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cyclic n.  and  Ormiston pair

First numbers that belong to both sets:

1913, 1931, 18379, 18397, 19013, 19031, 25013, 25031, 34613, 34631, 35617, 35671, 35879, 35897, 36979, 36997, 37379, 37397, 37813, 37831, 40013, 40031, 40213, 40231, 40639, 40693, 45613, 45631, 48091, 48109, 49279, 49297, 51613, 51631, 55313, 55331, 56179, 56197, 56713, 56731, 58613, 58631, 63079, 63097, 63179, 63197, 64091, 64109, 65479, 65497, 66413, 66431, 74779, 74797, 75913, 75931, 76213, 76231, 76579, 76597, 76679, 76697, 85313, 85331, 88379, 88397, 90379, 90397, 90679, 90697, 93113, 93131, 94379, 94397, 96079, 96097, 97213, 97231, 98737, 98773, 109279, 109297, 112979, 112997, 114013, 114031, 115613, 115631, 116113, 116131, 116293, 116329, 122579, 122597, 123379, 123397, 124213, 124231, 126079, 126097, 126613, 126631, 127979, 127997, 128413, 128431, 131413, 131431, 131713, 131731, 133813, 133831, 135479, 135497, 139091, 139109, 139813, 139831, 140779, 140797, 144013, 144031, 145091, 145109, 145879, 145897, 147179, 147197, 151579, 151597, 152879, 152897, 159079, 159097, 162091, 162109, 163679, 163697, 164513, 164531, 171679, 171697, 174413, 174431, 178513, 178531, 182279, 182297, 184013, 184031, 187237, 187273, 187513, 187531, 190979, 190997, 193013, 193031, 194179, 194197, 194413, 194431, 201979, 201997, 211979, 211997, 215279, 215297, 216379, 216397, 222713, 222731, 224813, 224831, 227113, 227131, 228713, 228731, 231613, 231631, 235979, 235997, 239713, 239731, 240113, 240131, 240437, 240473, 244091, 244109, 246713, 246731, 249779, 249797, 250091, 250109, 254179, 254197, 256813, 256831, 260213, 260231, 269579, 269597, 271079, 271097, 271879, 271897, 273979, 273997, 276781, 276817, 277279, 277297, 277513, 277531, 277579, 277597, 280013, 280031, 280979, 280997, 286813, 286831, 287579, 287597, 290879, 290897, 293413, 293431, 301813, 301831, 304813, 304831, 309713, 309731, 310379, 310397, 312313, 312331, 321091, 321109, 326479, 326497, 327779, 327797, 336613, 336631, 338213, 338231, 343337, 343373, 345413, 345431, 345979, 345997, 349313, 349331, 351079, 351097, 351479, 351497, 351779, 351797, 355679, 355697, 357179, 357197, 357437, 357473, 359783, 359837, 363379, 363397, 365213, 365231, 366479, 366497, 369079, 369097.

Some larger examples :