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Friedman n.  and  weak prime

First numbers that belong to both sets:

12101, 12109, 15629, 16381, 21943, 27653, 28559, 29531, 32783, 35933, 36457, 39343, 46643, 46649, 46663, 46691, 58921, 59053, 64513, 83357, 103687, 104879, 108233, 114377, 114679, 117577, 117619, 117673, 117763, 118259, 118673, 122503, 124991, 125003, 125029, 125063, 127453, 127583, 127649, 129607, 131071, 131749, 132499, 132647, 132859, 139969, 140629, 143357, 147419, 147457, 151279, 153649, 156259, 157639, 161059, 165247, 177383, 179327, 186629, 186649, 186653, 187277, 194483, 196543, 196687, 205399, 207953, 215983, 216037, 216071, 221849, 225619, 231367, 234383, 234473, 236219, 237691, 238363, 242059, 246793, 247069, 247099, 248783, 249973, 250013, 250031, 250051, 250057, 250073, 253013, 253273, 259841, 261529, 261887, 262079, 262139, 262153, 263443, 264331, 268759, 273521, 274583, 274627, 276673, 278651, 279641, 279767, 279863, 287503, 287689, 294829, 295247, 295283, 311473, 312743, 319489, 326567, 326597, 326617, 326951, 328051, 328513, 328519, 328543, 343087, 345739, 347359, 352483, 352867, 354169, 354259, 357271, 357913, 365473, 371359, 379459, 385943, 388937, 389273, 389629, 432961, 438967, 453317, 453601, 455683, 458377, 458729, 458747, 458797, 458807, 459271, 466553, 468739, 472349, 472393, 472399, 474547, 475289, 479243, 487507, 493813, 512671, 524243, 524269, 524287, 524369, 524873, 531383, 531497, 532691, 535637, 537743, 537793, 537811, 546739, 551423, 559813, 567653, 573647, 585341, 588241, 589763, 592693, 592763, 597859, 597869, 624683, 627257, 629861, 635813, 637883, 647743, 656273, 681523, 723169, 725827, 725897, 728993, 742591, 746533, 746563, 752459, 753941, 765623, 766943, 768643, 773879, 776887, 786349, 786433, 803443, 823747, 823759, 857369, 857953, 874229, 884743, 902507, 902521, 902569, 902579, 902599, 913487, 923513, 937511, 937537, 937577, 937591, 944777, 946733, 956587, 958693, 995341, 995347.