Create a proof disproving the existence of a largest prime number.

numbers are infinite, thus, there can be no "highest" prime number

There is no highest prime number. Given any set of prime numbers, you can prove that there is at least one prime number that is not in that set. Here's how.
First, recall that every natural number is either a prime number, or is a composite number and thus the product of some series of prime numbers.

Now, suppose you have a set of n prime numbers, P1 .. Pn. Multiply them all together and add one. Call this number Q.

Q is either prime or composite.

If Q is prime, then it is obviously not one of P1 .. Pn, and thus is a new prime number not in that set.

If Q is composite, then there must be a list of primes that evenly divide into it. Because Q is one greater than the product of P1 .. Pn, dividing by any of those primes will have a remainder of 1. So there must be some new prime, call it R, that divides evenly into Q.

In either case, Q or R is a new prime.

Now suppose that you have some potential highest prime. Enumerate all of the primes lower than it, and follow the above procedure with that set of primes. You will end up with a new prime not in that list. Since you have listed all primes less than your purported highest prime, any new prime number must be greater than your highest prime.

Thus, there is no highest prime.

as the lady killer you are, i was hoping you cud help me with a problem i have. there's a girl i like and i think she really likes me. there are a fw problems though
1 we're both really shy and inexperienced
2 i cna't be completly sure she likes me
3 i wuldnt know what to do even if she does turn out to like me.

wut do i do?

First I advise that you learn how to spell. Typographical errors really turn people off. Second of all, tell her how you feel, if she does like you, then hey you've taken one step closer to a wonderful relationship, and if she doesn't, then hey, now you know.

1. the only why to stop inexperience is through experience.
2. Nobody is 100% percent sure, so deal with it
3. If she like you then go on a date and have fun, if not then find another

Just say to yourself "3...2...1....F*** IT!" and ask her to go on a date with you.

"Do or do not, there is no try"

thank you, you make a wonderful yoda.

WEll do you have any advise on how to like ask her out then? (practising my typing)

Well, I would just approach and say "hey btw I like you, I have for some time, I would be interested in taking this friendship into a relationship that exceeds what we currently posess" if you are straight forward, she might appreciate your honesty.

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