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Playlist: Conjectures

Math Curiosity: Goldbach’s Conjecture

Can any even number be written as the sum of two primes? Goldbach thought so, but we haven’t proven it… yet!

Math Curiosity: Waring’s Conjecture

So, can you write every odd (greater than 3) as the sum of three primes?

Math Curiosity: Legendre’s Conjecture

It seems like there’s always a prime number between two perfect squares… but is this always the case!?

Math Curiosity: Palindromic Number Conjecture

Using this one weird trick, it seems that you can turn any number into a palindrome!

Math Curiosity: Collatz Conjecture

The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…