728192 + 438192
|Description:||728192 + 438192|
|Verification status (*):||PRP|
|Official Comment (*):||ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c60 : Lemsafer, Primo|
|Decimal Digits:||15216 (log10 is 15215.267810765)|
|Rank (*):||70521 (digit rank is 1)|
|Entrance Rank (*):||55911|
|Currently on list? (*):||no|
|Submitted:||10/16/2012 00:05:50 CDT|
|Last modified:||10/16/2012 00:20:30 CDT|
|Score (*):||33.7402 (normalized score 0)|
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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 109871 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -tc -q"72^8192+43^8192" 2>&1 PFGW Version 220.127.116.11BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 72^8192+43^8192 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 13, base 10+sqrt(13) Calling N+1 BLS with factored part 0.07% and helper 0.03% (0.24% proof) 72^8192+43^8192 is Fermat and Lucas PRP! (89.6369s+0.0007s) [Elapsed time: 90.00 seconds] modified 2020-07-07 17:30:23 created 2012-10-16 00:08:01 id 149533
field value prime_id 109871 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"72^8192+43^8192" 2>&1 PFGW Version 18.104.22.168BIT.20110215.x86_Dev [GWNUM 26.5] 72^8192+43^8192 1/1 mro=0 trial factoring to 4520445 72^8192+43^8192 has no small factor. [Elapsed time: 5.979 seconds] modified 2020-07-07 17:30:23 created 2012-10-16 00:18:02 id 149534
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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