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176660 · 18353320 - 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:||176660 · 18353320 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Woodall|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||p325 : Broadhurst, Gcwsieve, MultiSieve, OpenPFGW|
|Decimal Digits:||443519 (log10 is 443518.12864132)|
|Rank (*):||9891 (digit rank is 1)|
|Entrance Rank (*):||263|
|Currently on list? (*):||short|
|Submitted:||9/20/2011 17:36:31 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Score (*):||44.1368 (normalized score 0.532)|
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 Woodall (archivable *)
- Prime on list: yes, rank 18
Subcategory: "Generalized Woodall"
(archival tag id 213493, tag last modified 2023-03-11 15:53:59)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 102110 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/pfgw -tp -q"176660*18^353320-1" 2>&1 PFGW Version 18.104.22.168BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 176660*18^353320-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13, base 1+sqrt(13) Calling Brillhart-Lehmer-Selfridge with factored part 76.02% 176660*18^353320-1 is prime! (51853.2647s+0.0240s) [Elapsed time: 14.40 hours] modified 2020-07-07 22:30:30 created 2011-09-20 17:38:01 id 133786
field value prime_id 102110 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 176660 18 353320 -1 2>&1 [Elapsed time: 9.426 seconds] modified 2020-07-07 22:30:30 created 2011-09-20 17:48:01 id 133787
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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