391581 · 2216193 - 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:||391581 · 2216193 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||[none]|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||Z : Brown, Noll, Parady, Smith_Gene, Smith_Joel, Zarantonello|
|Decimal Digits:||65087 (log10 is 65086.170674194)|
|Rank (*):||54205 (digit rank is 1)|
|Entrance Rank (*):||1|
|Currently on list? (*):||no|
|Submitted:||1/1/1990 05:59:59 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Removed (*):||2/2/2006 16:11:00 UTC|
|Score (*):||38.2305 (normalized score 0.0014)|
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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 390 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 391581*2^216193-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 391581*2^216193-1 is prime! (1834.117000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7) modified 2003-03-25 17:24:23 created 2002-12-24 13:25:23 id 48159
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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