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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 %
+
|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¦}
 +
|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 391 bases:

Base max n Date # Primes for n
2 26000000 2025
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 1688232 2025-03-16
Oliver Kruse
1 10
12 256588 2024-10-25 8 1, 8, 247, 3610, 4775, 19789, 187895, 345951
13 6390194 2025-03-24
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 2024-10-25 2 4330, 89350
24 200000 2024-10-25 3 2, 8, 368
25 2809620 2024-10-25 1 2805222
26 200000 2024-10-25 6 117, 3143, 3886, 7763, 64020, 88900
27 215413 2024-10-25 6 2, 56, 23454, 259738, 312498, 437960
28 224108 2024-10-25 6 1, 48, 468, 2655, 3741, 49930
29 4867563 2025-03-24
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 2024-10-25 1 82960
32 200000 2024-10-25 1 5
33 200000 2024-10-25 5 2, 632, 1840, 91848, 164196
34 200000 2024-10-25 6 25, 33, 103, 195, 303, 415
35 200000 2024-10-25 2 304, 19116
36 200000 2024-10-25 11 1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481, 191013
37 259437 2024-10-25 1 36
38 1500000 2024-10-25 4 3, 1209, 430157, 884411
39 224467 2024-10-25 3 368, 402, 36592
40 200000 2024-10-25 4 1, 202, 74844, 88195
41 1810126 2024-10-25 1 1806676
42 200000 2024-10-25 9 1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296
43 200000 2024-10-25 1 390
44 200000 2024-10-25 1 53
45 200000 2024-10-25 3 2, 8, 84
46 200000 2024-10-25 5 1, 813, 1576, 116016, 129426
47 4257116 2025-03-24
PrimeGrid
0
48 200000 2024-10-25 10 3, 9, 14, 79, 114, 182, 9328, 13569, 60261, 111571
49 4211531 2025-03-24
PrimeGrid
0
50 200000 2024-10-25 4 9665, 11844, 92278, 176961
51 229191 2024-10-25 6 62, 1376, 10108, 29726, 65816, 136628
52 200000 2024-10-25 4 1, 168, 38559, 195522
53 1360054 2024-10-25 1 1341174
54 200000 2024-10-25 4 3, 8, 29, 11270
55 4090132 2025-03-24
PrimeGrid
0
56 200000 2024-10-25 2 1072, 31265
57 200000 2024-10-25 4 234, 470, 1670, 1898
58 204399 2024-10-25 8 1, 3, 34, 181, 252, 1135, 2139, 4510
59 200000 2024-10-25 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 2024-10-25 3 1295, 7107, 43379
63 200000 2024-10-25 3 8, 50, 54398
64 200000 2024-10-25 4 3, 399, 7813, 14253
65 200000 2024-10-25 1 16990
66 200000 2024-10-25 9 1, 2, 158, 257, 1016, 2543, 3396, 3801, 81778
67 200000 2024-10-25 2 474, 52932
68 200000 2024-10-25 2 129897, 195875
69 3871070 2025-03-24
PrimeGrid
0
70 200000 2024-10-25 9 1, 3, 13, 5928, 10585, 18157, 20155, 36534, 87384
71 200000 2024-10-25 1 13948
72 200000 2024-10-25 10 1, 2, 35, 119, 274, 607, 3185, 14360, 25201, 132339
73 2531554 2024-10-25 1 2525532
74 200000 2024-10-25 3 3, 15, 26770
75 200000 2024-10-25 1 2
76 200000 2024-10-25 3 1161, 5401, 15516
77 200000 2024-10-25 1 12198
78 200000 2024-10-25 5 1, 25, 105, 254, 10671
79 692232 2024-10-25 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 202493 2024-10-25 4 9, 252, 3900, 9215
93 227757 2024-10-25 4 2, 3332, 5642, 183500
94 200000 2024-10-25 5 775, 1207, 3277, 11169, 114903
95 200000 2024-10-25 3 202, 370, 18258
96 200000 2024-10-25 7 1, 2, 3, 8, 16350, 43895, 143717
97 200000 2024-10-25 1 1374
98 209756 2024-10-25 6 63, 622, 1125, 4517, 25830, 174885
99 200000 2024-10-25 6 2, 332, 21868, 26982, 31328, 138846
100 200000 2024-10-25 7 1, 427, 2475, 21369, 72048, 98035, 316903
101 3551483 2025-03-24
PrimeGrid
0
102 100000 2024-11-06 8 1, 2, 20, 4573, 5534, 16265, 25442, 93667
103 100000 2024-11-06 1 9054
104 100000 2024-11-06 2 23, 61012
105 100000 2024-11-06 6 2, 434, 632, 798, 57728, 91746
106 200000 2024-11-06 2 1, 3
107 100000 2024-11-06 2 34, 390
108 100000 2024-11-06 9 1, 41, 54, 176, 830, 2721, 2958, 9763, 37558
109 3493777 2025-03-24
PrimeGrid
0
110 100000 2024-11-06 2 3155, 17532
111 100000 2024-11-06 3 26, 36, 1142
112 100000 2024-11-06 6 1, 319, 3334, 7765, 9189, 11094
113 427396 2024-11-06 1 427194
114 100000 2024-11-06 9 7, 9, 53, 163, 1850, 7163, 8438, 11036, 15746
115 200000 2024-11-06 1 24
116 1325238 2024-11-06 1 1323365
117 200000 2024-11-06 1 177482
118 100000 2024-11-06 2 3748, 38382
119 100000 2024-11-06 2 4168, 11100
120 100000 2024-11-06 8 3, 7, 15, 24, 94, 574, 1927, 74662
121 3417690 2025-03-24
PrimeGrid
0
122 100000 2024-11-06 4 9, 114, 3191, 3513
123 100000 2024-11-06 5 2, 194, 260, 4682, 15022
124 100000 2024-11-06 1 517
125 300000 2024-11-06 4 144, 354, 96436, 109104
126 100000 2024-11-06 3 1, 3057, 7580
127 400254 2024-11-06 1 400254
128 200000 2024-11-06 4 9, 35, 561, 7749
129 100000 2024-11-06 5 118, 632, 17786, 40330, 43060
130 100000 2024-11-06 8 1, 31, 184, 4318, 4774, 27784, 56469, 83017
131 100000 2024-11-06 1 10990
132 100000 2024-11-06 9 2, 10, 107, 147, 248, 2159, 3987, 10182, 10535
133 200000 2024-11-06 1 48
134 200000 2024-11-06 2 15, 33
135 200000 2024-11-06 2 2, 8
136 100000 2024-11-06 2 1, 2065
137 300000 2024-11-06 0
138 100000 2024-11-06 5 1, 5, 22, 651, 657
139 300000 2024-11-06 0
140 100000 2024-11-06 7 3, 48, 214, 539, 1188, 3724, 39694
141 100000 2024-11-06 2 1478, 62378
142 100000 2024-11-06 3 249, 3453, 13675
143 200000 2024-11-06 2 10, 12
144 100000 2024-11-06 10 5, 7, 13, 29, 526, 849, 2090, 2607, 21459, 56773
145 100000 2024-11-06 1 64872
146 300000 2024-11-06 0
147 100000 2024-11-06 3 1614, 6236, 18696
148 100000 2024-11-06 5 1, 91, 805, 2739, 20170
149 300000 2024-11-06 0
150 100000 2024-11-06 12 1, 3, 7, 20, 32, 69, 298, 322, 1156, 2225, 19054, 25314
151 300000 2024-11-06 1 139948
152 100000 2024-11-06 5 4007, 4247, 5358, 27669, 50187
153 100000 2024-11-06 2 2, 68
154 100000 2024-11-06 5 3, 1729, 6348, 8313, 10213
155 100000 2024-11-06 1 29244
156 100000 2024-11-06 9 1, 2, 15, 33, 1577, 11863, 14546, 33797, 81131
157 100000 2024-11-06 2 328, 5334
158 100000 2024-11-06 5 75, 76, 297, 394, 1852
159 300000 2024-11-06 1 292402
160 200000 2024-11-06 3 24, 3826, 14232
161 200000 2024-11-06 1 6
162 100000 2024-11-06 9 1, 2, 31, 135, 847, 1339, 7255, 34051, 97708
163 100000 2024-11-06 2 1378, 7782
164 100000 2024-11-06 3 17, 24579, 49438
165 100000 2024-11-06 3 8, 1040, 2282
166 100000 2024-11-06 4 1, 3, 12085, 58897
167 180000 2024-11-06 1 114
168 100000 2024-11-06 6 23, 139, 245, 1242, 4754, 28270
169 300000 2024-11-06 0
170 100000 2024-11-06 4 3, 16, 71, 459
171 300000 2024-11-06 0
172 100000 2024-11-06 5 1, 31, 79, 2155, 61813
173 100000 2024-11-06 1 2230
174 100000 2024-11-06 6 3, 7, 25, 39, 16655, 19179
175 100000 2024-11-06 3 6, 1344, 1816
176 100000 2024-11-06 3 3, 2373, 32452
177 100000 2024-11-06 2 2, 440
178 100000 2024-11-06 3 1, 43, 6657
179 300000 2024-11-06 0
180 100000 2024-11-06 5 1, 3, 8, 59, 20463
181 100000 2024-11-06 1 8656
182 100000 2024-11-06 5 15, 160, 174, 87258, 91559
183 100000 2024-11-06 1 1352
184 100000 2024-11-06 5 9, 429, 696, 813, 19059
185 100000 2024-11-06 1 10374
186 100000 2024-11-06 10 2, 8, 13, 43, 291, 365, 6847, 42816, 84387, 86192
187 100000 2024-11-06 1 628
188 100000 2024-11-06 3 179, 1515, 30845
189 200000 2024-11-06 1 2
190 100000 2024-11-06 3 1, 214, 2091
191 290000 2024-11-06 0
192 100000 2024-11-06 2 1, 3302
193 200000 2024-11-06 0
194 200000 2024-11-06 1 113
195 100000 2024-11-06 6 84, 124, 688, 9044, 34814, 78740
196 100000 2024-11-06 6 1, 111, 4807, 18606, 29931, 33648
197 100000 2024-11-06 1 3396
198 200000 2024-11-06 3 1, 19, 122095
199 200000 2024-11-06 1 118
200 100000 2024-11-06 6 3, 21, 29, 305, 2494, 72358
201 100000 2024-11-24 5 2, 32, 3272, 36366, 68356
202 100000 2023-04-17 1 28968
203 100000 2024-11-24 1 154
204 100000 2024-12-23 5 2, 7, 32, 38, 208
205 100000 2024-12-23 1 2470
206 100000 2024-12-23 2 317, 665
207 100000 2023-04-19 1 17780
208 25000 2025-03-16 3 159, 297, 21261
209 200000 2023-04-19 1 47518
210 25000 2025-03-16 9 1, 13, 14, 17, 50, 86, 2647, 6638, 6872
211 100000 2023-04-22 2 26608, 269328
212 25000 2025-03-16 5 81, 119, 898, 953, 3959
213 25000 2025-03-16 3 32, 1654, 12380
214 25000 2025-03-16 2 33, 97
215 150000 2023-04-29 0
216 200000 2025-03-17 8 11, 117, 151, 461, 1771, 14635, 40328, 63681
217 200000 2025-03-17 1 208
218 25000 2025-03-17 1 81
219 25000 2025-03-17 1 2
220 25000 2025-03-17 4 45, 1333, 3105, 13764
221 200000 2025-03-17 1 12
222 25000 2025-03-17 10 1, 7, 8, 41, 209, 369, 1154, 1645, 6353, 10040
223 200000 2023-04-29 0
224 25000 2025-03-17 4 53, 342, 3886, 23483
225 100000 2023-05-04 0
226 25000 2025-03-17 4 1, 67, 4318, 4716
227 200000 2025-02-04 0
228 25000 2025-03-17 7 1, 2, 403, 492, 881, 2491, 2691
229 200000 2025-02-04 0
230 100000 2025-03-17 4 3, 1254, 8130, 24810
231 100000 2023-05-10 0
232 50000 2025-03-17 4 1, 115, 267, 4989
233 50000 2025-03-17 1 2490
234 25000 2025-03-17 7 3, 8, 9, 26, 49, 513, 8573
235 100000 2023-05-14 1 63942
236 25000 2025-03-18 2 5, 7530
237 25000 2025-03-18 2 2, 14
238 25000 2025-03-18 4 1, 1120, 3085, 7959
239 170000 2023-05-16 0
240 25000 2025-03-18 4 1, 2, 608, 2847
241 200000 2025-02-04 0
242 25000 2025-03-18 3 1541, 10251, 11187
243 274000 2025-03-18 1 74
244 25000 2025-03-18 5 3, 507, 615, 667, 816
245 25000 2025-03-18 1 972
246 25000 2025-03-18 3 11, 63, 252
247 25000 2025-03-18 1 12
248 25000 2025-03-18 3 201, 5202, 18917
249 25000 2025-03-18 1 5026
250 25000 2025-03-18 6 1, 97, 735, 3214, 5125, 7125
251 180000 2023-05-20 0
252 25000 2025-03-19 5 19, 53, 2060, 2158, 5587
253 100000 2023-05-22 0
254 100000 2023-05-28 1 18508
255 25000 2025-03-19 3 2, 146, 4572
256 650000 2021 6 1, 57, 1641, 2076, 6040, 371400
257 50000 2025-03-19 1 3730
258 25000 2025-03-19 5 205, 1357, 1997, 2783, 7857
259 100000 2023-06-02 0
260 25000 2025-03-19 4 3, 33, 3741, 10420
261 100000 2023-06-06 0
262 25000 2025-03-19 3 1, 9, 21
263 100000 2023-06-08 0
264 25000 2025-03-19 4 2, 736, 923, 3059
265 100000 2023-06-17 1 49302
266 25000 2025-03-19 4 3, 173, 802, 2008
267 100000 2023-06-17 0
268 25000 2025-03-19 5 1, 3, 214, 7245, 21223
269 100000 2023-06-17 0
270 25000 2025-03-19 5 1, 7, 57, 76, 3332
271 200000 2025-02-04 0
272 100000 2023-07-02 0
273 25000 2025-03-20 5 2, 8, 38, 3396, 8062
274 25000 2025-03-20 2 9, 459
275 100000 2023-07-02 0
276 25000 2025-03-20 3 1, 77, 107
277 100000 2023-07-02 0
278 25000 2025-03-20 2 77, 900
279 25000 2025-03-20 3 458, 4322, 11848
280 25000 2025-03-20 8 1, 9, 45, 169, 249, 1234, 2839, 5011
281 50000 2025-03-20 1 2506
282 25000 2025-03-20 2 1, 1427
283 100000 2024-11-15 0
284 25000 2025-03-20 5 5, 345, 1210, 1439, 1709
285 25000 2025-03-20 1 2
286 25000 2025-03-20 2 255, 5725
287 100000 2024-11-15 1 36532
288 25000 2025-03-20 4 3, 8, 176, 8060
289 100000 2024-11-15 0
290 25000 2025-03-20 4 34, 114, 1757, 11993
291 25000 2025-03-20 1 68
292 25000 2025-03-20 3 1, 2290, 9702
293 100000 2024-11-15 2 17218, 34314
294 100000 2024-11-15 1 57723
295 25000 2025-03-20 1 844
296 25000 2025-03-20 3 3, 93, 21417
297 25000 2025-03-20 2 2, 20350
298 25000 2025-03-21 1 295
299 25000 2025-03-21 2 2982, 6070
300 25000 2025-03-21 6 2, 3, 54, 56, 793, 13863
301 25000 2025-03-21 0
302 25000 2025-03-21 5 5, 105, 119, 5813, 12594
303 25000 2025-03-21 0
304 25000 2025-03-21 1 3
305 25000 2025-03-21 1 21724
306 25000 2025-03-21 8 1, 2, 3, 53, 103, 206, 601, 3577
307 25000 2025-03-21 0
308 25000 2025-03-21 4 3, 11, 59, 269
309 25000 2025-03-21 1 8
310 25000 2025-03-21 7 1, 13, 903, 1141, 1404, 4585, 13045
311 25000 2025-03-22 0
312 25000 2025-03-22 4 1, 25, 161, 2478
313 25000 2025-03-22 0
314 25000 2025-03-22 2 357, 3376
315 25000 2025-03-22 2 176, 1358
316 25000 2025-03-22 3 1, 117, 24510
317 25000 2025-03-22 0
318 25000 2025-03-22 4 8, 761, 1803, 5295
319 25000 2025-03-22 0
320 25000 2025-03-22 3 84, 1941, 4324
321 25000 2025-03-26 2 2, 1790
322 25000 2025-03-26 3 142, 159, 351
323 25000 2025-03-26 2 16, 2452
324 25000 2025-03-26 8 2, 3, 29, 427, 537, 2522, 5667, 7706
325 25000 2025-03-26 1 13212
326 25000 2025-03-26 2 41, 1378
327 25000 2025-03-26 1 2
328 25000 2025-03-26 1 21
329 25000 2025-03-26 2 6, 3028
330 25000 2025-03-26 5 1, 3, 92, 14385, 22058
331 25000 2025-03-29 0
332 25000 2025-03-29 4 160, 353, 1176, 1833
333 25000 2025-03-29 1 7796
334 25000 2025-03-29 3 39, 87, 895
335 25000 2025-03-29 1 1968
336 25000 2025-03-29 5 1, 7, 137, 930, 1968
337 25000 2025-03-29 0
338 25000 2025-03-29 3 3, 21, 11885
339 25000 2025-03-29 1 978
340 25000 2025-03-29 4 3, 24, 220, 5695
341 25000 2025-03-29 0
342 25000 2025-03-29 4 5, 3402, 18609, 19107
343 300000 2015-02-05 0
344 25000 2025-03-29 3 5, 29, 42
345 25000 2025-03-29 1 118
346 25000 2025-03-30 2 1, 3
347 25000 2025-03-30 1 2958
348 25000 2025-03-30 5 1, 3, 9, 11, 50
349 25000 2025-03-30 2 252, 1516
350 25000 2025-03-30 3 1875, 1913, 16582
351 25000 2025-03-30 2 2, 5450
352 25000 2025-03-30 2 1, 85
353 25000 2025-03-30 1 328
354 25000 2025-03-30 4 56, 645, 1197, 4253
355 25000 2025-03-30 0
356 25000 2025-03-30 0
357 25000 2025-03-30 1 2
358 25000 2025-03-30 2 1, 208
359 25000 2025-03-30 0
360 25000 2025-03-31 6 2, 34, 154, 214, 1041, 1489
361 25000 2025-03-31 0
362 25000 2025-03-31 3 11, 298, 1332
363 25000 2025-03-31 3 8, 290, 8822
364 25000 2025-03-31 6 48, 816, 1767, 5032, 7287, 17749
365 25000 2025-03-31 0
366 25000 2025-03-31 5 1, 2, 121, 3562, 24791
367 25000 2025-03-31 1 514
368 25000 2025-03-31 4 3, 9, 323, 17375
369 25000 2025-03-31 0
370 25000 2025-03-31 1 129
484 100000 2024-10-26 4 9, 25, 5535, 14835
512 600000 2021 3 9, 75, 56271
625 286000 2015-02-05 3 3474, 3952, 12264
676 100000 2015-02-05 6 1, 115, 121, 555, 29085, 46477
729 300000 2015-02-05 2 518, 3326
1024 500000 2020 2 3, 29650
1296 200000 2015-02-05 5 1, 8, 201, 260, 28138
1331 150000 2015-02-05 0
2048 300000 2015-02-05 2 5, 63
2187 250000 2015-02-05 1 370
2401 200000 2015-02-05 0
3125 200000 2015-02-05 0
4096 300000 2015-02-05 1 3
6561 215000 2015-02-05 2 2, 35856
7776 100000 2015-02-05 5 2, 3, 8, 5953, 87126
8192 400000 2018 1 298989
10001 10000 2025-03-16 0
16384 400000 2020 3 1963, 94189, 222216
32768 350000 2020 2 5, 51359
65536 200000 2025-04-02 1 1
131072 300000 2020 3 5, 18825, 809698
262144 100000 2025-04-02 1 9