3 × 52 × 17 × 17749
1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275, 17749, 53247, 88745, 266235, 301733, 443725, 905199, 1331175, 1508665, 4525995, 7543325 and 22629975
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.