8205 · 21319365 + 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:||8205 · 21319365 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||[none]|
|Proof-code(s): (*):||L2603 : Hoffman, PSieve, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||397173 (log10 is 397172.35430779)|
|Rank (*):||12418 (digit rank is 1)|
|Entrance Rank (*):||2297|
|Currently on list? (*):||no|
|Submitted:||2/25/2015 22:29:23 UTC|
|Last modified:||5/20/2023 20:59:19 UTC|
|Removed (*):||2/14/2018 12:50:41 UTC|
|Score (*):||43.7977 (normalized score 0.3712)|
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 119446 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"8205*2^1319365+1" 2>&1 PFGW Version 126.96.36.199BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 8205*2^1319365+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 8205*2^1319365+1 is prime! (655.6749s+0.0006s) [Elapsed time: 10.93 minutes] modified 2020-07-07 22:30:17 created 2015-02-25 22:31:01 id 165052
Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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