primV(11808)
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: | primV(11808) |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Lucas primitive part |
| Proof-code(s): (*): | DK : Dubner, Keller, Cruncher |
| Decimal Digits: | 1606 (log10 is 1605.0250771198) |
| Rank (*): | 112385 (digit rank is 17) |
| Entrance Rank (*): | 4880 |
| Currently on list? (*): | no |
| Submitted: | 7/1995 |
| Last modified: | 2/4/2026 10:23:24 UTC |
| Database id: | 38601 |
| Status Flags: | none |
| Score (*): | 26.7507 (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 primitive part (archivable *)
- Prime on list: no, rank 124
Subcategory: "Lucas primitive part"
(archival tag id 195697, tag last modified 2024-10-11 22:37:11)
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 38601 person_id 9 machine Using: Digital Ocean Droplet what prime notes PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 1059441838...3316377601 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper_1100000000310139811.txt
trial
Running N-1 test using base 37
Generic modular reduction using generic reduction FMA3 FFT length 512 on A 5332-bit number
Running N+1 test using discriminant 53, base 4+sqrt(53)
Generic modular reduction using generic reduction FMA3 FFT length 512 on A 5332-bit number
Calling N-1 BLS with factored part 41.34% and helper 0.69% (124.74% proof)
1059441838...3316377601 is prime! (0.1862s+0.0003s)
[Elapsed time: 5.00 seconds]
Helper File:
2
3
5
7
11
13
17
19
23
29
31
41
47
61
83
107
127
167
211
223
241
281
383
421
449
503
641
769
1009
1087
1103
1427
1601
2161
2207
2521
2689
3041
3167
4481
7681
14503
15361
18143
20641
31249
40961
103681
119809
885503
1359361
1461601
5662847
6803327
11277503
21801023
35239681
65740583
215296703
233210881
281490241
416187743
764940961
1368322369
1769526527
10745088481
10749957121
19073614849
186812208641
40560098942237465556747893775612887...(96 digits)...43374012079084824216226036707123647
10212497762794624073474270529086495...(113 digits)...46957740926235528660257230687861761
57598640345962864054003520654613279...(130 digits)...53100074075895673241636298468425407
94390302833modified 2026-02-04 10:23:24 created 2026-02-04 10:23:14 id 187689
field value prime_id 38601 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Reading factors from helper file helper Error opening file helper Running N-1 test using base 37 Primality testing primV(11808) [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 10.07% primV(11808) is PRP! (10.390000 seconds) modified 2003-03-25 17:22:48 created 2003-01-07 05:09:47 id 63872
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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