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80284312131072 + 1
|Description:||80284312131072 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Proof-code(s): (*):||L5051 : Veit, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR|
|Decimal Digits:||1036076 (log10 is 1036075.753802)|
|Rank (*):||524 (digit rank is 1)|
|Entrance Rank (*):||433|
|Currently on list? (*):||short|
|Submitted:||11/17/2020 13:58:23 CDT|
|Last modified:||11/17/2020 22:20:11 CDT|
|Score (*):||46.7417 (normalized score 10.7615)|
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 131406 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"80284312^131072+1" 2>&1 PFGW Version 188.8.131.52BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 80284312^131072+1 [N-1, Brillhart-Lehmer-Selfridge] F: 80284312^131072+1 57344/10907928 (trial factor to 409508040) F: 80284312^131072+1 116736/10907928 (trial factor to 409508040) F: 80284312^131072+1 178176/10907928 (trial factor to 409508040) F: 80284312^131072+1 239616/10907928 (trial factor to 409508040) F: 80284312^131072+1 299008/10907928 (trial factor to 409508040) Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 88.58% 80284312^131072+1 is prime! (28811.7391s+0.0108s) [Elapsed time: 8.00 hours] modified 2021-04-20 17:39:26 created 2020-11-17 14:01:02 id 177099
Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
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