Generating Random numbers within some range, which can produce same series everytime

I'd like to generate some random numbers say between 100 and 10000 that can repeat after sometime(i.e., values can be repeated but should not repeat series after some point [10,20,21,1,22,...,10,20,21,1,22,...] --> Invalid Series), like graphs plot points.I went through article Fisher-Yates which can generate sequential random data which in my case I don't need. What I need is to generate same set of data each time. I came across one function which can generate these random numbers but will repeat some part of series every time. Below is the function:

0^2 mod 11 = 0,
1^2 mod 11 = 1,
2^2 mod 11 = 4,
3^2 mod 11 = 9,
4^2 mod 11 = 5,
5^2 mod 11 = 3,
6^2 mod 11 = 5,... and so on.

Which is pretty much generating same series again and again after some point of time, I would have to work on very large set of numbers.

So how should I generate Random numbers within some range, which can produce same series every time.(without repeating the set of series pretty much every time). Is it possible?