34 × 29 × 151 × 557
1, 3, 9, 27, 29, 81, 87, 151, 261, 453, 557, 783, 1359, 1671, 2349, 4077, 4379, 5013, 12231, 13137, 15039, 16153, 39411, 45117, 48459, 84107, 118233, 145377, 252321, 354699, 436131, 756963, 1308393, 2270889, 2439103, 6812667, 7317309, 21951927, 65855781 and 197567343
No.
Its nearest Fibonacci number neighbors are 165580141 and 267914296.