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cyclic n.  and  inconsummate n.

First numbers that belong to both sets:

65, 95, 161, 173, 371, 377, 383, 395, 411, 431, 443, 461, 491, 493, 521, 527, 533, 553, 563, 573, 623, 635, 761, 771, 785, 795, 821, 827, 839, 933, 941, 971, 983, 1037, 1041, 1043, 1049, 1173, 1271, 1437, 1481, 1487, 1493, 1499, 1527, 1541, 1553, 1571, 1601, 1605, 1631, 1643, 1649, 1745, 1811, 1871, 1895, 1931, 2049, 2093, 2147, 2153, 2177, 2207, 2261, 2477, 2481, 2537, 2555, 2591, 2603, 2609, 2643, 2753, 2911, 2921, 2993, 3037, 3041, 3053, 3083, 3093, 3107, 3137, 3147, 3149, 3221, 3247, 3251, 3257, 3263, 3281, 3287, 3291, 3307, 3317, 3327, 3329, 3371, 3383, 3551, 3581, 3587, 3593, 3621, 3647, 3651, 3657, 3659, 3661, 3665, 3677, 3687, 3697, 3701, 3707, 3713, 3719, 3731, 3733, 3743, 3749, 3761, 3767, 3787, 3791, 3793, 3797, 3803, 3809, 3815, 3821, 3827, 3831, 3849, 3855, 3863, 3867, 3869, 3941, 3945, 3983, 4037, 4043, 4049, 4091, 4097, 4099, 4101, 4103, 4109, 4121, 4127, 4151, 4157, 4183, 4187, 4193, 4199, 4219, 4227, 4233, 4241, 4253, 4265, 4271, 4273, 4283, 4299, 4309, 4313, 4323, 4343, 4349, 4353, 4373, 4379, 4409, 4415, 4461, 4471, 4487, 4493, 4497, 4499, 4521, 4533, 4541, 4553, 4571, 4597, 4601, 4631, 4643, 4649, 4709, 4749, 4763, 4793, 4811, 4817, 4821, 4829, 4841, 4853, 4857, 4859, 4865, 4871, 4899, 4919, 4931, 4967, 4973, 4979, 5147, 5153, 5177, 5199, 5205, 5231, 5267, 5297, 5303, 5309, 5315, 5363, 5393, 5423, 5453, 5477, 5489, 5507, 5573, 5613, 5615, 5639, 5645, 5723, 5745, 5777, 5881, 5921, 5927, 5933, 5993, 6037, 6041, 6053, 6107, 6113, 6119, 6185, 6189, 6221, 6285, 6389, 6437, 6551, 6581, 6587, 6593, 6621, 6637, 6659, 6881, 6887, 6977, 6997, 6999, 7031, 7033, 7037, 7043, 7049, 7053, 7181, 7217, 7223, 7277.

Some larger examples :