fFie x² nr. naturale patrate perfecte care trebuie aflate;
=> x²<2010 si
x²:192=k rest 64 <=> x²=192·k+64 <=> x²=3·64·k+64 <=> x²=64(3k+1)
<=> x²=2⁶(3k+1) <=> x=2³(3k+1) => x=8(3k+1)
Din x²<2010 => x²∈ {44, 43, 42, .....1}, dar x=8(3k+1)
pt. k=0 => x=8·1=8, x²=64<2010;
pt. k=1 => x=8·4=32, x²=32²=1024<2010;
pt. k=2 => x=8·7=56, x²=56²=3136>2010.
=> numerele cautate sunt: 64 si 1024.
