Search a number
balanced prime  and  super-d n.

First numbers that belong to both sets:

1123, 4013, 4597, 5113, 7823, 7841, 10607, 10657, 11731, 14543, 16097, 16619, 17431, 18731, 20521, 20731, 28069, 29269, 29599, 29873, 33857, 34631, 36067, 40471, 41947, 44519, 47869, 49069, 53623, 55793, 57119, 60509, 63493, 66431, 67169, 67619, 71843, 72031, 72481, 74471, 74489, 75181, 75533, 76487, 77081, 78173, 78259, 79411, 79823, 81001, 86981, 89113, 89393, 90511, 92581, 96377, 96431, 97441, 103567, 103669, 104953, 105367, 105373, 105607, 105613, 105977, 106297, 106681, 107581, 110681, 110933, 112181, 112297, 116719, 117757, 118831, 122579, 122833, 125107, 127843, 137131, 138107, 142019, 142369, 147347, 148867, 149441, 153443, 156241, 159521, 166081, 170081, 170767, 176401, 179369, 179969, 181439, 182969, 184669, 185267, 187367, 187373, 189169, 191467, 197773, 198817, 202231, 202841, 210631, 216731, 217069, 218749, 220919, 223253, 223481, 224591, 226663, 227219, 227419, 227581, 237331, 237619, 241817, 243533, 247141, 247421, 247451, 247901, 250919, 252431, 253481, 253969, 255127, 260999, 262369, 265163, 265471, 267569, 272417, 273187, 274081, 278617, 284813, 286381, 291293, 294211, 295219, 300569, 300967, 301907, 305131, 307669, 315269, 318419, 318431, 324131, 329281, 330749, 331081, 332617, 332699, 332779, 332791, 333433, 333673, 334177, 334183, 334777, 335261, 335579, 336157, 336181, 336593, 336983, 337201, 337633, 338309, 338461, 338573, 341191, 342653, 344237, 353069, 358471, 360071, 362081, 365231, 370511, 371633, 376847, 377981, 380753, 383011, 389369, 389761, 392531, 395719, 396443, 397057, 398569, 401237, 401689, 402071, 403889, 406507, 406981, 407573, 408217, 412019, 418751, 423097, 423103, 428557, 432097, 434179, 437219, 437357, 440717, 442837, 442861, 445097, 449381, 451547, 454507, 455419, 455881, 459829, 462073, 462131, 463297, 463747, 472057, 473513, 477881, 479581, 480749, 480761, 481531, 482627, 482731, 485941, 485959, 491719, 493231, 493573, 495289, 495389, 501719, 502669, 505481, 508097, 508931, 510299, 510919, 511001, 511261, 512269, 514853, 525247, 526601, 530203, 535181, 535511, 537169, 540251, 543503, 543877, 544177, 546631, 546881, 551219, 551569, 552821, 554797, 558769, 558881, 559231, 560023, 560459, 560719.

Some larger examples :