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3214654524288 + 1
|Description:||3214654524288 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L4309 : Kecic, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR|
|Decimal Digits:||3411613 (log10 is 3411612.3941893)|
|Rank (*):||49 (digit rank is 1)|
|Entrance Rank (*):||30|
|Currently on list? (*):||short|
|Submitted:||12/25/2019 06:02:28 CDT|
|Last modified:||12/29/2019 11:50:20 CDT|
|Score (*):||50.395 (normalized score 415.3991)|
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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 130199 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"3214654^524288+1" 2>&1 PFGW Version 22.214.171.124BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 3214654^524288+1 [N-1, Brillhart-Lehmer-Selfridge] F: 3214654^524288+1 16384/36012170 (trial factor to 1442980243) F: 3214654^524288+1 34816/36012170 (trial factor to 1442980243) F: 3214654^524288+1 53248/36012170 (trial factor to 1442980243) Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 95.37% 3214654^524288+1 is prime! (364920.2327s+0.1426s) [Elapsed time: 4.22 days] modified 2020-07-07 17:30:10 created 2019-12-25 06:11:02 id 175885
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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