But even numbers are only part of the whole numbers, all the odd numbers are left over, so there's got to be more whole numbers than even numbers, right?

It is a very simple scheme that can be used to detect single or any other odd number (i.e., three, five, etc.

And this massive region of odd composites makes for an unacceptable test.

Super primes Primes with a prime index in the sequence of prime numbers (the 2nd, 3rd, 5th, ... prime).

Welcome to the presentation on adding and subtracting negative numbers.

that is, the real numbers is a bigger infinity than the set of whole numbers.

So on the number line, I just write all the numbers in order, and I go high enough just so I can so that all the numbers I am using are, kind of, in it.

Add up these figures.

(numbers percentage)

The aggregate numbers are overwhelming.

The numbers would get smaller.

It's called the number line.

So let me do a number line.

We went to the right 4 spaces on the number line.

Not because it's crazy, or anything, but because the fractions are ratios of whole numbers, and so are called rationals meaning the rest are non rational, that is, irrational.

Or we're going to go the right on the number line, because the numbers are getting bigger.

So, can we make a one to one match between the whole numbers and the set of all the decimals, both the rationals and the irrationals?

They are a form of numeral used for counting.

It is a central result in analytic number theory.

And the question is, are we going to see that big sweep?

The least n such that is prime are (for odd k s) 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 1, 4, 2, 1, 2, 1, 1, 2, 1, 5, 2, 1, 3, 2, 1, 1, 8, 2, 1, 2, 1, 1, 4, 2, 1, 2, 1, 7, 2, 1, 3, 4, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 7, 4, 5, 3, 4, 2, 1, 2, 1, 3, 2, 1, 1, 10, 3, 3, 2, 1, 1, ...

Number theory Farisi made a number of important contributions to number theory.

It's the mathematics of prime numbers.

Well then you start going to the negative numbers.

We would have to extend the number line.

That's the number line.

We will do it orange. Plus 46. So we draw a number line here.

I will circle the numbers that are prime.

So let me draw a number line.

Let's draw a number line.

Well, we're on the number line.

Of course, the number line keeps going.

Introduce some negative numbers.

Now, one way to visualize complex numbers and this is actually a very helpful way to visualize them when we start to think about roots of numbers especially the complex roots

Standard form in odd characteristic.

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If you think about it on the number line, addition is increasing along the number line by that amount.

However, with the inclusion of the negative natural numbers, and, importantly, , Z (unlike the natural numbers) is also closed under subtraction.

like we did in this presentation.

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