3 × 13 × 67 × 107 × 630803
1, 3, 13, 39, 67, 107, 201, 321, 871, 1391, 2613, 4173, 7169, 21507, 93197, 279591, 630803, 1892409, 8200439, 24601317, 42263801, 67495921, 126791403, 202487763, 549429413, 877446973, 1648288239, 2632340919, 4522226707, 13566680121, 58788947191 and 176366841573
No.
Its nearest Fibonacci number neighbors are 139583862445 and 225851433717.