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Difference between revisions of "Carol-Kynea prime 2"

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m (Karbon moved page Carol-Kynea base 2 to Carol-Kynea prime 2 without leaving a redirect: name)
(2020-10-06)
 
(14 intermediate revisions by 2 users not shown)
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−
{{CarolKyneaBase
+
{{Carol-Kynea prime
 
|CKBase=2
 
|CKBase=2
−
|CKMaxn=765831
+
|CKMaxn=768870
−
|CKDate=2018-11-12
+
|CKDate=2020-10-06
−
|CKReserved=Dylan14
+
|CKReserved=
−
|CKClist=2, 3, 4, 6, 7, 10, 12, 15, 18, 19, 21, 25, 27, 55, 129, 132, 159, 171, 175, 315, 324, 358, 393, 435, 786, 1459, 1707, 2923, 6462, 14289, 39012, 51637, 100224, 108127, 110953, 175749, 185580, 226749, 248949, 253987, 520363, 653490, 688042, 695631
+
|CKClist=
−
|CKKlist=1, 2, 3, 5, 8, 9, 12, 15, 17, 18, 21, 23, 27, 32, 51, 65, 87, 180, 242, 467, 491, 501, 507, 555, 591, 680, 800, 1070, 1650, 2813, 3281, 4217, 5153, 6287, 6365, 10088, 10367, 37035, 45873, 69312, 102435, 106380, 108888, 110615, 281621, 369581, 376050, 442052, 621443, 661478
+
2
 +
3
 +
4
 +
6
 +
7
 +
10
 +
12
 +
15
 +
18
 +
19
 +
21
 +
25
 +
27
 +
55
 +
129
 +
132
 +
159
 +
171
 +
175
 +
315
 +
324
 +
358
 +
393
 +
435
 +
786
 +
1459
 +
1707
 +
2923
 +
6462
 +
14289
 +
39012
 +
51637
 +
100224;68426
 +
108127;70044
 +
110953;68504
 +
175749;71961
 +
185580;72288
 +
226749;73109
 +
248949;77385
 +
253987;80384
 +
520363
 +
653490;121779
 +
688042;121867
 +
695631;121905
 +
|CKKlist=
 +
1
 +
2
 +
3
 +
5
 +
8
 +
9
 +
12
 +
15
 +
17
 +
18
 +
21
 +
23
 +
27
 +
32
 +
51
 +
65
 +
87
 +
180
 +
242
 +
467
 +
491
 +
501
 +
507
 +
555
 +
591
 +
680
 +
800
 +
1070
 +
1650
 +
2813
 +
3281
 +
4217
 +
5153
 +
6287
 +
6365
 +
10088
 +
10367
 +
37035
 +
45873
 +
69312
 +
102435;68943
 +
106380;69438
 +
108888;68958
 +
110615;68900
 +
281621;75878
 +
369581
 +
376050
 +
442052
 +
621443
 +
661478;121801
 +
852770;126646
 
|CKRemarks=
 
|CKRemarks=
 
}}
 
}}
−
[[Category:Carol-Kynea prime|#.....00002]]
+
==History for both types==
 +
{{HistC|2020-10-06|Nothing|Dylan Delgado|559048}}, released
 +
{{HistF|2019-07-14|852770|Ryan Propper|521625}}
 +
{{HistC|2018-12-13|768870|Dylan Delgado|502597}}
 +
{{HistC|2018-11-12|765831|Dylan Delgado|500154}}
 +
{{HistC|2018-05-02|760000|Mark Rodenkirch|486813}}
 +
{{HistC|2016-09-19|750000|Mark Rodenkirch|442969}}
 +
{{HistC|2016-08-27|725000|Mark Rodenkirch|440869}}
 +
{{HistC|2016-07-22|700000|Mark Rodenkirch|438506}}
 +
{{HistF|2016-07-17|695631|Mark Rodenkirch|438288}}
 +
{{HistF|2016-07-06|688042|Mark Rodenkirch|437699}}
 +
{{HistC|2016-06-26|675000|Mark Rodenkirch|436985}}
 +
{{HistF|2016-06-18|661478|Mark Rodenkirch|436477}}
 +
{{HistF|2016-06-14|653490|Mark Rodenkirch|436236}}
 +
{{HistC|2016-06-12|650000|Mark Rodenkirch|436100}}
 +
{{HistC|2016-05-31|625000|Mark Rodenkirch|435208}}
 +
{{HistF|2016-05-30|621443|Mark Rodenkirch|435175}}
 +
{{HistC|2016-05-21|600000|Mark Rodenkirch|434578}}
 +
{{HistC|2016-04-27|550000|Mark Rodenkirch|432671}}
 +
{{HistF|2016-04-15|520363|Mark Rodenkirch|431593}}
 +
{{HistC|2016-04-07|505000|Mark Rodenkirch|430980}}
 +
{{HistC|2016-03-25|475000|Mark Rodenkirch|430072}}
 +
{{HistF|2016-02-29|442052|Mark Rodenkirch|427734}}, erroneous given as 442042
 +
{{HistC|2016-02-06|400000|Mark Rodenkirch|426519}}
 +
{{HistF|2016-02-10|369581 & 376050|Mark Rodenkirch|425772}}
 +
{{HistC|2016-02-08|360000|Mark Rodenkirch|425633}}
 +
 
 +
==History for Carol primes==
 +
{{HistC|2011-09-09|325000 - 350000|Albert J. Klein}}
 +
{{HistC|2008-06-24|230001 - 250000|Japke Rosink}}
 +
{{HistF|2007-05-03|253987|Cletus Emmanuel|Y#18899}}
 +
{{HistC|2006-04-04|250000|Japke Rosink}}
 +
{{HistF|2006-03-28|248949|Japke Rosink}}
 +
{{HistC|2005-08-04|210000 - 218000|Japke Rosink}}
 +
{{HistC|2005-06-27|275000 - 325000|Japke Rosink}}
 +
{{HistC|2005-04-25|218000 - 219000|Steven Harvey}}
 +
{{HistC|2005-03-17|275000 - 291799, 297999 - 310768, 320000 - 325000|Japke Rosink}}
 +
{{HistC|2005-02-13|219000 - 220000|Steven Harvey}}
 +
{{HistC|2005-01-31|220000 - 230000|Steven Harvey}}
 +
{{HistF|2005-01-11|226749|Steven Harvey|Y#15871}}
 +
{{HistC|2004-12-07|200000|Cletus Emmanuel}}
 +
{{HistC|2004-11-04|187000|Cletus Emmanuel|Y#15522}}
 +
{{HistF|2004-11-03|185580|Cletus Emmanuel|Y#15519}}
 +
{{HistC|2004-10-08|150000 - 175928|Cletus Emmanuel|Y#15371}}
 +
{{HistC|2004-09-27|200000 - 210000|Rob Binnekamp}}
 +
{{HistF|2004-04-22|108127|Mark Rodenkirch}}; checked to '''n = 150000'''
 +
{{HistF|2004-01-23|110953|Rob Binnekamp|Y#14464}}
 +
{{HistF|2004-01-19|100224|Thomas Wolter|Y#14428}}
 +
{{HistC|2002-07-03|55000|Rob Binnekamp,Cletus Emmanuel|Y#7851}}
 +
{{HistF|2002-03-10|51637|Rob Binnekamp|Y#5825}}
 +
{{HistF|2002|39012|Steven Harvey}}
 +
{{HistF|2002|14289|Cletus Emmanuel}}; checked to '''n = 15000'''
 +
{{HistF|2002-02-23|14289|Cletus Emmanuel|Y#5540}}
 +
{{HistF|2002-02-23|6462|Cletus Emmanuel|Y#5539}}
 +
{{HistF|2002-02-06|1707 & 2923|Cletus Emmanuel|Y#5161}}
 +
 
 +
==History for Kynea primes==
 +
{{HistC|2011-09-09|300000 - 342000|Albert J. Klein}}
 +
{{HistC|2006-03-20|300000|Cletus Emmanuel}}
 +
{{HistC|2005-11-03|285000|Cletus Emmanuel}}
 +
{{HistF|2005-10-07|281621|Cletus Emmanuel|Y#17060}}
 +
{{HistC|2005-08-19|250000 - 275000|Cletus Emmanuel}}
 +
{{HistC|2005-03-11|250000|Predrag Minovic}}
 +
{{HistC|2004-12-29|243000|Predrag Minovic}}
 +
{{HistC|2004-12-03|240000|Predrag Minovic}}
 +
{{HistC|2004-11-04|233000|Predrag Minovic,Cletus Emmanuel|Y#15522}}
 +
{{HistC|2004-09-08|220000|Cletus Emmanuel}}
 +
{{HistC|2004-06-28|200000|Cletus Emmanuel}}
 +
{{HistC|2004-04-16|150000 - 173000|Cletus Emmanuel}}
 +
{{HistC|2004-04-07|150000|Predrag Minovic}}
 +
{{HistC|2004-03-26|137000|Predrag Minovic}}
 +
{{HistF|2004-03-10|106380|Predrag Minovic}}
 +
{{HistF|2004-02-18|110615|Predrag Minovic|Y#14574}}
 +
{{HistF|2004-02-24|108888|Predrag Minovic}}
 +
{{HistF|2004-02-23|102435|Predrag Minovic}}
 +
{{HistC|2002-07-03|100000|Steven Harvey,Cletus Emmanuel|Y#7851}}
 +
{{HistF|2002|37035, 45873 & 69312|Steven Harvey}}
 +
{{HistC|2002|15000|Cletus Emmanuel}}
 +
{{HistF|2002-02-23|4217 - 10367|Cletus Emmanuel|Y#5539}}
 +
{{HistF|2002-02-06|2813 & 3281|Cletus Emmanuel|Y#5161}}
 +
 
 +
==Explanations==
 +
*In the beginning of the search in 2002 by [[Cletus Emmanuel]] the Carol and Kynea primes were searched and sieved individually. Later in 2004 [[Multisieve]] supported both types.
 +
*End of 2004 there was a bug reported in the sieve program, resieving has to be done then.
 +
*Historical data from the [http://harvey563.tripod.com/Carol_Kynea.txt project page] by [[Steven Harvey]], some dates from [[The Prime Pages]] and [https://groups.yahoo.com/neo/groups/primenumbers/search/messages?advance=true&am=CONTAINS&at=email:cemmanu@&dm=IS_ANY&fs=false&count=10 Yahoo Group "Primenumbers"].

Latest revision as of 08:17, 9 October 2020

Current data

Base : 2
Max n : 768,870
Date : 2020-10-06
Carol: (44) 2, 3, 4, 6, 7, 10, 12, 15, 18, 19, 21, 25, 27, 55, 129, 132, 159, 171, 175, 315, 324, 358, 393, 435, 786, 1459, 1707, 2923, 6462, 14289, 39012, 51637, 100224, 108127, 110953, 175749, 185580, 226749, 248949, 253987, 520363, 653490, 688042, 695631
Kynea: (51) 1, 2, 3, 5, 8, 9, 12, 15, 17, 18, 21, 23, 27, 32, 51, 65, 87, 180, 242, 467, 491, 501, 507, 555, 591, 680, 800, 1070, 1650, 2813, 3281, 4217, 5153, 6287, 6365, 10088, 10367, 37035, 45873, 69312, 102435, 106380, 108888, 110615, 281621, 369581, 376050, 442052, 621443, 661478, 852770

History for both types

History for Carol primes

History for Kynea primes

Explanations

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