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weak prime  and  weakly prime

First numbers that belong to both sets:

294001, 971767, 1282529, 1524181, 2017963, 2474431, 2690201, 3085553, 4393139, 6191371, 6712591, 7469797, 7982543, 8090057, 9537371, 10506191, 14151757, 15973733, 16497121, 17424721, 19851991, 20212327, 20414561, 21496661, 21717601, 22431391, 23274191, 23462969, 25768091, 25948847, 26024267, 26521721, 27465103, 27469241, 28046353, 28978889, 29136091, 29638519, 30915637, 30964013, 32524313, 33051769, 34586371, 35355923, 35954509, 37074487, 37448137, 38530123, 39689597, 41745331, 41980441, 43924399, 44617561, 44750351, 45420457, 46031123, 48441331, 49259803, 49353841, 50030077, 50471857, 50729603, 53420963, 53751119, 53977403, 54048263, 54292081, 54559123, 55204889, 56660599, 56690071, 57013823, 57375139, 57980963, 58020581, 58091653, 58107953, 58366619, 58572593, 59088739, 59704529, 60949807, 61089089, 61552901, 62324861, 62444033, 62552489, 62725253, 63359161, 64085921, 64087411, 65040751, 65366051, 65702393, 65947213, 66854549, 67296517, 67489091, 67715653, 69315427, 69505109, 69912431, 70078549, 70717291, 71364053, 71370853, 72519631, 72673213, 73179193, 74143801, 74190419, 76297087, 76456141, 76828823, 77250497, 77438461, 77444701, 77540017, 78050209, 78440119, 78712681, 78958211, 79477127, 79833133, 80054363, 80286407, 80468587, 81434501, 81536501, 81811589, 82087813, 82742243, 83127119, 83610599, 83880829, 85468223, 85637089, 87055763, 87303817, 87517271, 87615019, 89006641, 89819413, 92305589, 92782441, 93573091, 93831383, 94874159, 95532289, 97165001, 97283321, 97518247, 97551143, 98285017, 98451193, 98643439, 98750609.