3 × 7 × 13 × 29 × 14503
1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917, 14503, 43509, 101521, 188539, 304563, 420587, 565617, 1261761, 1319773, 2944109, 3959319, 5467631, 8832327, 16402893, 38273417 and 114820251
No.
Its nearest Fibonacci number neighbors are 102334155 and 165580141.