:17
created2014-08-12 12:11:50
id163903

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