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Line 1: |
Line 1: |
− | {{Carol-Kynea prime
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− | |CKBase=2
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− | |CKMaxn=768870
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− | |CKDate=2019-03-04
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− | |CKReserved=Dylan Delgado
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− | |CKClist=
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− | 2
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− | 3
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− | 4
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− | 6
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− | 7
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− | 10
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− | 12
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− | 15
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− | 18
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− | 19
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− | 21
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− | 25
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− | 27
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− | 55
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− | 129
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− | 132
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− | 159
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− | 171
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− | 175
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− | 315
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− | 324
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− | 358
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− | 393
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− | 435
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− | 786
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− | 1459
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− | 1707
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− | 2923
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− | 6462
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− | 14289
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− | 39012
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− | 51637
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− | 100224;68426
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− | 108127;70044
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− | 110953;68504
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− | 175749;71961
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− | 185580;72288
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− | 226749;73109
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− | 248949;77385
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− | 253987;80384
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− | 520363
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− | 653490;121779
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− | 688042;121867
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− | 695631;121905
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− | |CKKlist=
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− | 1
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− | 2
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− | 3
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− | 5
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− | 8
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− | 9
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− | 12
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− | 15
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− | 17
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− | 18
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− | 21
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− | 23
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− | 27
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− | 32
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− | 51
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− | 65
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− | 87
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− | 180
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− | 242
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− | 467
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− | 491
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− | 501
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− | 507
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− | 555
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− | 591
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− | 680
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− | 800
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− | 1070
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− | 1650
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− | 2813
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− | 3281
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− | 4217
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− | 5153
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− | 6287
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− | 6365
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− | 10088
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− | 10367
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− | 37035
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− | 45873
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− | 69312
| |
− | 102435;68943
| |
− | 106380;69438
| |
− | 108888;68958
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− | 110615;68900
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− | 281621;75878
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− | 369581
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− | 376050
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− | 442052
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− | 621443
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− | 661478;121801
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− | |CKRemarks=
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− | }}
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− | ==History for both types==
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− | {{HistF|2016-07-16|695631|Mark Rodenkirch}}
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− | {{HistF|2016-07-06|688042|Mark Rodenkirch}}
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− | {{HistF|2016-06-18|661478|Mark Rodenkirch}}
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− | {{HistF|2016-06-14|653490|Mark Rodenkirch}}
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− | {{HistF|2016-05-30|621443|Mark Rodenkirch}}
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− | {{HistF|2016-04-25|520363|Mark Rodenkirch}}
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− | {{HistF|2016-04-25|442052|Mark Rodenkirch}}
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| | | |
− | ==History for Carol primes==
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− | {{HistC|2011-09-09|325000 - 350000|Albert J. Klein}}
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− | {{HistC|2008-06-24|230001 - 250000|Japke Rosink}}
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− | {{HistF|2007-05-07|253987|Cletus Emmanuel}}
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− | {{HistC|2006-04-04|250000|Japke Rosink}}
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− | {{HistF|2006-03-28|248949|Japke Rosink}}
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− | {{HistC|2005-08-04|210000 - 218000|Japke Rosink}}
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− | {{HistC|2005-06-27|275000 - 325000|Japke Rosink}}
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− | {{HistC|2005-04-25|218000 - 219000|Steven Harvey}}
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− | {{HistC|2005-03-17|275000 - 291799, 297999 - 310768, 320000 - 325000|Japke Rosink}}
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− | {{HistC|2005-02-13|219000 - 220000|Steven Harvey}}
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− | {{HistC|2005-01-31|220000 - 230000|Steven Harvey}}
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− | {{HistF|2005-01-11|226749|Steven Harvey}}
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− | {{HistC|2004-12-07|200000|Cletus Emmanuel}}
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− | {{HistF|2004-11-05|185580|Cletus Emmanuel}}
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− | {{HistF|2004-10-13|175749|Cletus Emmanuel}}
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− | {{HistC|2004-09-27|200000 - 210000|Binnekamp}}
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− | {{HistF|2004-04-22|108127|Mark Rodenkirch}}; checked to '''n = 150000'''
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− | {{HistF|2004-01-23|110953|Rob Binnekamp}}
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− | {{HistF|2004-01-19|100224|Thomas Wolter}}
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− | {{HistF|2002|39012|Steven Harvey}}
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− | {{HistF|2002|51637|Binnekamp}}
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− | {{HistF|2002|14289|Cletus Emmanuel}}; checked to '''n = 15000'''
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− |
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− | ==History for Kynea primes==
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− | {{HistF|2016-02-09|369581 & 376050|Mark Rodenkirch}}
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− | {{HistC|2011-09-09|300000 - 342000|Albert J. Klein}}
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− | {{HistC|2006-03-20|300000|Cletus Emmanuel}}
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− | {{HistC|2005-11-03|285000|Cletus Emmanuel}}
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− | {{HistF|2005-10-09|281621|Cletus Emmanuel}}
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− | {{HistC|2005-08-19|250000 - 275000|Cletus Emmanuel}}
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− | {{HistC|2005-03-11|250000|Predrag Minovic}}
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− | {{HistC|2004-12-29|243000|Predrag Minovic}}
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− | {{HistC|2004-12-03|240000|Predrag Minovic}}
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− | {{HistC|2004-10-27|233000|Predrag Minovic}}
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− | {{HistC|2004-09-08|220000|Cletus Emmanuel}}
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− | {{HistC|2004-06-28|200000|Cletus Emmanuel}}
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− | {{HistC|2004-04-16|150000 - 173000|Cletus Emmanuel}}
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− | {{HistC|2004-04-07|150000|Predrag Minovic}}
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− | {{HistC|2004-03-26|137000|Predrag Minovic}}
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− | {{HistF|2004-03-10|106380|Predrag Minovic}}
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− | {{HistF|2004-02-19|110615|Predrag Minovic}}
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− | {{HistF|2004-02-24|108888|Predrag Minovic}}
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− | {{HistF|2004-02-23|102435|Predrag Minovic}}
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− | {{HistF|2002|37035, 45873 & 69312|Steven Harvey}}
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− | {{HistC|2002|15000|Cletus Emmanuel}}
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− |
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− | ==Explanations==
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− | *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.
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− | *End of 2004 there was a bug reported in the sieve program, resieving has to be done then.
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− | *Historical data from the [http://harvey563.tripod.com/Carol_Kynea.txt project page] by [[Steven Harvey]], some dates from [[The Prime Pages]]
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