3 × 7 × 13 × 67 × 630803
1, 3, 7, 13, 21, 39, 67, 91, 201, 273, 469, 871, 1407, 2613, 6097, 18291, 630803, 1892409, 4415621, 8200439, 13246863, 24601317, 42263801, 57403073, 126791403, 172209219, 295846607, 549429413, 887539821, 1648288239, 3846005891 and 11538017673
No.
Its nearest Fibonacci number neighbors are 7778742049 and 12586269025.