3 × 72 × 281 × 14503
1, 3, 7, 21, 49, 147, 281, 843, 1967, 5901, 13769, 14503, 41307, 43509, 101521, 304563, 710647, 2131941, 4075343, 12226029, 28527401, 85582203, 199691807 and 599075421
No.
Its nearest Fibonacci number neighbors are 433494437 and 701408733.