Number TheoryChallengeHard Number Theory ShareHard Number Theory · Challenge problemHow many ordered triples of integers (a,b,c)(a, b, c)(a,b,c) satisfy a2+b2+c2=22026a^2 + b^2 + c^2 = 2^{2026}a2+b2+c2=22026?Check Show answer Walk through it step by step Practice more like this Review this concept