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342267065536 + 1
|Description:||342267065536 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Proof-code(s): (*):||p316 : Yama, GeneFer, AthGFNSieve, PrimeGrid, OpenPFGW|
|Decimal Digits:||428237 (log10 is 428236.14649065)|
|Rank (*):||6317 (digit rank is 1)|
|Entrance Rank (*):||1231|
|Currently on list? (*):||no|
|Submitted:||1/18/2014 02:53:58 CDT|
|Last modified:||1/18/2014 12:20:57 CDT|
|Removed (*):||8/26/2019 04:19:41 CDT|
|Score (*):||44.0291 (normalized score 0.8195)|
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
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 116929 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"3422670^65536+1" 2>&1 PFGW Version 184.108.40.206BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3422670^65536+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 77.39% 3422670^65536+1 is prime! (31235.7142s+0.0483s) [Elapsed time: 8.68 hours] modified 2020-07-07 17:30:18 created 2014-01-18 03:23:01 id 162440
Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
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