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(424179337 - 1)/42416
|Description:||(424179337 - 1)/42416|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized repunit|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||p170 : Wu_T, Primo, OpenPFGW|
|Decimal Digits:||43203 (log10 is 43202.71297596)|
|Rank (*):||56958 (digit rank is 1)|
|Entrance Rank (*):||50603|
|Currently on list? (*):||short|
|Submitted:||11/1/2015 01:32:35 CDT|
|Last modified:||11/1/2015 01:50:31 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||36.966 (normalized score 0.0007)|
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 120509 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes Command: /home/caldwell/client/pfgw/pfgw64 -tc -q"(42417^9337-1)/42416" 2>&1 PFGW Version 188.8.131.52BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing (42417^9337-1)/42416 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N+1 test using discriminant 71, base 5+sqrt(71) Calling N-1 BLS with factored part 0.18% and helper 0.00% (0.54% proof) (42417^9337-1)/42416 is Fermat and Lucas PRP! (157.3114s+0.0010s) [Elapsed time: 2.62 minutes] modified 2020-07-07 17:30:17 created 2015-11-01 01:41:02 id 166138
Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
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