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87 · 224582 - 1
|Description:||87 · 224582 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||Consecutive primes arithmetic progression (1,d=1290) [c31]|
|Proof-code(s): (*):||g106 : Kuechler, Proth.exe|
|Decimal Digits:||7402 (log10 is 7401.8588726646)|
|Rank (*):||79061 (digit rank is 3)|
|Entrance Rank (*):||4223|
|Currently on list? (*):||no|
|Submitted:||2/18/1999 18:02:51 CDT|
|Last modified:||2/18/1999 18:02:51 CDT|
|Score (*):||31.5071 (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.
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: no, rank 144
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 194612, tag last modified 2020-04-27 12:20:24)
- Consecutive Primes in Arithmetic Progression (archivable class *)
- Prime on list: no, rank 16
Subcategory: "Consecutive primes in arithmetic progression (1,d=*)"
(archival tag id 194611, tag last modified 2020-04-27 12:20:26)
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 20348 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 87*2^24582-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 87*2^24582-1 is prime! (18.848000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 5, base 1+sqrt(5) modified 2003-03-25 11:25:32 created 2002-12-09 12:41:06 id 34484
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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