2 × 7 × 29 × 79 × 113
1, 2, 7, 14, 29, 58, 79, 113, 158, 203, 226, 406, 553, 791, 1106, 1582, 2291, 3277, 4582, 6554, 8927, 16037, 17854, 22939, 32074, 45878, 62489, 124978, 258883, 517766, 1812181 and 3624362
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.