Quantum++ 0 Newbie Poster

How can I find/program a list of:
We only operate with natural numbers.

1. The prime numbers < 10 000
2. x = a^2 + b^2 < 10 000
3. x = a^3 + b^3 < 10 000
4. x = a^2 + b^2 + c^2 < 10 000
5. x = a^3 + b^3 + c^3 < 10 000

Thank you.