2 × 3 × 11 × 271 × 9091
1, 2, 3, 6, 11, 22, 33, 66, 271, 542, 813, 1626, 2981, 5962, 8943, 9091, 17886, 18182, 27273, 54546, 100001, 200002, 300003, 600006, 2463661, 4927322, 7390983, 14781966, 27100271, 54200542, 81300813 and 162601626
No.
Its nearest Fibonacci number neighbors are 102334155 and 165580141.