Random number within a range biased towards the minimum value of that range

I want to generate random numbers within a range (1 - 100000), but instead of purely random I want the results to be based on a kind of distribution. What I mean that in general I want the numbers "clustered" around the minimum value of the range (1).

I've read about Box–Muller transform and normal distributions but I'm not quite sure how to use them to achieve the number generator.

How can I achieve such an algorithm using C#?