2 × 3 × 5 × 7 × 19
1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995 and 3990
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.