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333645655005 · 235549 - 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:||333645655005 · 235549 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||Cunningham chain (4p+3)|
|Proof-code(s): (*):||p364 : Batalov, NewPGen, OpenPFGW|
|Decimal Digits:||10713 (log10 is 10712.838601332)|
|Rank (*):||80108 (digit rank is 1)|
|Entrance Rank (*):||68237|
|Currently on list? (*):||short|
|Submitted:||3/17/2015 20:32:30 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Score (*):||32.6535 (normalized score 0)|
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.
- Cunningham Chains (1st kind) (archivable class *)
- Prime on list: yes, rank 5, weight 41.716557931772
Subcategory: "Cunningham chain (4p+3)"
(archival tag id 217923, tag last modified 2023-03-11 15:53:59)
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 119563 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 333645655005*2^35549-1 2>&1 Starting Lucas Lehmer Riesel prime test of 333645655005*2^35549-1 Using zero-padded AVX FFT length 4K V1 = 15 ; Computing U0... V1 = 15 ; Computing U0...done.Starting Lucas-Lehmer loop... 333645655005*2^35549-1 is prime! (10713 decimal digits) Time : 1.156 sec. [Elapsed time: 1.00 seconds] modified 2020-07-07 22:30:17 created 2015-03-17 20:41:01 id 165171
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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