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2316765173284 · 3593# + 16069
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:||2316765173284 · 3593# + 16069|
|Verification status (*):||PRP|
|Official Comment (*):||Quintuplet (4), ECPP|
|Proof-code(s): (*):||c18 : Luhn, Primo|
|Decimal Digits:||1543 (log10 is 1542.7749052196)|
|Rank (*):||107005 (digit rank is 2)|
|Entrance Rank (*):||93762|
|Currently on list? (*):||short|
|Submitted:||10/15/2016 19:33:14 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Status Flags:||Verify, TrialDiv|
|Score (*):||26.6272 (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.
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 962
(archival tag id 218463, tag last modified 2023-03-11 16:02:30)
- Quintuplet (archivable class *)
- Prime on list: yes, rank 5
Subcategory: "Quintuplet (4)"
(archival tag id 218464, 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 122377 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes Command: /home/caldwell/client/pfgw/pfgw64 -tc -q"2316765173284*3593#+16069" 2>&1 PFGW Version 184.108.40.206BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2316765173284*3593#+16069 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 19, base 1+sqrt(19) Calling N-1 BLS with factored part 0.64% and helper 0.25% (2.24% proof) 2316765173284*3593#+16069 is Fermat and Lucas PRP! (0.4368s+0.0005s) [Elapsed time: 1.00 seconds] modified 2020-07-07 22:30:16 created 2016-10-15 19:42:51 id 168022
Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
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