2 × 137 × 18077 × 28657
1, 2, 137, 274, 18077, 28657, 36154, 57314, 2476549, 3926009, 4953098, 7852018, 518032589, 1036065178, 70970464693 and 141940929386
No.
Its nearest Fibonacci number neighbors are 139583862445 and 225851433717.