3 × 7 × 29 × 281 × 14503
1, 3, 7, 21, 29, 87, 203, 281, 609, 843, 1967, 5901, 8149, 14503, 24447, 43509, 57043, 101521, 171129, 304563, 420587, 1261761, 2944109, 4075343, 8832327, 12226029, 28527401, 85582203, 118184947, 354554841, 827294629 and 2481883887
No.
Its nearest Fibonacci number neighbors are 1836311903 and 2971215073.