Search a number
d-powerful n.  and  prime n.

First numbers that belong to both sets:

2, 3, 5, 7, 43, 89, 283, 373, 379, 463, 739, 2063, 2083, 2131, 2137, 2179, 2203, 2243, 2333, 2423, 2753, 2803, 2843, 2939, 2953, 3167, 3257, 3457, 3527, 3943, 3947, 4133, 4153, 4157, 4159, 4241, 4243, 4261, 4339, 4373, 4397, 4447, 4649, 4733, 4933, 4951, 4957, 5323, 5653, 5657, 6247, 6793, 7639, 8209, 8243, 8263, 8443, 8623, 8647, 8971, 9697, 10723, 12343, 12347, 13337, 13933, 14369, 16363, 16433, 16453, 16477, 16729, 16927, 17443, 17483, 17737, 18617, 20483, 20887, 21323, 22247, 22283, 22447, 22573, 22643, 22973, 23053, 23297, 23327, 23417, 23473, 23497, 23549, 23563, 23743, 23747, 23857, 24043, 24137, 24229, 24337, 24373, 24379, 24593, 24623, 24683, 24733, 24841, 24847, 24953, 24977, 25127, 25237, 25253, 25367, 25439, 25453, 25657, 26153, 26249, 26339, 26393, 26647, 26713, 27253, 27361, 27367, 27479, 27527, 27617, 27697, 27749, 28403, 28513, 28603, 29347, 29947, 30341, 30347, 32297, 32327, 32587, 32749, 32783, 32789, 32831, 32833, 32839, 32941, 32969, 32983, 32987, 33023, 33029, 33223, 33247, 33427, 33623, 33757, 33829, 34217, 34231, 34297, 34327, 34367, 34439, 34981, 35081, 35083, 35089, 35221, 35227, 35447, 35809, 35933, 36277, 36343, 36457, 36473, 36497, 36637, 36877, 37223, 37243, 37423, 37483, 37663, 37997, 39373, 39443, 39623, 39827, 39869, 42407, 42683, 42689, 42863, 42953, 44449, 44641, 44647, 44683, 46771, 46933, 46993, 47363, 47563, 47639, 47653, 47699, 49727, 49891, 52583, 52639, 52709, 52783, 52837, 54727, 55843, 56633, 59063, 59069, 59243, 59263, 59333, 59357, 59443, 59467, 59791, 59797, 59863, 59957, 60289, 60337, 60353, 60397, 60737, 61673, 62539, 62753, 63149, 63299, 63473, 63493, 63527, 63697, 63761, 64283, 64333, 64663, 64793, 64937, 65839, 66359, 66863, 67343, 67433, 67493, 68449, 68669, 68777, 69473, 72497, 73643, 74293, 74323, 74363, 74923, 75937, 75991, 75997, 76079, 76369, 76943, 77849, 78541, 78653, 79283, 79843, 80537.

Some larger examples :