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good prime  and  inconsummate n.

First numbers that belong to both sets:

431, 563, 821, 1871, 2609, 3251, 3821, 4871, 4931, 4967, 5639, 6037, 6551, 6637, 6659, 8597, 8663, 9371, 10037, 10847, 10853, 11057, 11777, 14321, 14369, 14387, 14699, 15053, 15227, 16811, 20681, 20717, 20981, 21467, 23537, 24917, 25577, 27611, 28277, 28537, 31147, 32027, 32051, 32057, 33287, 35951, 36467, 36527, 38669, 40697, 40751, 40759, 41039, 41141, 41879, 44483, 47111, 48407, 48989, 51407, 54251, 55619, 56437, 61211, 64577, 64877, 65027, 65099, 65407, 65537, 66337, 69677, 69737, 69761, 69809, 69821, 69827, 70099, 75149, 77237, 80651, 84047, 84947, 89363, 92177, 92567, 92639, 94307, 97367, 98207, 98369, 98837, 98867, 100357, 100907, 103289, 103391, 106087, 106181, 106187, 107837, 108707, 114547, 114593, 127031, 128099, 128147, 131687, 132491, 134837, 139241, 143387, 143477, 144139, 144161, 145391, 145451, 148061, 148139, 156671, 157007, 157163, 158507, 159059, 159389, 159617, 162251, 165287, 166541, 166601, 168977, 169217, 175937, 176201, 177887, 178481, 181199, 184487, 185519, 190523, 191441, 194681, 195047, 195677, 201401, 201473, 201767, 205031, 205817, 205937, 207287, 209201, 216569, 216647, 228281, 234083, 236681, 236699, 240551, 240587, 243461, 244109, 244121, 246497, 246599, 250949, 253229, 253307, 254729, 257219, 257837, 257861, 261959, 264731, 266837, 268721, 273881, 274061, 274661, 274811, 279407, 280097, 280451, 280487, 280583, 288179, 288647, 294167, 295699, 295751, 300137, 300149, 300581, 300647, 302507, 302747, 302831, 303257, 311537, 311677, 311951, 311957, 312007, 312029, 312197, 313127, 315407, 316031, 317321, 317591, 318173, 318179, 323899, 324067, 333269, 334331, 334987, 336029, 336491, 336521, 336527, 340337, 340577, 340877, 343237, 350429, 350699, 360803, 360821, 361211, 361217, 361313, 361349, 361763, 362897, 362927, 362951, 363257, 363359, 369791, 369821, 369827, 369947, 371131, 371837, 373937, 382229, 382493, 383393, 388691, 391691, 392033, 392087, 392099, 405221, 414017, 417089, 417113, 422537, 426737, 429197, 430697, 430739, 448667, 462491, 463741, 463823, 473141, 473159, 485819, 486023, 486041, 486281, 493013, 503207, 504767, 516161, 516947, 524801, 540167.

Some larger examples :