3 × 7 × 1087 × 2207 × 4481
1, 3, 7, 21, 1087, 2207, 3261, 4481, 6621, 7609, 13443, 15449, 22827, 31367, 46347, 94101, 2399009, 4870847, 7197027, 9889567, 14612541, 16793063, 29668701, 34095929, 50379189, 69226969, 102287787, 207680907, 10749959329, 32249877987, 75249715303 and 225749145909
No.
Its nearest Fibonacci number neighbors are 139583862445 and 225851433717.