V(4787)
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(4787) |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Lucas number |
| Proof-code(s): (*): | DK : Dubner, Keller, Cruncher |
| Decimal Digits: | 1001 (log10 is 1000.4238338766) |
| Rank (*): | 132593 (digit rank is 18) |
| Entrance Rank (*): | 9708 |
| Currently on list? (*): | no |
| Submitted: | 3/4/1995 05:59:59 UTC |
| Last modified: | 3/12/2023 20:50:16 UTC |
| Database id: | 58825 |
| Status Flags: | none |
| Score (*): | 25.2733 (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 24
Subcategory: "Lucas Number"
(archival tag id 179798, 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 58825 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -tc -hhelper.php?id=1000000000014254811 -q"V(4787)" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing V(4787) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.php?id=1000000000014254811
Running N-1 test using base 3
Running N-1 test using base 7
Running N-1 test using base 23
Running N+1 test using discriminant 41, base 1+sqrt(41)
Calling N-1 BLS with factored part 52.99% and helper 50.05% (209.03% proof)
V(4787) is prime! (2.4706s+0.0093s)
[Elapsed time: 3.00 seconds]
Helper File:
2
3
83
107
227
281
683
1427
4787
20521
26449
30323
47881
978347
1461601
2360483
4483163
29134601
186313849
212067587
764940961
2576868083
3336915203
460289405267
486077598803
186882319815221
3921659181245119
6368731219987307
129619845347362523
324968740886536921
2608509549583653221689
55178337066529867890457879347065097397315177033672963849
18612603404226292416940704600692110...(235 digits)...26571314230776632438586505138344809
5
13
17
19
29
37
113
211
229
421
797
1009
2393
3457
4789
6841
9349
28729
31249
40699
42293
54833
95419
162451
519499
1617661
35239681
7038398989
10694421739
561434197549
2152958650459
3253246620499
3840318083449
351301301942501
8603290062529471
5741461760879844361
252171167457207277136719
1059009573400125529504166094598642626708730201
134165642587156910740228608871391655589962996376961241410895850450896589834123016292571
10509238882573877640006342354679552...(133 digits)...18548147824272457277166452678362857modified 2023-03-12 20:50:16 created 2023-03-12 20:50:13 id 181556
field value prime_id 58825 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 3 Primality testing V(4787) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 8+sqrt(7) Calling N+1 BLS with factored part 7.61% and helper 3.79% (26.69% proof) V(4787) is Fermat and Lucas PRP! (10.870000 seconds) modified 2003-03-25 17:23:05 created 2003-01-04 05:21:41 id 60362
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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