2 × 3 × 7 × 13 × 257
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 257, 273, 514, 546, 771, 1542, 1799, 3341, 3598, 5397, 6682, 10023, 10794, 20046, 23387, 46774, 70161 and 140322
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.