Flashcards: Great Ideas in Mathematics

Every number greater than 2 can be written as the sum of two primes

Let "m" be an arbitrary natural number

Proof by contradiction

Take the length of the period and raise 10 to that power. Subtract the new number "N" by the original number, creating a fraction.

Set of numbers used for counting

Objects > containers, one container will have at least two objects

The next number in the sequence is the sum of the previous two. Every natural number is the sum of two Fibonacci numbers

Created with Fibonacci numbers, a fraction with ones continuing into infinity

Its only factors are one and itself

Has multiple factors

Factor tree to simplify a number to only prime numbers

Very rare

A statement that can be proven true

A statement that is thought to be true but cannot be proven

The gap between primes increases in distance as you go towards infinity

As "n" gets larger, the number of primes less than or equal to "n" approaching n/ln x n

There are infinitely many primes separated by only 2 numbers

Two collections whose objects can be paired evenly (finite or infinite)

Assume set is finite

Number of objects in a set

Decimal expansion either ends or has a pattern

Decimal expansion is infinite with no pattern

For ever even natural number, pair it with a positive integer

Use the square spiral to prove one-to-one correspondence

Build missing number "M"