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Difference between revisions of "Cullen prime table"

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|category=Cullen prime
 
|category=Cullen prime
 
|namespace=
 
|namespace=
|titlematch=Cullen prime %
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|titleregexp=Cullen prime [1-9]+
 
|order=ascending
 
|order=ascending
 
|ordermethod=sortkey
 
|ordermethod=sortkey
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|include={Cullen prime} dpl
 
|include={Cullen prime} dpl
 
|listseparators={¦class="wikitable sortable"\n!Base\n!max {{Vn}}\n!Date\n!#\n!Primes for {{Vn}},,,\n¦}
 
|listseparators={¦class="wikitable sortable"\n!Base\n!max {{Vn}}\n!Date\n!#\n!Primes for {{Vn}},,,\n¦}
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|resultsheader=<b>There are %PAGES% bases</b>:\n
 
}}
 
}}
 
[[Category:Cullen prime| ]]
 
[[Category:Cullen prime| ]]

Latest revision as of 04:19, 19 April 2023

Overview

Automatically generated table from available Cullen primes.

Explanations

The colors used in the table are defined as:

 
 : Base is reserved
 
 : Base is not reserved

Primes table

There are 233 bases:

Base max n Date # Primes for n
2 25000000 2024-10-25
PrimeGrid Cullen Prime Search
16 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881
3 5000000 2024-10-25 17 2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874, 7268, 19290, 337590, 1183414, 1308596, 2220172, 9145334
4 2000000 2024-10-25 14 1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777, 3972, 10669, 48375, 1740349
5 2000000 2024-10-25 3 1242, 18390, 5778486
6 2000000 2024-10-25
Ryan Propper
20 1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115, 12043, 13118, 30981, 51496, 515516, 1644731, 2240501, 4392300, 4450871, 4582770
7 2000000 2024-10-25 4 34, 1980, 9898, 474280
8 800000 2024-10-25 8 5, 17, 23, 1911, 20855, 35945, 42816, 749130
9 500000 2024-10-25 5 2, 12382, 27608, 31330, 117852
10 500000 2024-10-25 11 1, 3, 9, 21, 363, 2161, 4839, 49521, 105994, 207777, 403765
11 600000 2024-10-25
Oliver Kruse
1 10
12 256588 2024-10-25 8 1, 8, 247, 3610, 4775, 19789, 187895, 345951
13 5982546 2024-10-27
PrimeGrid
0
14 2000000 2024-10-25 16 3, 5, 6, 9, 33, 45, 243, 252, 1798, 2429, 5686, 12509, 42545, 1198433, 1486287, 1909683
15 1500000 2024-10-25 10 8, 14, 44, 154, 274, 694, 17426, 59430, 451554, 551878
16 1000000 2024-10-25 8 1, 3, 55, 81, 223, 1227, 3012, 3301
17 1000000 2024-10-25 3 19650, 236418, 811138
18 1000000 2024-10-25 16 1, 3, 21, 23, 842, 1683, 3401, 16839, 49963, 60239, 150940, 155928, 219525, 342091, 353901, 612497
19 1000000 2024-10-25 1 6460
20 1000000 2024-10-25 9 3, 6207, 8076, 22356, 151456, 329994, 364595, 793181, 993149
21 277711 2024-10-25 4 2, 8, 26, 67100
22 200000 2024-10-25
Riley Fisher
6 1, 15, 189, 814, 19909, 72207
23 400000 2023-06-05 2 4330, 89350
24 200000 2023-04-27 3 2, 8, 368
25 2809620 2019-09 1 2805222
26 200000 2023-04-27 6 117, 3143, 3886, 7763, 64020, 88900
27 215413 2023-04-23 6 2, 56, 23454, 259738, 312498, 437960
28 224108 2024-10-25 6 1, 48, 468, 2655, 3741, 49930
29 4557047 2024-10-27
PrimeGrid
0
30 200000 2024-10-25 22 1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307, 3646, 6115, 19617, 49718, 107263, 152520, 154164
31 400000 2023-05-24 1 82960
32 200000 2024-10-25 1 5
33 200000 2023-05-01 5 2, 632, 1840, 91848, 164196
34 200000 2023-05-01 6 25, 33, 103, 195, 303, 415
35 200000 2023-05-01 2 304, 19116
36 200000 2023-05-01 11 1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481, 191013
37 259437 2023-04-30 1 36
38 1500000 2024-10-25 4 3, 1209, 430157, 884411
39 224467 2024-10-25 3 368, 402, 36592
40 200000 2023-05-07 4 1, 202, 74844, 88195
41 1810126 2018-03-11 1 1806676
42 200000 2024-10-25 9 1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296
43 200000 2023-05-07 1 390
44 200000 2023-05-07 1 53
45 200000 2023-05-07 3 2, 8, 84
46 200000 2023-05-07 5 1, 813, 1576, 116016, 129426
47 3985542 2024-10-27
PrimeGrid
0
48 200000 2023-05-07 10 3, 9, 14, 79, 114, 182, 9328, 13569, 60261, 111571
49 3942866 2024-10-27
PrimeGrid
0
50 200000 2023-05-07 4 9665, 11844, 92278, 176961
51 229191 2024-10-25 6 62, 1376, 10108, 29726, 65816, 136628
52 200000 2023-05-31 4 1, 168, 38559, 195522
53 1360054 2017-08-21 1 1341174
54 200000 2023-05-31 4 3, 8, 29, 11270
55 3829211 2024-10-27
PrimeGrid
0
56 200000 2023-05-31 2 1072, 31265
57 200000 2023-05-31 4 234, 470, 1670, 1898
58 204399 2023-05-31 8 1, 3, 34, 181, 252, 1135, 2139, 4510
59 200000 2023-05-31 2 220, 74460
60 1500000 2024-10-25 14 1, 9, 13, 113, 167, 202, 445, 518, 3522, 7423, 70615, 127441, 231158, 326342
61 300000 2024-10-25 2 142, 76710
62 200000 2023-06-03 3 1295, 7107, 43379
63 200000 2023-06-03 3 8, 50, 54398
64 200000 2024-10-25 4 3, 399, 7813, 14253
65 200000 2023-06-03 1 16990
66 200000 2023-06-03 9 1, 2, 158, 257, 1016, 2543, 3396, 3801, 81778
67 200000 2023-06-03 2 474, 52932
68 200000 2023-06-03 2 129897, 195875
69 3624124 2024-10-27
PrimeGrid
0
70 200000 2023-06-13 9 1, 3, 13, 5928, 10585, 18157, 20155, 36534, 87384
71 200000 2023-06-13 1 13948
72 200000 2023-06-13 10 1, 2, 35, 119, 274, 607, 3185, 14360, 25201, 132339
73 2531554 2021-09 1 2525532
74 200000 2023-06-13 3 3, 15, 26770
75 200000 2023-06-13 1 2
76 200000 2023-06-13 3 1161, 5401, 15516
77 200000 2023-06-13 1 12198
78 200000 2023-06-13 5 1, 25, 105, 254, 10671
79 692232 2016-10-08 1 682156
80 200000 2024-10-25 5 5, 273, 3273, 23074, 59871
81 280000 2024-10-25 4 350, 73272, 126042, 178192
82 200000 2024-10-25 4 1, 1407, 22515, 177015
83 200000 2024-10-25 1 1242
84 200000 2024-10-25 3 26, 59215, 128867
85 200000 2024-10-25 3 186, 1134, 39496
86 200000 2024-10-25 6 3, 17, 45, 267, 117172, 198291
87 224455 2024-10-25 3 2, 118, 34150
88 200000 2024-10-25 3 1, 411, 1191
89 282809 2024-10-25 1 298
90 200000 2024-10-25 6 14, 514, 587, 27419, 49527, 188701
91 272459 2024-10-25 1 101670
92 200000 2023-07-14 4 9, 252, 3900, 9215
93 227757 2024-10-25 4 2, 3332, 5642, 183500
94 200000 2023-07-14 5 775, 1207, 3277, 11169, 114903
95 200000 2023-07-14 3 202, 370, 18258
96 200000 2023-07-14 7 1, 2, 3, 8, 16350, 43895, 143717
97 200000 2023-07-14 1 1374
98 209756 2024-10-25 6 63, 622, 1125, 4517, 25830, 174885
99 200000 2023-07-14 6 2, 332, 21868, 26982, 31328, 138846
100 165295 2024-10-25 7 1, 427, 2475, 21369, 72048, 98035, 316903
101 3324924 2024-10-27
PrimeGrid
0
102 100000 2023-07-31 8 1, 2, 20, 4573, 5534, 16265, 25442, 93667
103 100000 2015-12 1 9054
104 100000 2015-12 2 23, 61012
105 100000 2015-12 6 2, 434, 632, 798, 57728, 91746
106 200000 2011 2 1, 3
107 100000 2015-12 2 34, 390
108 100000 2015-12 9 1, 41, 54, 176, 830, 2721, 2958, 9763, 37558
109 3270899 2024-10-27
PrimeGrid
0
110 100000 2015-12 2 3155, 17532
111 100000 2015-12 3 26, 36, 1142
112 100000 2015-12 6 1, 319, 3334, 7765, 9189, 11094
113 427194 2012-01-29 1 427194
114 100000 2015-12 9 7, 9, 53, 163, 1850, 7163, 8438, 11036, 15746
115 200000 2011 1 24
116 1325238 2018-01-18 1 1323365
117 200000 2008-02-03 1 177482
118 100000 2015-12 2 3748, 38382
119 100000 2015-12 2 4168, 11100
120 100000 2015-12 8 3, 7, 15, 24, 94, 574, 1927, 74662
121 3199666 2024-10-27
PrimeGrid
0
122 100000 2015-12 4 9, 114, 3191, 3513
123 100000 2015-12 5 2, 194, 260, 4682, 15022
124 100000 2015-12 1 517
125 100000 2015-12 4 144, 354, 96436, 109104
126 100000 2015-12 3 1, 3057, 7580
127 400254 2023-05-22 1 400254
128 200000 2008 4 9, 35, 561, 7749
129 100000 2015-12 5 118, 632, 17786, 40330, 43060
130 100000 2015-12 8 1, 31, 184, 4318, 4774, 27784, 56469, 83017
131 100000 2015-12 1 10990
132 100000 2015-12 9 2, 10, 107, 147, 248, 2159, 3987, 10182, 10535
133 200000 2011 1 48
134 200000 2011 2 15, 33
135 170000 2011 2 2, 8
136 100000 2015-12 2 1, 2065
137 300000 2013 0
138 100000 2015-12 5 1, 5, 22, 651, 657
139 300000 2013 0
140 100000 2015-12 7 3, 48, 214, 539, 1188, 3724, 39694
141 100000 2015-12 2 1478, 62378
142 100000 2015-12 3 249, 3453, 13675
143 110000 2011 2 10, 12
144 100000 2015-12 10 5, 7, 13, 29, 526, 849, 2090, 2607, 21459, 56773
145 100000 2015-12 1 64872
146 300000 2013 0
147 100000 2015-12 3 1614, 6236, 18696
148 100000 2015-12 5 1, 91, 805, 2739, 20170
149 300000 2013 0
150 100000 2015-12 12 1, 3, 7, 20, 32, 69, 298, 322, 1156, 2225, 19054, 25314
151 300000 2013 1 139948
152 100000 2015-12 5 4007, 4247, 5358, 27669, 50187
153 100000 2015-12 2 2, 68
154 100000 2015-12 5 3, 1729, 6348, 8313, 10213
155 100000 2015-12 1 29244
156 100000 2015-12 9 1, 2, 15, 33, 1577, 11863, 14546, 33797, 81131
157 100000 2015-12 2 328, 5334
158 100000 2015-12 5 75, 76, 297, 394, 1852
159 300000 2013 1 292402
160 100000 2015-12 3 24, 3826, 14232
161 200000 2013 1 6
162 100000 2015-12 9 1, 2, 31, 135, 847, 1339, 7255, 34051, 97708
163 100000 2015-12 2 1378, 7782
164 100000 2015-12 3 17, 24579, 49438
165 100000 2015-12 3 8, 1040, 2282
166 100000 2015-12 4 1, 3, 12085, 58897
167 180000 2013 1 114
168 100000 2015-12 6 23, 139, 245, 1242, 4754, 28270
169 300000 2013 0
170 100000 2015-12 4 3, 16, 71, 459
171 300000 2013 0
172 100000 2015-12 5 1, 31, 79, 2155, 61813
173 100000 2024-10-19 1 2230
174 100000 2015-12 6 3, 7, 25, 39, 16655, 19179
175 100000 2015-12 3 6, 1344, 1816
176 100000 2015-12 3 3, 2373, 32452
177 100000 2015-12 2 2, 440
178 100000 2015-12 3 1, 43, 6657
179 300000 2013 0
180 100000 2015-12 5 1, 3, 8, 59, 20463
181 100000 2015-12 1 8656
182 100000 2015-12 5 15, 160, 174, 87258, 91559
183 100000 2015-12 1 1352
184 100000 2015-12 5 9, 429, 696, 813, 19059
185 100000 2015-12 1 10374
186 100000 2015-12 10 2, 8, 13, 43, 291, 365, 6847, 42816, 84387, 86192
187 100000 2015-12 1 628
188 100000 2015-12 3 179, 1515, 30845
189 200000 2013 1 2
190 100000 2015-12 3 1, 214, 2091
191 290000 2013 0
192 100000 2015-12 2 1, 3302
193 200000 2011 0
194 200000 ? 1 113
195 100000 2015-12 6 84, 124, 688, 9044, 34814, 78740
196 100000 2015-12 6 1, 111, 4807, 18606, 29931, 33648
197 100000 2015-12 1 3396
198 200000 2013 3 1, 19, 122095
199 200000 2013 1 118
200 100000 2015-12 6 3, 21, 29, 305, 2494, 72358
202 100000 2023-04-17 1 28968
207 100000 2023-04-19 1 17780
209 100000 2023-04-19 1 47518
211 100000 2023-04-22 2 26608, 269328
215 150000 2023-04-29 0
223 148000 2023-04-29 0
225 100000 2023-05-04 0
227 100000 2023-05-06 0
229 100000 2023-10-20 0
231 100000 2023-05-10 0
235 100000 2023-05-14 1 63942
239 100000 2023-05-16 0
241 100000 2023-05-18 0
251 100000 2023-05-20 0
253 100000 2023-05-22 0
254 100000 2023-05-28 1 18508
256 650000 2021 6 1, 57, 1641, 2076, 6040, 371400
259 100000 2023-06-02 0
261 100000 2023-06-06 0
263 100000 2023-06-08 0
265 100000 2023-06-17 1 49302
267 100000 2023-06-17 0
269 100000 2023-06-17 0
271 100000 2023-07-02 0
272 100000 2023-07-02 0
275 100000 2023-07-02 0
277 100000 2023-07-02 0
484 100000 2024-10-26 4 9, 25, 5535, 14835
512 600000 2021 3 9, 75, 56271
1024 500000 2020 2 3, 29650
8192 400000 2018 1 298989
16384 400000 2020 3 1963, 94189, 222216
32768 350000 2020 2 5, 51359
131072 300000 2020 3 5, 18825, 809698