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Friedman n.  and  strong prime

First numbers that belong to both sets:

127, 347, 2503, 12107, 15641, 15661, 15667, 15679, 16447, 16759, 16879, 28547, 29527, 32771, 39313, 43691, 45361, 46619, 46633, 48751, 48757, 49277, 59051, 59263, 59273, 74353, 78163, 102497, 103681, 109357, 115249, 116827, 117571, 117643, 117659, 118543, 125017, 125053, 125093, 126397, 132527, 132679, 137623, 137791, 139967, 146417, 147397, 147449, 151273, 151379, 156127, 156217, 156227, 156253, 156257, 157393, 157457, 160243, 161047, 163841, 166393, 176699, 181243, 186569, 186619, 194471, 194521, 195311, 205391, 209953, 216023, 216061, 216091, 227467, 229373, 234259, 234281, 234571, 235273, 235673, 238331, 241663, 244379, 245963, 247301, 248593, 249853, 250007, 250027, 250049, 254369, 256049, 259099, 259201, 262147, 262151, 262187, 262313, 262387, 265231, 265619, 265729, 265739, 268757, 278479, 279443, 279761, 279847, 279857, 279941, 279967, 285721, 285749, 285763, 287681, 289453, 290531, 294887, 294911, 295237, 300733, 314569, 314927, 323369, 326561, 326657, 328511, 331769, 343037, 344611, 345749, 345869, 352489, 352831, 354371, 354971, 365471, 371549, 373297, 383657, 387253, 387577, 389527, 389659, 417577, 427723, 444523, 444527, 446189, 455627, 456979, 458719, 458789, 466561, 470593, 470597, 472391, 493043, 493873, 512657, 522673, 524171, 524197, 531197, 531457, 531689, 532907, 536929, 537841, 537877, 547387, 562691, 568657, 571453, 573473, 573479, 575417, 583447, 585643, 588167, 588667, 589847, 596977, 614129, 614657, 629857, 635917, 636817, 649529, 658573, 662833, 663581, 663587, 666727, 681833, 682277, 683437, 691489, 742579, 746503, 746839, 753569, 754279, 759287, 759359, 759371, 759463, 762959, 768641, 781243, 786329, 786431, 810343, 823177, 823447, 823541, 830497, 837367, 843757, 844279, 859423, 902501, 902563, 902591, 902597, 912647, 921601, 923501, 927361, 937501, 937571, 937589, 953321, 953341, 972197, 976553, 976559.