V(5851)
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(5851) |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Lucas number |
| Proof-code(s): (*): | DK : Dubner, Keller, Cruncher |
| Decimal Digits: | 1223 (log10 is 1222.7866831026) |
| Rank (*): | 116869 (digit rank is 13) |
| Entrance Rank (*): | 7246 |
| Currently on list? (*): | no |
| Submitted: | 3/4/1995 05:59:59 UTC |
| Last modified: | 3/13/2023 06:44:41 UTC |
| Database id: | 46236 |
| Status Flags: | none |
| Score (*): | 25.901 (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 22
Subcategory: "Lucas Number"
(archival tag id 179795, 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.
field value prime_id 46236 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -tc -hhelper.php?id=1000000000014255875 -q"V(5851)" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing V(5851) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.php?id=1000000000014255875
Running N-1 test using base 2
Running N-1 test using base 7
Running N+1 test using discriminant 41, base 1+sqrt(41)
Calling N-1 BLS with factored part 33.55% and helper 19.87% (120.56% proof)
V(5851) is prime! (1.0569s+0.0014s)
[Elapsed time: 1.00 seconds]
Helper File:
2
3
11
19
31
43
79
101
131
151
181
281
307
521
541
859
1171
1951
2081
2731
3251
5851
12301
18451
19891
24571
29251
87751
221401
471901
843701
866581
978347
7907723
15252467
15608701
26454871
29134601
37928281
81613351
186313849
664845721
3336915203
4632223051
4692901883
9817809301
722601451307
1220563279627
3467131047901
239315840033401
1052645985555841
3558039391073701
179719596819308083
653428852236184051
1041361597614804929
1405116525350034901
8817022471549558501
14590556568276009782648851
5
13
17
29
37
61
89
113
199
233
419
1301
2341
3001
3457
9349
11701
29717
38039
42293
109441
117041
135721
229769
988681
4235401
4832521
9321929
36999271
230686501
605416501
880262501
10694421739
14736206161
20669776469
22276861069
39589685693
2152958650459
475966345230891901
11981661982050957053616001modified 2023-03-13 06:44:41 created 2023-03-13 06:44:40 id 181563
field value prime_id 46236 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing V(5851) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 41, base 1+sqrt(41) Calling N-1 BLS with factored part 6.75% and helper 6.25% (26.49% proof) V(5851) is Fermat and Lucas PRP! (19.750000 seconds) modified 2003-03-25 17:23:01 created 2003-01-04 16:48:08 id 61221
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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