664342014133 · 239840 - 59
|Description:||664342014133 · 239840 - 59|
|Verification status (*):||PRP|
|Official Comment (*):||Consecutive primes arithmetic progression (1,d=30), ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c93 : Batalov, PolySieve, Primo|
|Decimal Digits:||12005 (log10 is 12004.857418972)|
|Rank (*):||74886 (digit rank is 3)|
|Entrance Rank (*):||74338|
|Currently on list? (*):||short|
|Submitted:||4/27/2020 11:48:19 CDT|
|Last modified:||4/27/2020 12:20:24 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||33.0063 (normalized score 0)|
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.
- Consecutive Primes in Arithmetic Progression (archivable class *)
- Prime on list: yes, rank 1
Subcategory: "Consecutive primes in arithmetic progression (1,d=*)"
(archival tag id 223987, tag last modified 2020-04-27 12:20:26)
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: no, rank 104
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 223988, tag last modified 2020-04-27 12:20:24)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 126
(archival tag id 223989, tag last modified 2020-11-23 19:50:21)
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 130863 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tc -q"664342014133*2^39840-59" 2>&1 PFGW Version 18.104.22.168BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 664342014133*2^39840-59 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N+1 BLS with factored part 0.06% and helper 0.05% (0.22% proof) 664342014133*2^39840-59 is Fermat and Lucas PRP! (3.7894s+0.0002s) [Elapsed time: 4.00 seconds] modified 2020-07-07 17:30:10 created 2020-04-27 11:51:02 id 176548
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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