This site will be down for maintenance beginning noon CDT (5pm UTC) Wed April 14
43163894131072 + 1
|Description:||43163894131072 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L4334 : Miller5, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR|
|Decimal Digits:||1000751 (log10 is 1000750.52955679)|
|Rank (*):||924 (digit rank is 1)|
|Entrance Rank (*):||154|
|Currently on list? (*):||short|
|Submitted:||2/25/2016 07:08:28 CDT|
|Last modified:||2/25/2016 13:50:19 CDT|
|Score (*):||46.6353 (normalized score 9.6817)|
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):
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 121288 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"43163894^131072+1" 2>&1 PFGW Version 220.127.116.11BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 43163894^131072+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 96.06% 43163894^131072+1 is prime! (22237.4324s+0.0333s) [Elapsed time: 6.18 hours] modified 2020-07-07 17:30:16 created 2016-02-25 07:11:01 id 166923
Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.