Im pretty sure less than 1% of swedes are christian though. Would have been an even better joke if you made the yellow stand for islam.

the pattern is:
1, 3, 7, 15, 31, 63

or just (2^n)-1, n = 0, 1, 2, 3...

the next one would be 127.

63*2 is 126, yes, but they all dont double each time.

Actually, it would be 127

The size of the set of all primes is the same as the size of the set of natural numbers. The set of real numbers, though, is infinitely bigger than the other two.

I can prove it to you here and now.

let Pn be the n:th prime, P1=2, P2=3, P10=29 and so on. Assume that there is a largest prime, Pk. Now, multiply all primes up to Pk together and call the product x, x=P1*P2*P3*...*Pk. x is now a number larger than all primes, and divisible by every prime. Add 1 to x, x+1. Now consider the value of (x+1)/Pn = x/Pn + 1/Pn. x/Pn is a whole number since x is divisible by every prime. 1/Pn is NOT a whole number since 1 is not divisible by any prime. Therefore, x+1 is not divisible by any prime, which proves that x+1 is a prime bigger than the largest prime. This is a contradiction that proves that there are infinitely many primes.

Correct. But noone ever said that the 1 dollar bills and the 20 dollar bills approaches infinity at the same rate. Heck, noone ever said they approached infinity at all, just that they "were" infinite, and thus even taking the limit as x approaches infinity doesnt really mean anything.

Except that the amount of even numbers and the amount of natural numbers are the same. If there is a bijective function f that maps the set A to the set B, then A and B are of the same size. The set of all even numbers can be mapped to the set of natural numbers by the bijective function x->x/2 which proves they have the same size.

If you include negative numbers in the set of even numbers, then let the function be x->{x (for x>0); -x+1 (for x<= 0)} instead.

!gamble all

What do you mean? All pokemon have the same chance of being shiny: 1/8192.

BibleThump