3 × 7 × 13 × 107 × 630803
1, 3, 7, 13, 21, 39, 91, 107, 273, 321, 749, 1391, 2247, 4173, 9737, 29211, 630803, 1892409, 4415621, 8200439, 13246863, 24601317, 57403073, 67495921, 172209219, 202487763, 472471447, 877446973, 1417414341, 2632340919, 6142128811 and 18426386433
No.
Its nearest Fibonacci number neighbors are 12586269025 and 20365011074.