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The following is a list of binomial coefficients  such that both  and  are prime. This sequence is ordered by the size of n
and not by the size of . The entry 54, 26, 16 indicates that  and  form a twin prime pair whose decimal expansions
contain 16 digits. This list is complete for all values up to n=1352 and  . This sequence was initially generated using a
probable prime algorithm and a maple program. Each candidate was then proven prime using
Chris Nash's program Primeform.
4, 2, 1
11, 5, 3
54, 26, 16
69, 13, 14
77, 35, 23
89, 44, 26
91, 37, 26
155, 23, 28
173, 78, 51
199, 46, 46
202, 34, 39
202, 69, 56
208, 44, 46
218, 106, 65
245, 41, 47
272, 50, 56
286, 90, 77
293, 89, 77
293, 132, 87
323, 107, 88
324, 137, 95
347, 143, 101
368, 184, 110
370, 145, 107
373, 133, 105
379, 166, 112
413, 181, 122
489, 82, 95
512, 158, 136
514, 198, 148
533, 157, 139
549, 175, 148
552, 183, 151
558, 163, 145
637, 317, 191
650, 293, 193
674, 140, 149
731, 123, 143
749, 317, 221
759, 251, 208
771, 218, 198
773, 169, 175
782, 170, 177
783, 103, 132
787, 327, 231
811, 229, 209
849, 329, 245
850, 73, 107
883, 190, 199
896, 79, 115
902, 51, 84
927, 95, 132
937, 79, 117
1000, 290, 260
1028, 395, 296
1028, 432, 303
1039, 126, 166
1073, 465, 318
1103, 194, 222
1127, 107, 153
1209, 355, 317
1223, 278, 284
1266, 335, 317
1283, 269, 285
1308, 329, 319
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