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Subsets in mathematics are groups of unique numbers or objects that do not repeat themselves. An example of this would be a non-terminating decimal, such as pi (3.1419..) because none of the numbers in the equivalent ever end.
0.1818181818181818181818........ ect. round as you please, or draw a bar on top of the first "18" which indicates those numbers repeat for ever.
No. Pi is a transcendental number which is a kind of irrational number. It has an infinite decimal representation which does not end nor does it go into a recurring cycle. That does not mean that there are no repeated digits, it simply means that digits may repeat themselves for a little while but then continue in what appears to be a random pattern. Not only does it not have an infinite decimal representation, but infinite binary, ternary, etc representations.
There are no two "last" composite numbers. Just as with prime numbers, and all numbers, they go on for ever and ever and ever and ever ... ... .
No one has ever discovered the mathematical pattern for prime numbers and all that is known about them is that each prime number has only 2 factors which are itself and one.