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45570624131072 + 1
|Description:||45570624131072 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L4295 : Splain, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR|
|Decimal Digits:||1003840 (log10 is 1003839.15709973)|
|Rank (*):||622 (digit rank is 1)|
|Entrance Rank (*):||231|
|Currently on list? (*):||short|
|Submitted:||3/18/2017 20:34:30 CDT|
|Last modified:||3/19/2017 03:20:24 CDT|
|Score (*):||46.6447 (normalized score 11.6467)|
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.
User comments about this prime (disclaimer):
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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 123169 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"45570624^131072+1" 2>&1
PFGW Version 188.8.131.52BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 45570624^131072+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 56.59%
45570624^131072+1 is prime! (22248.8015s+0.0249s)
[Elapsed time: 6.18 hours]
modified 2017-03-31 15:53:56 created 2017-03-18 20:41:01 id 168815
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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