Generating random points then connecting points less than certain distance away - latex

Question

I currently have the code below which produces the later output. I would like to generate the 10 points randomly as I already am. But instead of having blue dashed lines connecting to the the location (0,0), I want them to connect to the other dots if the distance is less than 4cm away.
I attempted things such as storing the data into arrays but updating and accessing the values was not working. I attempted nested for loops but handling the seed became difficult. What is a good way to do this?
\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[step=0.5cm,color=gray] (-2.5,-2.5) grid (2.5,2.5);
\pgfmathsetseed{2}
\foreach \x in {1,...,10}
{
\pgfmathrandominteger{\a}{-240}{240}
\pgfmathrandominteger{\b}{-240}{240}
\fill [color=red,anchor=center](\a*0.01,\b*0.01) circle (0.1);
% CHANGE HERE
\draw [color=blue,densely dotted] (\a*0.01,\b*0.01) -- (0.0,0.0);
};
\end{tikzpicture}
\end{document}

Answer 1

I seemed to have figured out a solution (not ideal but works for this case).
The key was to use the \pgfmathparse for performing the if statement to get a 0 or 1 to use in \ifnum.
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{math}
\begin{document}
\begin{tikzpicture}
\draw[step=0.5cm,color=gray] (-2.5,-2.5) grid (2.5,2.5);
\pgfmathsetseed{2}
\foreach \x in {1,...,10}
{
\pgfmathrandominteger{\a}{-240}{240}
\pgfmathrandominteger{\b}{-240}{240}
\fill [color=red,anchor=center](\a*0.01,\b*0.01) circle (0.1);
\pgfmathsetseed{2}
\foreach \y in {0,...,\x}
{
\pgfmathrandominteger{\c}{-240}{240}
\pgfmathrandominteger{\d}{-240}{240}
\tikzmath{\i=(\a*0.01-\c*0.01)^2;}
\tikzmath{\j=(\b*0.01-\d*0.01)^2;}
\tikzmath{\k=\i+\j;}
\pgfmathparse{\k < 4.0 ? 1 : 0}
\ifnum\pgfmathresult=1
\draw [color=blue,densely dotted] (\a*0.01,\b*0.01) -- (\c*0.01,\d*0.01);
\fi
};
};
\end{tikzpicture}
\end{document}