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(new RPS drive 5)
 
(add k-table & remove hard-coded data table)
 
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__NOTOC__
 
__NOTOC__
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*Name: [[Riesel Prime Search]] Drive 5
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==Overview==
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*Purpose: The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} ≤ 300 and {{Vn}} > 260000.
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{{Infobox Drive
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*Link: [https://www.mersenneforum.org/showthread.php?t=6597 Mersenne Forum]
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|DRProject=Riesel Prime Search
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*Started: 2006-11-12
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|DRName=RPS Drive 5
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*Ended: 2008-07-04
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|DRPurpose=Search for [[Riesel prime]]s {{Vk}} < 300 where {{Vk}} divisible by 3.
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*{{Vk}}-values:
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|DRMultiRes=
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:'''2006-11-12''': {{Vk}} = 51, 57, 117, 129, 135, 213, 237, 249, 261, 267, 273, 279, 285, 291 for 260000 &le; {{Vn}} &le; 1000000
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|DRStatus=
 +
|DRStart=2006-11-12
 +
|DREnd=2008-07-04
 +
|DRkvalues=51 - 291
 +
|DRnrange=260000 - 1000000
 +
|DRCandidates=
 +
|DRSieve=
 +
|DRPrimes=57 new, 4 confirmed
 +
|DRLink=[https://www.mersenneforum.org/showthread.php?t=6597 MersenneForum]
 +
}}
 +
==={{Vk}}-history===
 +
:'''2006-11-12''': {{Vk}} = 51, 57, 117, 129, 135, 213, 237, 249, 261, 267, 273, 279, 285, 291. See {{Vn}}-values by {{Vk}} in Data table below.
 
:'''2008-01-03''': removing {{Vk}} = 51, 57 for {{Vn}} > 870000
 
:'''2008-01-03''': removing {{Vk}} = 51, 57 for {{Vn}} > 870000
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*{{Vn}}-values: 260000 &le; {{Vn}} &le; 1000000
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==={{Vn}}-history===
 +
===Sieve history===
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===Reservation history===
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===Primes table===
 +
The data file can be found [[:File:RPS Drive 5 k-values.csv|here]].
 +
{{#get_web_data:url=https://www.rieselprime.de/z/images/c/c3/RPS_Drive_5_k-values.csv|format=csv with header|delimiter=;|data=k=k,nash=nash,cand=cand,range=range,count=count,n=n}}
 +
<div style="width:65em; height:525px; overflow:auto;">
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{| class="wikitable sortable" style="height: auto"
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! data-sort-type="number" class="fixhead" | {{Vk}}-value
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! data-sort-type="number" class="fixhead" | [[Nash weight|Nash]]
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! data-sort-type="number" class="fixhead" | Candidates
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! data-sort-type="text" class="fixhead" | {{Vn}}-range
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! data-sort-type="number" class="fixhead" | # primes
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! data-sort-type="text" class="fixhead" | prime(s) for {{Vn}} (C=confirmed)
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{{#for_external_table:<nowiki/>
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{{!}}-
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{{!}} style="text-align:right" {{!}} [[Riesel prime 2 {{{k}}}|{{{k}}}]]
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{{!}} style="text-align:right" {{!}} {{{nash}}}
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{{!}} style="text-align:right" {{!}} {{{cand}}}
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{{!}} style="text-align:right" {{!}} {{{range}}}
 +
{{!}} style="text-align:right" {{!}} {{{count}}}
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{{!}} style="text-align:left" {{!}} {{{n}}}
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}}
 +
|}</div>
  
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==Data table==
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===Notes===
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{| class="wikitable"
 
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! {{Vk}}-value !! [[Nash weight|Nash]] !! {{Vn}}-range || prime(s) for {{Vn}} (<span style="background-color:#00ffff;">confirmed</span>)
 
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|-
 
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| [[Riesel prime 2 51|51]] || {{GP|Riesel prime 2 51|RNash}} || 475000-870000 || 657705, <span style="background-color:#00ffff;">832630, 845494</span>
 
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|-
 
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| [[Riesel prime 2 57|57]] || {{GP|Riesel prime 2 57|RNash}} || 400000-870000 || 450430, 565994, 707245, <span style="background-color:#00ffff;">839446</span>
 
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|-
 
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| [[Riesel prime 2 117|117]] || {{GP|Riesel prime 2 117|RNash}} || 438000-1000000 || 511361, 560848, 697458, 834916, 877874
 
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|-
 
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| [[Riesel prime 2 129|129]] || {{GP|Riesel prime 2 129|RNash}} || 398000-1000000 || <span style="background-color:#00ffff;">398288</span>, 536615, 603488, 690893
 
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|-
 
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| [[Riesel prime 2 135|135]] || {{GP|Riesel prime 2 135|RNash}} || 300000-1000000 || 437544, 474178, 525544, 876997, 959059, 961897
 
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|-
 
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| [[Riesel prime 2 213|213]] || {{GP|Riesel prime 2 213|RNash}} || 260000-1000000 || 303670, 709727, 760942
 
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|-
 
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| [[Riesel prime 2 237|237]] || {{GP|Riesel prime 2 237|RNash}} || 260000-1000000 || 421862, 729654, 832053
 
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|-
 
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| [[Riesel prime 2 249|249]] || {{GP|Riesel prime 2 249|RNash}} || 260000-1000000 ||
 
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|-
 
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| [[Riesel prime 2 261|261]] || {{GP|Riesel prime 2 261|RNash}} || 260000-1000000 || 618918, 660709, 802123, 827599, 850383
 
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|-
 
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| [[Riesel prime 2 267|267]] || {{GP|Riesel prime 2 267|RNash}} || 300000-1000000 || 415916, 471230, 607688, 662524, 705028
 
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|-
 
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| [[Riesel prime 2 273|273]] || {{GP|Riesel prime 2 273|RNash}} || 260000-1000000 || 522287, 742930, 930663
 
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|-
 
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| [[Riesel prime 2 279|279]] || {{GP|Riesel prime 2 279|RNash}} || 260000-1000000 || 277455, 318317, 455704, 479437, 587881, 616044
 
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|-
 
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| [[Riesel prime 2 285|285]] || {{GP|Riesel prime 2 285|RNash}} || 470000-1000000 || 780300, 881240, 915913
 
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|-
 
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| [[Riesel prime 2 291|291]] || {{GP|Riesel prime 2 291|RNash}} || 260000-1000000 || 291705, 313433, 372342, 386430, 389225, 531347, 565917, 810347, 832410, 934097, 996371
 
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|}
 
−
 
 
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==Range history==
 
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
 
[[Category:Riesel Prime Search|Drive 5]]
 
[[Category:Riesel Prime Search|Drive 5]]

Latest revision as of 06:05, 30 July 2024

Overview

RPS Drive 5 - This drive is done.
Project Riesel Prime Search
Drive name RPS Drive 5
Purpose Search for Riesel primes k < 300 where k divisible by 3.
Date start 2006-11-12
Date end 2008-07-04
k-values 51 - 291
n-range 260000 - 1000000
Primes found 57 new, 4 confirmed
Link MersenneForum

k-history

2006-11-12: k = 51, 57, 117, 129, 135, 213, 237, 249, 261, 267, 273, 279, 285, 291. See n-values by k in Data table below.
2008-01-03: removing k = 51, 57 for n > 870000

n-history

Sieve history

Reservation history

Primes table

The data file can be found here.

k-value Nash Candidates n-range # primes prime(s) for n (C=confirmed)

51 1550 475000-870000 3 657705, 832630 C, 845494 C
57 2672 400000-870000 4 450430, 565994, 707245, 839446 C
117 3581 438000-1000000 5 511361, 560848, 697458, 834916, 877874
129 2753 398000-1000000 4 398288 C, 536615, 603488, 690893
135 2322 300000-1000000 6 437544, 474178, 525544, 876997, 959059, 961897
213 2538 260000-1000000 3 303670, 709727, 760942
237 2404 260000-1000000 3 421862, 729654, 832053
249 1592 260000-1000000 0
261 2394 260000-1000000 5 618918, 660709, 802123, 827599, 850383
267 2205 300000-1000000 5 415916, 471230, 607688, 662524, 705028
273 3029 260000-1000000 3 522287, 742930, 930663
279 2345 260000-1000000 6 277455, 318317, 455704, 479437, 587881, 616044
285 3331 470000-1000000 3 780300, 881240, 915913
291 1969 260000-1000000 11 291705, 313433, 372342, 386430, 389225, 531347, 565917, 810347, 832410, 934097, 996371

Notes

Riesel Prime Search
Retrieved from "https://www.rieselprime.de/z/index.php?title=RPS_Drive_5&oldid=34047"