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Which Was What We Wanted. The abbreviation WWWWW may be placed at the end of a mathematical proof to serve a similar purpose as QED.
We will prove by reductio ad absurdum that there are infinitely many primes.
Assume the opposite, that there are exactly n primes. Let set S contain all n primes in increasing order, such that S={X1, X2, X3... Xn}.
Consider Y such that Y=1+(X1*X2*X3*...*Xn)
Y gives a remainder of 1 when divided by any element of S. Hence Y is not divisible by any prime and must be a prime itself. Yet this contradicts the assumption that there are only n primes, as the existence of Y means there must be at least n+1 primes.
The assumption must then be false and there must be infinitely many primes.
WWWWW.
Assume the opposite, that there are exactly n primes. Let set S contain all n primes in increasing order, such that S={X1, X2, X3... Xn}.
Consider Y such that Y=1+(X1*X2*X3*...*Xn)
Y gives a remainder of 1 when divided by any element of S. Hence Y is not divisible by any prime and must be a prime itself. Yet this contradicts the assumption that there are only n primes, as the existence of Y means there must be at least n+1 primes.
The assumption must then be false and there must be infinitely many primes.
WWWWW.
by J.Sun March 22, 2009
Get the WWWWW mug.A person that still exists in this world somehow and thinks it’s okay to still shit in your pants in your Lyft or Uber.
This total wowwww stumbled out of a taxicab and Kevin decided to pull up his cellphone and use the FBI hotline thankfully.
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