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You are correct, I only proved that a proof commonly used is incorrect. The title was misleading.

http://en.wikipedia.org/wiki/Reductio_ad_absurdum

The function y=1-1/x is often used to show how the repeating decimal 0.9999... is equal to 1. When x=1, y=1; x=10, y=0.9; x=10000, y=.9999, and so on. The limit of 1-1/x as x approaches infinity equals 1. An assumption is often made, however, that if the limit of an expression as x approaches...

Yeah, I neglected the "at least for small numbers" in my second post.

I know. It's more likely than random, but that's about it.

I made this simple program to list all non-primes (ignore the first row and column of the output) and list what I call "important numbers". I have attached an output if you don't want to bother running and compiling the program. #include <iostream> #include <fstream> using namespace std...