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Talk:Earliest difference between prime gaps

From Rosetta Code

Gap table[edit]

For what it is worth, this table shows the prime gaps found while determining the earliest adjacent gap difference > one billion. (In the order they were found by default.)

gap minimal
starting
prime
ending
prime
0 2 2
1 2 3
2 3 5
4 7 11
6 23 29
8 89 97
14 113 127
10 139 149
12 199 211
18 523 541
20 887 907
22 1129 1151
34 1327 1361
24 1669 1693
16 1831 1847
26 2477 2503
28 2971 2999
30 4297 4327
32 5591 5623
36 9551 9587
44 15683 15727
42 16141 16183
40 19333 19373
52 19609 19661
48 28229 28277
38 30593 30631
72 31397 31469
50 31907 31957
62 34061 34123
54 35617 35671
60 43331 43391
58 44293 44351
46 81463 81509
56 82073 82129
64 89689 89753
68 134513 134581
86 155921 156007
66 162143 162209
70 173359 173429
78 188029 188107
76 212701 212777
82 265621 265703
96 360653 360749
112 370261 370373
100 396733 396833
74 404597 404671
90 404851 404941
84 461717 461801
114 492113 492227
80 542603 542683
88 544279 544367
98 604073 604171
92 927869 927961
106 1098847 1098953
94 1100977 1101071
118 1349533 1349651
132 1357201 1357333
104 1388483 1388587
102 1444309 1444411
110 1468277 1468387
126 1671781 1671907
120 1895359 1895479
148 2010733 2010881
108 2238823 2238931
122 3117299 3117421
138 3826019 3826157
128 3851459 3851587
154 4652353 4652507
130 5518687 5518817
116 5845193 5845309
146 6034247 6034393
136 6371401 6371537
124 6752623 6752747
134 6958667 6958801
140 7621259 7621399
152 8421251 8421403
142 10343761 10343903
144 11981443 11981587
150 13626257 13626407
180 17051707 17051887
156 17983717 17983873
164 20285099 20285263
210 20831323 20831533
170 27915737 27915907
160 33803689 33803849
182 36271601 36271783
168 37305713 37305881
176 38089277 38089453
172 38394127 38394299
162 39175217 39175379
178 39389989 39390167
198 46006769 46006967
220 47326693 47326913
158 49269581 49269739
174 52721113 52721287
196 70396393 70396589
184 79167733 79167917
166 83751121 83751287
202 107534587 107534789
204 112098817 112099021
222 122164747 122164969
192 123454691 123454883
188 134065829 134066017
190 142414669 142414859
186 147684137 147684323
194 166726367 166726561
234 189695659 189695893
248 191912783 191913031
208 192983851 192984059
216 202551667 202551883
212 215949407 215949619
236 216668603 216668839
206 232423823 232424029
214 253878403 253878617
218 327966101 327966319
242 367876529 367876771
200 378043979 378044179
250 387096133 387096383
240 391995431 391995671
224 409866323 409866547
282 436273009 436273291
226 519653371 519653597
232 525436489 525436721
246 555142061 555142307
230 607010093 607010323
252 630045137 630045389
276 649580171 649580447
238 673919143 673919381
244 693103639 693103883
228 895858039 895858267
260 944192807 944193067
254 1202442089 1202442343
274 1282463269 1282463543
288 1294268491 1294268779
258 1316355323 1316355581
270 1391048047 1391048317
266 1438779821 1438780087
292 1453168141 1453168433
268 1579306789 1579307057
262 1649328997 1649329259
284 1667186459 1667186743
272 1851255191 1851255463
280 1855047163 1855047443
256 1872851947 1872852203
290 1948819133 1948819423
320 2300942549 2300942869
264 2357881993 2357882257
304 2433630109 2433630413
286 2842739311 2842739597
336 3842610773 3842611109
306 3917587237 3917587543
310 4024713661 4024713971
278 4260928601 4260928879
354 4302407359 4302407713
318 4372999721 4373000039
300 4758958741 4758959041
296 5260030511 5260030807
308 5490459101 5490459409
Most interesting! I think this could be worthy of a task itself - What is the lowest even number that isn't a prime gap for primes up to 1,000, 10,000, 100,000, 1,000,000 etc. - assuming that isn't a task already... Although it is somewhat simpler than this task. --Tigerofdarkness (talk) 19:06, 20 November 2021 (UTC)
an longer table: | First occurrence prime gaps