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(362109319 - 1)/36209
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:||(362109319 - 1)/36209|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized repunit|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||p170 : Wu_T, Primo, OpenPFGW|
|Decimal Digits:||42480 (log10 is 42479.164206239)|
|Rank (*):||61418 (digit rank is 1)|
|Entrance Rank (*):||55393|
|Currently on list? (*):||short|
|Submitted:||3/31/2019 07:32:54 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Status Flags:||Verify, TrialDiv|
|Score (*):||36.9139 (normalized score 0.0003)|
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.
- Generalized Repunit (archivable *)
- Prime on list: yes, rank 20
Subcategory: "Generalized Repunit"
(archival tag id 220195, tag last modified 2023-03-11 15:53:59)
User comments about this prime (disclaimer):
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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 126349 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tc -q"(36210^9319-1)/36209" 2>&1 PFGW Version 18.104.22.168BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing (36210^9319-1)/36209 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N-1 test using base 13 Running N+1 test using discriminant 23, base 1+sqrt(23) Calling N-1 BLS with factored part 0.07% and helper 0.02% (0.24% proof) (36210^9319-1)/36209 is Fermat and Lucas PRP! (225.4790s+0.0010s) [Elapsed time: 3.77 minutes] modified 2020-07-07 22:30:13 created 2019-03-31 07:33:01 id 172030
Query times: 0.0037 seconds to select prime, 0.0007 seconds to seek comments.
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