5 × 11 × 101 × 151 × 3001
1, 5, 11, 55, 101, 151, 505, 755, 1111, 1661, 3001, 5555, 8305, 15005, 15251, 33011, 76255, 165055, 167761, 303101, 453151, 838805, 1515505, 2265755, 3334111, 4984661, 16670555, 24923305, 45768251, 228841255, 503450761 and 2517253805
No.
Its nearest Fibonacci number neighbors are 1836311903 and 2971215073.