566761969187 · 4733#/2 + 4
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:||566761969187 · 4733#/2 + 4|
|Verification status (*):||PRP|
|Official Comment (*):||Quintuplet (5)|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c67 : Batalov, NewPGen, OpenPFGW, Primo|
|Decimal Digits:||2034 (log10 is 2033.9154042507)|
|Rank (*):||101770 (digit rank is 2)|
|Entrance Rank (*):||99014|
|Currently on list? (*):||short|
|Submitted:||12/6/2020 22:47:09 CDT|
|Last modified:||12/6/2020 23:20:11 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||27.4896 (normalized score 0)|
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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 131448 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tc -q"566761969187*4733#/2+4" 2>&1 PFGW Version 220.127.116.11BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 566761969187*4733#/2+4 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 3 Running N-1 test using base 7 Running N-1 test using base 11 Running N-1 test using base 19 Running N-1 test using base 23 Running N-1 test using base 31 Running N-1 test using base 43 Running N+1 test using discriminant 59, base 74+sqrt(59) Calling N+1 BLS with factored part 0.06% and helper 0.03% (0.22% proof) 566761969187*4733#/2+4 is Fermat and Lucas PRP! (0.5311s+0.0002s) [Elapsed time: 1.00 seconds] modified 2021-04-20 17:39:26 created 2020-12-06 22:51:02 id 177141