1103 · 23558177 - 503 · 21092022 - 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: | 1103 · 23558177 - 503 · 21092022 - 1 |
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Verification status (*): | PRP |
Official Comment (*): | Arithmetic progression (3,d=1103*2^3558176-503*2^1092022) |
Unofficial Comments: | This prime has 1 user comment below. |
Proof-code(s): (*): | p423 : Propper, Batalov, EMsieve, OpenPFGW |
Decimal Digits: | 1071122 (log10 is 1071121.0494572) |
Rank (*): | 1524 (digit rank is 1) |
Entrance Rank (*): | 632 |
Currently on list? (*): | yes |
Submitted: | 12/31/2022 06:34:21 UTC |
Last modified: | 5/20/2023 20:59:19 UTC |
Database id: | 134715 |
Status Flags: | Verify |
Score (*): | 46.8438 (normalized score 5.5956) |
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, weight 54.757167724718
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 227482, tag last modified 2023-03-11 16:02:32)
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 134715 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tp -q"1103*2^3558177-503*2^1092022-1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 1103*2^3558177-503*2^1092022-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 30.69%
1103*2^3558177-503*2^1092022-1 is Lucas PRP! (90141.2018s+0.1424s)
[Elapsed time: 25.04 hours]modified 2023-01-01 07:37:23 created 2022-12-31 06:35:01 id 180495
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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