Do they satisfy? (Part 3)

See Part 2 and Part 1 if you haven't.

\(P\) : sum of \(2\) nonnegative squares.

\(21\)
\(2017\)
\(2011^3 \cdot 7^{12}\)
\(2^{34857433} - 1\)
\(32493290\)
\(5130274\)
\(52554541\)
\(93390422178601\)