From charlesreid1

Final challenge puzzle.

The Puzzle Elite

The Story

some kind of secret society rumored to be composed of puzzle and code masters.

The Puzzle

Here's POOKIE's clue.

What we have here is a five of five fives - five equations in which five appears five times. If you keep saying five it starts to sound funny. five five five five five. I'm starting to feel dizzy! Find some way to turn these into one number before I get sick! If you think you've got your number, the answer to the final puzzle is the number of prime numbers that come before it. Just the digits, please.

ONCE YOU FIND THE ANSWER YOU WILL BE ELITE


\dfrac{5^5}{5} - 5 \times 5


5 \times ( \sqrt{5}^5 \sqrt{5} - 5 )


\left( \dfrac{5+5}{5} \right)^5 \times 5


(5+5) \left(
\dfrac{ \ln{(5 \cdot 5)} }{ \ln{\sqrt{5}} } 
\right)


5 \times \left( 5 \times 5 \times 5 - 5 \right)

The Solution


\dfrac{5^5}{5} - 5 \times 5 = 600


5 \times ( \sqrt{5}^5 \sqrt{5} - 5 ) = 600


\left( \dfrac{5+5}{5} \right)^5 \times 5 = 1600


(5+5) \left(
\dfrac{ \ln{(5 \cdot 5)} }{ \ln{\sqrt{5}} }
\right) = 40


5 \times \left( 5 \times 5 \times 5 - 5 \right) = 600

Sum is 2000

Number of primes coming before is 33

you are l33t (1337)

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