Quote by ramsey2879
I dare say that what the OP purports to prove is false because all rational numbers are either finite decimal numbers or infinite repeating decimals. That is only some infinite decimal representations, e.g. 12.66123123123..., where the ending part, i.e. 123, repeats forever are rational numbers while those infinite decimal numbers which do not have an repeating ending are irrational numbers.

When I said that his OP was "correct" I only meant that he was correct in asserting that irrational numbers are the limits of sequences of rational numbers. But, as I said, that is not new to anyone who was taken a course in Real Analysis.
I am just interested in what he has allegedly proven about prime numbers.