Students will tackle Waring's curious conjecture from 1762: all odds are either primes, or can be written as the sum of three primes. After 250 years, we still don't know if it's true or not!
Can all perfect squares be written as two primes added together? In this exploration, students will discover interesting relationships between these types of numbers.
Have students tackle the classic "Seven Bridges of Konigsberg" problem - can you cross each bridge exactly once?
It seems like there's always at least one prime number between two perfects squares. But is this always the case?
Prime numbers seem to appear randomly. How do we reliably find primes without dividing every number by every possible factor? The answer is thousands of years old…
Twin Primes are prime numbers that have a difference of two. Mathematicians think there are an infinite number, but aren't sure yet. Have your students look for patterns as they dig into the Twin Prime Conjecture.
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