U(81839)
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: | U(81839) |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Fibonacci number |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | p54 : Broadhurst, Water, OpenPFGW |
| Decimal Digits: | 17103 (log10 is 17102.990005416) |
| Rank (*): | 75770 (digit rank is 1) |
| Entrance Rank (*): | 6137 |
| Currently on list? (*): | short |
| Submitted: | 4/22/2001 22:31:02 UTC |
| Last modified: | 3/13/2023 09:29:46 UTC |
| Database id: | 11084 |
| Status Flags: | none |
| Score (*): | 34.1021 (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.
- Fibonacci Number (archivable *)
- Prime on list: yes, rank 5
Subcategory: "Fibonacci Number"
(archival tag id 192403, tag last modified 2023-09-15 17:37:10)
User comments about this prime (disclaimer):
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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 11084 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -tc -hhelper.php?id=1000000000012331863 -q"U(81839)" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing U(81839) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.php?id=1000000000012331863
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 15+sqrt(19)
Calling N-1 BLS with factored part 39.40% and helper 7.11% (125.32% proof)
U(81839) is prime! (54.0652s+0.0054s)
[Elapsed time: 54.00 seconds]modified 2023-03-13 09:29:46 created 2023-03-13 09:28:52 id 181576
field value prime_id 11084 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality Running N-1 test using base 13 6190190651...7214446561 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 19, base 15+sqrt(19) Calling N-1 BLS with factored part 1.49% and helper 0.39% (4.87% proof) U(81839) is Fermat and Lucas PRP! (771.352704 seconds) modified 2003-03-25 17:21:50 created 2003-01-21 04:50:28 id 66946
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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