I have known a few prodigies in my life in a range of fields from math to violin. I am almost in that category myself since I went to college at age 15 and could have done it earlier if I had known how.
The first time the issue of raising a prodigy confronted me was when I was dating a very beautiful and sweet suburban woman who had a brilliant four-year-old son. I spent as much time as I could with the boy but his mother was not sufficient reason for driving to the suburbs.
The house had no books, the mother hired babysitters who were no brighter than she.
The boy was starved for stimulus and information. We spent hours discussing everything he was curious about.
I thought a great deal about it and realized he was lacking in real world stimulus and probably would be so for the important coming formative years.
I never expected him to develop his extraordinary talent and intelligence. Years later I met his mother again and learned that he was living in the mountains with several strange collections ( Japanese swords) and married to a woman who shared his eccentricities.
Our society has no solution for such prodigies. I’m sure, mathematically, that many prodigies have ordinary and below ordinary parents. My life was filled with stimulus but I was not happy until I met a few brilliant fellow students at the University of Chicago.
The Internet may be helpful in this regard. I hope so. I started a program for math prodigies to contact and work with a math professor at Stanford in the early 1980s. That sort of mentorship may be easier to facilitate these days.