4125 · 21445205 - 1
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: | 4125 · 21445205 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Arithmetic progression (2,d=4125*2^1445205-2723880039837*2^1290000) [p199] |
| Proof-code(s): (*): | L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR |
| Decimal Digits: | 435054 (log10 is 435053.67030752) |
| Rank (*): | 14629 (digit rank is 2) |
| Entrance Rank (*): | 1581 |
| Currently on list? (*): | yes |
| Submitted: | 10/13/2014 21:15:11 UTC |
| Last modified: | 5/20/2023 20:59:19 UTC |
| Database id: | 118622 |
| Status Flags: | none |
| Score (*): | 44.0776 (normalized score 0.2547) |
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.
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: yes, rank 1
Subcategory: "2/3"
(archival tag id 229841, tag last modified 2025-01-18 22:37:22)
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 118622 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 4125*2^1445205-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4125*2^1445205-1 Using AVX FFT length 112K, Pass1=448, Pass2=256 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 4125*2^1445205-1 is prime! (435054 decimal digits) Time : 760.146 sec. [Elapsed time: 12.67 minutes] modified 2020-07-07 22:30:17 created 2014-10-13 21:21:01 id 164204
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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