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Duffinian n.  and  uban n.

First numbers that belong to both sets:

8, 9, 16, 21, 25, 27, 32, 35, 36, 39, 49, 50, 55, 57, 63, 65, 75, 77, 81, 85, 93, 98, 1000000, 1000001, 1000007, 1000009, 1000011, 1000013, 1000015, 1000019, 1000021, 1000027, 1000029, 1000031, 1000043, 1000047, 1000049, 1000051, 1000053, 1000057, 1000061, 1000063, 1000067, 1000069, 1000073, 1000079, 1000083, 1000085, 1000087, 1000089, 1000091, 1000093, 1000097, 2000001, 2000005, 2000007, 2000009, 2000011, 2000017, 2000019, 2000021, 2000023, 2000033, 2000037, 2000041, 2000047, 2000051, 2000053, 2000057, 2000059, 2000063, 2000069, 2000071, 2000073, 2000077, 2000079, 2000087, 2000091, 2000095, 2000099, 3000001, 3000007, 3000009, 3000013, 3000019, 3000023, 3000031, 3000033, 3000037, 3000043, 3000049, 3000053, 3000055, 3000059, 3000065, 3000071, 3000079, 3000081, 3000083, 3000085, 3000087, 3000091, 3000095, 3000097, 3000099, 5000003, 5000005, 5000009, 5000015, 5000017, 5000021, 5000023, 5000027, 5000029, 5000033, 5000039, 5000041, 5000045, 5000047, 5000049, 5000051, 5000053, 5000057, 5000059, 5000063, 5000065, 5000069, 5000071, 5000075, 5000079, 5000089, 5000093, 5000095, 5000097, 5000099, 6000001, 6000003, 6000007, 6000013, 6000017, 6000019, 6000021, 6000025, 6000029, 6000031, 6000035, 6000037, 6000049, 6000051, 6000057, 6000067, 6000069, 6000077, 6000079, 6000083, 6000087, 6000089, 6000091, 6000097, 7000001, 7000007, 7000013, 7000021, 7000023, 7000025, 7000027, 7000029, 7000031, 7000037, 7000039, 7000041, 7000043, 7000045, 7000049, 7000051, 7000067, 7000073, 7000077, 7000079, 7000081, 7000083, 7000085, 7000091, 7000093, 7000097, 7000099, 8000000, 8000001, 8000003, 8000005, 8000011, 8000015, 8000021, 8000029, 8000031, 8000035, 8000039, 8000041, 8000047, 8000049, 8000057, 8000059, 8000065, 8000067, 8000069, 8000073, 8000077, 8000093, 8000095, 9000000, 9000001, 9000003, 9000007, 9000013, 9000017, 9000023, 9000025, 9000027, 9000029, 9000031, 9000035, 9000037, 9000043, 9000047, 9000055, 9000071, 9000073, 9000077, 9000079, 9000083, 9000085, 9000091, 9000095, 9000097, 9000099.