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Old 2020-03-08, 15:09   #7
mart_r
 
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Dec 2008
you know...around...

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Code:
  k          g          p         p'        q       r CSG p'-style by
118    3758772  144803717  148562489    31854   27287 1.0000152764 Kourbatov/Wolf 2016
179    1885228  163504573  165389801    10532    5805 1.0000704209 Kourbatov/Wolf 2016
 83   43562550    1901563   45464113   524850  327013 1.0014031914 Raab, 20.02.2020
167    2306938   82541821   84848759    13814    3171 1.0022590147 Kourbatov/Wolf 2016
118    1594416  145465687  147060103    13512    9007 1.0026889378 Kourbatov/Wolf 2016
 87   13075056    1108727   14183783   150288   56711 1.0044797434 Raab, 25.02.2020
144 1717149024    2144897 1719293921 11924646 2144897 1.0045650866 Raab, 13.02.2020: largest known p' and largest known q for an extraordinarily large gap
115    6580070    9659921   16239991    57218   47297 1.0046426332 Kourbatov/Wolf 2019
128    7044864  302145839  309190703    55038   42257 1.0048671503 Kourbatov/Wolf 2019
129    1263426   10176791   11440217     9794     825 1.0056800570 Kourbatov/Wolf 2016
135    6336090   10862323   17198413    46934   20569 1.0064940453 Kourbatov/Wolf 2019
 63     532602     355339     887941     8454     271 1.0081862161 Kourbatov/Wolf 2016
199    3108778  524646211  527754989    15622   12585 1.0098218219 Kourbatov/Wolf 2016
166    2937868   71725099   74662967    17698   12803 1.0103309882 Kourbatov/Wolf 2016
 89    3002682    8462609   11465291    33738   28109 1.0107025944 Kourbatov/Wolf 2016
135    2453760   11626561   14080321    18176   12097 1.0107626289 Kourbatov/Wolf 2016
 86   47941560   49222847   97164407   557460  166367 1.0125803645 Raab, 25.02.2020
192    5450496  366870073  372320569    28388   11949 1.0140771094 Kourbatov/Wolf 2019
 55     229350    1409633    1638983     4170     173 1.0145547849 Kourbatov/Wolf 2016
156    2823288   37906669   40729957    18098    9457 1.0162761199 Kourbatov/Wolf 2016
183    7326222  222677837  230004059    40034    8729 1.0166221904 Kourbatov/Wolf 2019
144     657504  896016139  896673643     4566    2563 1.0179389550 Kourbatov/Wolf 2016
102    5910084   51763573   57673657    57942   21367 1.0199911211 Kourbatov/Wolf 2019
211    2119706  665152001  667271707    10046    6341 1.0223668231 Kourbatov/Wolf 2016
135     411480  470669167  471080647     3048      55 1.0235488825 Kourbatov/Wolf 2019
 76   14359440    8356739   22716179   188940   43379 1.0302944159 Raab, 18.12.2019
 79     316790     726611    1043401     4010     801 1.0309808771 Kourbatov/Wolf 2016
129    2266530  198565889  200832419    17570    7319 1.0335372951 Kourbatov/Wolf 2016
115     984170    5357381    6341551     8558      73 1.0339720553 Kourbatov/Wolf 2016
115    3422630     735473    4158103    29762   21185 1.0368176014 Kourbatov/Wolf 2016
 53    2413620     355417    2769037    45540   36637 1.0386945028 Raab, 11.12.2019
104    5609136   34016537   39625673    53934   38117 1.0412524005 Kourbatov/Wolf 2019
 82    2972664    5323187    8295851    36252   30395 1.0427690852 Raab, 20.02.2020
101    4575906   20250677   24826583    45306   44201 1.0463153374 Kourbatov/Wolf 2019
147    7230930  130172279  137403209    49190   15539 1.0468373915 Kourbatov/Wolf 2019
115  132625590    2839657  135465247  1153266  533125 1.0536024200 Raab, 21.02.2020
112    1896608     164663    2061271    16934   12257 1.0598397341 Kourbatov/Wolf 2016
222    1530912  728869417  730400329     6896    3593 1.0684247390 Kourbatov/Wolf 2016
201    3415794  376981823  380397617    16994    3921 1.0703375544 Kourbatov/Wolf 2016
 78    2157480   13074917   15232397    27660   19397 1.0716522452 Kourbatov/Wolf 2019
 65     208650    3415781    3624431     3210     341 1.0786589153 Kourbatov/Wolf 2016
 81   20655000    7827217   28482217   255000  177217 1.0953885874 Raab, 19.02.2020
206    8083028  344107541  352190569    39238   29519 1.1134625422 Kourbatov/Wolf 2016
209    3906628  190071823  193978451    18692   11567 1.1480589845 Kourbatov/Wolf 2016

g = k*q
p = left-hand bounding prime
p' = right-hand bounding prime
r = p mod q
"p'-style": CSG ratio per g/phi(q)/logĀ²(p')
I noticed Mr Kourbatov and Mr Wolf published another paper regarding prime gaps in arithmetic progression last month. Maybe I should contact them for a coordinated search?
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