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217 · 22264546 + 1
|Description:||217 · 22264546 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||[none]|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L3179 : Hamada, PSieve, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||681699 (log10 is 681698.60902062)|
|Rank (*):||1624 (digit rank is 1)|
|Entrance Rank (*):||269|
|Currently on list? (*):||yes|
|Submitted:||9/18/2014 11:46:15 CDT|
|Last modified:||9/18/2014 13:31:30 CDT|
|Score (*):||45.457 (normalized score 3.5187)|
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 118515 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"217*2^2264546+1" 2>&1 PFGW Version 18.104.22.168BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 217*2^2264546+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 217*2^2264546+1 is prime! (1918.0718s+0.0009s) [Elapsed time: 31.97 minutes] modified 2020-07-07 17:30:17 created 2014-09-18 11:51:00 id 164094
Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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