A031885 Lucky numbers with smallest increasing gaps (upper terms).

3, 7, 21, 87, 151, 63, 801, 511, 189, 957, 925, 769, 2877, 1639, 1087, 3843, 5803, 4929, 8757, 10723, 9883, 24117, 9613, 28293, 25737, 3559, 36997, 35799, 44863, 52039, 64785, 23269, 50845, 51543