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inconsummate n.  and  weak prime

First numbers that belong to both sets:

383, 443, 491, 761, 839, 941, 971, 983, 1493, 1499, 1553, 1571, 1601, 1811, 2207, 2477, 2753, 3041, 3083, 3137, 3221, 3593, 3677, 3701, 3797, 3803, 3863, 4099, 4219, 4273, 4373, 4493, 4643, 4793, 4817, 4919, 4973, 5153, 5309, 5507, 5573, 5881, 5927, 6053, 6221, 6581, 7043, 7541, 7643, 7649, 8093, 8171, 8543, 8609, 8693, 8741, 8753, 8783, 8807, 8933, 9137, 9257, 9293, 9323, 9551, 9743, 9749, 9887, 10181, 10259, 10337, 11087, 11261, 11491, 11597, 11927, 12149, 12437, 12641, 12671, 13037, 13697, 14033, 14153, 14177, 14207, 14327, 14537, 14657, 14717, 14759, 14771, 14831, 14891, 14897, 15107, 15149, 15671, 15881, 16481, 16661, 16673, 17033, 17321, 17627, 17737, 17981, 18149, 18257, 19037, 19163, 19237, 19763, 19937, 20177, 20327, 20369, 20393, 20753, 21149, 21401, 21407, 21617, 22031, 22067, 22511, 22643, 22811, 22877, 23677, 23753, 23981, 24083, 24251, 24281, 24443, 24767, 24809, 25037, 25097, 25121, 25127, 25457, 25703, 25919, 26003, 26237, 26423, 26437, 27017, 27617, 28031, 28163, 28433, 28499, 28607, 28703, 28817, 28871, 28961, 29027, 29033, 29137, 29231, 29429, 29531, 29537, 29837, 29921, 30347, 30593, 30677, 30707, 30881, 30893, 30911, 31091, 31193, 31237, 31259, 31277, 31337, 31397, 31481, 31517, 31547, 31607, 31751, 31799, 31817, 31907, 31991, 32069, 32099, 32237, 32327, 32381, 32429, 32507, 32537, 32573, 32579, 32621, 32843, 32987, 33029, 33037, 33203, 33317, 33581, 33647, 33863, 34033, 34061, 34217, 34337, 34369, 34439, 34607, 34703, 34781, 34819, 35027, 35159, 35171, 35257, 35291, 35327, 35537, 35759, 35879, 36017, 36137, 36161, 36191, 36251, 36269, 36277, 36457, 36473, 36479, 36497, 36571, 36587, 36607, 36653, 36697, 36767, 36857, 36877, 36887, 36923, 36931, 36947, 36979, 37003, 37021, 37061, 37097, 37139, 37253, 37313, 37379, 37409, 37447, 37579, 37619, 37649, 37853, 37879, 37967, 38153, 38189, 38201, 38393, 38453, 38639, 38933, 38993, 39107.

Some larger examples :