/sci/ - Science & Math

Alright /sci/, I posted this about 4 days ago, and even though some came close, no actual solution had been found.

So, let's try to get it this time, I hope you programmers out there can help me.

How to find all the answers to the equation in the pic (a^3 + b^4 = c^5) for c ≤ 10000 (so, all the answers up to a 10000) and display them in a list. God tier would be to only display whole numbers (no decimals) in the list (because those are the solutions I'm looking for).

Please help!

After posting both problems, with the first one solved quickly, the second (quite hard one) approached reasonably, I now need one final input!

If anyone could show me, a complete programming-layman, how to calculate all the answers for c<10000 (of course, with c being a whole number, no decimals), and display them in a list.

God-mode: calculate all the answers for c<10000, and display only the whole numbers (no decimals) in the list!