5 × 11 × 29 × 141961
1, 5, 11, 29, 55, 145, 319, 1595, 141961, 709805, 1561571, 4116869, 7807855, 20584345, 45285559 and 226427795
No.
Its nearest Fibonacci number neighbors are 165580141 and 267914296.