V(4793)

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

Description:V(4793)
Verification status (*):Proven
Official Comment (*):Lucas number
Proof-code(s): (*):DK : Dubner, Keller, Cruncher
Decimal Digits:1002   (log10 is 1001.6777597182)
Rank (*):132448 (digit rank is 14)
Entrance Rank (*):9692
Currently on list? (*):no
Submitted:3/4/1995 05:59:59 UTC
Last modified:3/12/2023 20:52:03 UTC
Database id:58776
Status Flags:none
Score (*):25.2772 (normalized score 0)

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.
Lucas Number (archivable *)
Prime on list: no, rank 23
Subcategory: "Lucas Number"
(archival tag id 179797, tag last modified 2023-12-16 03:37:32)

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_id58776
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -tc -hhelper.php?id=1000000000014254817 -q"V(4793)" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing V(4793) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.php?id=1000000000014254817
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 74.90% and helper 3.82% (228.55% proof)


V(4793) is prime! (0.8650s+0.0013s)
[Elapsed time: 1.00 seconds]


Helper File:
2
3
5
1597
4793
7187
100673
108289
1435097
6376021
89228239
142017737
2971215073
3318023281
132987878707
20027439434269
4304994428485397
5720454836157299772287407105267
13257069969913704640807899935548009
9858624353001128920208414835866447607009753854238077581
3098037115673331319837279938413799675926967687690564696349
552087064158419374947426751986111445101908649705091474880309
27587020910623130015766794809698607...(90 digits)...10717613943618464079268227501016661
15854002189757265085147013538609001...(110 digits)...40200746820524754308402582035485933
14199776217344102290923144991621564...(205 digits)...18042388427355976195638179635110467
7
919
3469
3571
23971
81463
79099591
6643838879
modified2023-03-12 20:52:03
created2023-03-12 20:52:02
id181557

fieldvalue
prime_id58776
person_id9
machineLinux PII 200
whatprp
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing V(4793) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N-1 BLS with factored part 2.19% and helper 2.07% (8.72% proof) V(4793) is Fermat and Lucas PRP! (8.700000 seconds)
modified2003-03-25 17:23:05
created2003-01-04 05:13:35
id60256

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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