3 × 7 × 13 × 281 × 14503
1, 3, 7, 13, 21, 39, 91, 273, 281, 843, 1967, 3653, 5901, 10959, 14503, 25571, 43509, 76713, 101521, 188539, 304563, 565617, 1319773, 3959319, 4075343, 12226029, 28527401, 52979459, 85582203, 158938377, 370856213 and 1112568639
No.
Its nearest Fibonacci number neighbors are 701408733 and 1134903170.