  The Gaussian moat problem asks whether it is possible to find an infinite
sequence of distinct Gaussian prime numbers such that the difference between
consecutive numbers in the sequence is bounded. In this paper, we have proved
that the answer is `No', that is an infinite sequence of distinct Gaussian
prime numbers can not be bounded by an absolute constant, for the Gaussian
primes $p=a^2+b^2$ with $a,b\neq0$. We consider each prime $(a,b)$ as a lattice
point on the complex plane and use their properties to prove the main result.
