3 × 11 × 239 × 909091
1, 3, 11, 33, 239, 717, 2629, 7887, 909091, 2727273, 10000001, 30000003, 217272749, 651818247, 2390000239 and 7170000717
No.
Its nearest Fibonacci number neighbors are 4807526976 and 7778742049.