the diophantine forms of the equation $a^2 +b^3 = c^5$

Question

I just want to know the forms of the numbers a,b and c in the Diophantine equation:
$a^2 +b^3 = c^5$

Answer 1

See OEIS sequence A178130 $$\eqalign{104^2 + 28^3 &= 8^5\cr 654^2 + 127^3 &= 19^5\cr 2816^2 + 32^3 &= 24^5\cr 3912^2 + 124^3 &= 28^5\cr 4096^2 + 256^3 &= 32^5\cr 6048^2 + 288^3 &= 36^5\cr 48500^2 + 275^3 &= 75^5\cr 19683^2 + 1458^3 &= 81^5\cr 65216^2 + 1008^3 &= 88^5\cr 77824^2 + 1280^3 &= 96^5\cr \ldots}$$