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213 · 22277870 - 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:||213 · 22277870 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||[none]|
|Proof-code(s): (*):||L1863 : Wozny, PSieve, Srsieve, Rieselprime, LLR|
|Decimal Digits:||685710 (log10 is 685709.52460272)|
|Rank (*):||3341 (digit rank is 1)|
|Entrance Rank (*):||704|
|Currently on list? (*):||yes|
|Submitted:||5/9/2017 09:15:03 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Score (*):||45.475 (normalized score 2.0235)|
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 123356 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 213*2^2277870-1 2>&1 Starting Lucas Lehmer Riesel prime test of 213*2^2277870-1 Using AVX FFT length 140K, Pass1=448, Pass2=320 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 213*2^2277870-1 is prime! (685710 decimal digits) Time : 1536.164 sec. [Elapsed time: 25.60 minutes] modified 2020-07-07 22:30:16 created 2017-05-09 09:21:01 id 169007
Query times: 0.0006 seconds to select prime, 0.0004 seconds to seek comments.
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