3 × 5 × 29 × 43 × 113
1, 3, 5, 15, 29, 43, 87, 113, 129, 145, 215, 339, 435, 565, 645, 1247, 1695, 3277, 3741, 4859, 6235, 9831, 14577, 16385, 18705, 24295, 49155, 72885, 140911, 422733, 704555 and 2113665
No.
Its nearest Fibonacci number neighbors are 1346269 and 2178309.