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good prime  and  Ormiston pair

First numbers that belong to both sets:

40693, 94397, 112997, 131413, 131431, 244109, 345413, 371779, 599213, 599231, 668471, 720931, 822113, 822131, 961393, 1041109, 1055713, 1055731, 1063379, 1063397, 1104079, 1104097, 1146697, 1174231, 1237031, 1245379, 1245397, 1309531, 1374473, 1375531, 1377107, 1392679, 1392697, 1533379, 1533397, 1601107, 1666297, 1724131, 1972031, 2134831, 2362109, 2409091, 2434031, 2611597, 2791531, 2918231, 2959631, 3275471, 3486079, 3486097, 3498191, 3583579, 3583597, 4324979, 4410079, 4410097, 4419071, 4525091, 4525109, 4550197, 4602173, 4607279, 4607297, 4656797, 4668107, 4773479, 4773497, 4780379, 4780397, 4800773, 5200379, 5212673, 5236879, 5236897, 5289071, 5372173, 5556071, 5578813, 5578831, 5607131, 5984497, 5997631, 6098713, 6193771, 6195731, 6278479, 6278497, 6528497, 6842131, 6917531, 7177031, 7238897, 7259297, 7471931, 7474097, 7583431, 7792913, 7792931, 7834817, 8108731, 8278279, 8278297, 8469397, 8632279, 8632297, 8746679, 8746697, 9028337, 9028373, 9029071, 9292397, 9438379, 9564571, 9718913, 9718931, 9721013, 9721031, 9725327, 9779779, 9779797, 9990797, 10376497, 10383731, 10770479, 10770497, 10824491, 11133779, 11133797, 11141279, 11141297, 11146613, 11146631, 11451071, 11453873, 11512973, 11536471, 11681273, 11922497, 12004271, 12037973, 12095179, 12095197, 12206473, 12598213, 12598231, 13100513, 13100531, 13516331, 13547293, 13547329, 13655093, 13748993, 13779091, 13779109, 13994797, 14057713, 14057731, 14195473, 14465813, 14465831, 14658817, 14701837, 14763997, 14968897, 15014327, 15021473, 15080873, 15082597, 15406327, 15449773, 15450013, 15450031, 15451897, 16338997, 16382791, 16586093, 17254331, 17314091, 17473873, 17668877, 17899373, 18229573, 19376293, 19684373, 19687693, 19724093, 20139109, 20139773, 21524593, 21834413, 21834431, 22222327, 22294931, 22476983, 22820279, 23217731, 23404273, 24215413, 24215431, 24221767, 24274897, 24855197, 25257797, 25733413, 25789097, 25909837, 26249879, 26261713, 26261731, 26762513, 26762531, 27039479, 27039497, 27044837, 27503779, 27503797, 28001713, 28001731, 28841513, 28841531, 29058473, 29507879, 29507897, 29514613, 29514631, 29583731, 29926279, 29926297, 30126713, 30126731, 30173431, 31106219, 31183913, 31183931, 32027173, 32092297, 32235113, 32235131, 32521817, 32652379, 32652397, 32880781, 32880817, 33540193, 33629593, 33753197, 34201613, 34201631, 34253173, 34353731, 34677931, 34851391, 35098379, 35098397, 35135987, 35295413, 35295431, 35305973, 35590813, 35590831, 36244771, 37452931, 37823873, 37900697, 38163379, 38163397, 38584397, 38590379, 38590397, 39108103, 39199379, 39199397, 39482873, 39944279, 39944297, 39965173, 40047779, 40047797, 40068079, 40068097.

Some larger examples :