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a-pointer prime  and  strong prime

First numbers that belong to both sets:

11, 101, 631, 701, 1801, 2053, 2521, 5623, 10151, 10313, 11657, 12401, 12601, 15121, 17011, 20431, 22501, 23003, 23117, 23311, 23719, 32203, 32401, 33013, 33301, 41131, 43003, 43223, 43913, 44101, 50111, 50207, 50311, 50627, 52223, 54601, 55291, 60413, 66271, 71741, 72139, 83177, 100333, 100403, 100649, 101141, 101323, 101411, 102481, 103217, 104513, 104623, 110051, 110251, 111467, 111751, 112121, 112459, 112543, 112741, 114031, 114143, 114451, 115201, 118127, 120223, 122117, 123169, 124067, 124513, 126001, 131203, 135241, 136013, 141121, 144139, 154523, 160001, 161123, 171007, 172127, 174121, 175573, 175601, 181141, 200257, 200341, 205201, 211543, 211619, 212353, 214021, 216023, 218047, 218171, 225023, 227131, 230203, 231031, 232171, 240101, 241229, 241711, 242309, 254119, 260921, 264697, 265313, 273233, 274403, 277961, 282349, 291619, 300007, 300221, 301211, 303073, 307451, 308003, 318077, 318503, 321301, 322001, 322193, 330271, 334231, 340201, 340519, 355171, 358031, 360007, 360023, 365903, 382021, 382331, 391487, 392033, 394453, 400109, 401201, 402923, 403757, 404671, 405001, 406013, 411031, 411143, 412717, 412771, 413053, 414157, 422183, 426611, 433033, 433703, 436061, 438001, 450001, 453053, 453527, 465041, 500153, 501121, 504001, 504247, 510271, 510529, 511087, 518657, 520193, 522113, 527671, 540203, 541417, 546001, 552217, 552301, 555557, 566911, 593353, 600101, 601021, 606413, 611101, 623041, 623591, 631039, 634421, 650449, 650669, 651943, 661823, 701257, 707321, 709381, 712051, 712631, 712781, 726751, 730091, 730943, 733591, 745903, 753229, 760043, 764111, 793043, 801061, 803119, 812081, 815231, 821551, 837017, 856021, 864251, 904261, 912031, 932101, 939061, 945521, 951131, 951193, 969011, 983659, 1000151, 1001303, 1002227, 1002553, 1010501, 1011917, 1012307, 1012411, 1012903, 1013377, 1017061, 1020223, 1021183, 1022113, 1022201, 1022821, 1024021, 1024757, 1024823, 1027051, 1030723, 1032211, 1034147, 1034707, 1035061, 1040021, 1040629, 1043723, 1044971, 1050031, 1052851, 1063303, 1068061, 1076303, 1084403, 1094237, 1095023, 1100123, 1100303, 1100543, 1101283, 1101421, 1102523, 1103203, 1110803, 1112003, 1113011, 1120211, 1120303, 1120459, 1121221, 1121317, 1121333, 1122103, 1124509, 1127081.

Some larger examples :