7 × 13 × 29 × 281 × 14503
1, 7, 13, 29, 91, 203, 281, 377, 1967, 2639, 3653, 8149, 14503, 25571, 57043, 101521, 105937, 188539, 420587, 741559, 1319773, 2944109, 4075343, 5467631, 28527401, 38273417, 52979459, 118184947, 370856213, 827294629, 1536404311 and 10754830177
No.
Its nearest Fibonacci number neighbors are 7778742049 and 12586269025.