(4073416111 - 1)/40733
|Description:||(4073416111 - 1)/40733|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized repunit|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||CH2 : Wu_T, Primo, OpenPFGW, CHG|
|Decimal Digits:||74267 (log10 is 74266.408232087)|
|Rank (*):||48189 (digit rank is 1)|
|Entrance Rank (*):||40903|
|Currently on list? (*):||short|
|Submitted:||3/9/2015 00:59:43 CDT|
|Last modified:||3/9/2015 01:20:31 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||38.6373 (normalized score 0.0036)|
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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 119521 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes Command: /home/caldwell/client/pfgw/pfgw64 -tc -q"(40734^16111-1)/40733" 2>&1 PFGW Version 18.104.22.168BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing (40734^16111-1)/40733 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 3 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.14% and helper 0.00% (0.42% proof) (40734^16111-1)/40733 is Fermat and Lucas PRP! (600.1030s+0.0017s) [Elapsed time: 10.00 minutes] modified 2020-07-07 17:30:17 created 2015-03-09 01:01:01 id 165129
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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