Prime Numbers and the Fibonacci Series

What are Prime Numbers?

Prime numbers are numbers that cannot be divided by any number but one and itself equally without a remainder. They only have two factors - one and themselves. The prime numbers from 1-100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. One and zero are not prime numbers as they have only one factor

6 - 2+2+2, 7 - 3+2+2, 8 - 3+3+2, 9 - 3+3+3, 10 - 5+2+3, 11 - 5+3+3, 12 - 5+5+2, 13 - 5+5+3, 14 - 7+5+2, 15 - 5+5+5, 16 - 7+7+217 - 7+7+3, 18 - 11+5+2, 19 - 11+5+3, 20 - 11+7+2, 21 - 7+7+7, 22 - 13+7+2, 23 - 13+7+3, 24 - 11+11+2, 25 - 11+11+3, 26 - 13+11+2, 27 - 13+11+3, 28 - 13+13+2, 29 - 13+13+3, 30 - 17+11+2. This is showing that all numbers after six can be made by adding three prime numbers. I believe that this rule can be applied to all other numbers, as there are lots of prime numbers after 100, although they do get rarer as you go on. However, I have noticed that all the even numbers have at least one 2 in the sum. This makes it just a bit harder to get those numbers, as an odd number plus an odd number equals an even number and that even number cannot be the number you are trying to get because you still need to add another number. And the only even prime number is two.

Why are Prime Numbers Important?

Prime numbers are important for multiple reasons. One is that they can be multiplied together in different combinations to make any other number. Another reason why they are important is that they make up codes for things like credit card numbers, passwords and bank account numbers. If a hacker intercepts a message between a credit card and the bank, all they would see would be a massive jumble of numbers. This number is made by multiplying two different and very large prime numbers. That jumble of numbers is called a cipher. The only way to figure out this jumble of numbers is to know what the two prime numbers are. And although computers work very fast multiplying numbers, working out those prime numbers is extremely difficult and takes a LOOOONG time, up to a thousand years or more

Who was Fibonacci?


Leonardo Fibonacci was born around 1170 in Pisa and died about 1240-1250, also thought to have happened in Pisa. He introduced the Hindu-Arabic number system we use today to Europe. He also discovered the Fibonacci numbers, which he is famous for.

How the Fibonacci Series was Discovered

The Fibonacci Series was invented when Leonardo Fibonacci was trying to figure out a problem about how many pairs of rabbits there would be at the end of a year if you started with one pair and assuming that they never died and that a new pair of rabbits would be born each month after the first.

Fibonacci Numbers in Nature

One example of Fibonacci numbers in the world is pinecones. On these pinecones there are 8 or 13 rows or columns of scales, one clockwise, one anti clockwise. Both 8 and 13 are Fibonacci numbers. Another example is the petals on flowers. For example, their are hundreds of species of flowers with 5 petals, not quite as much, but still a fair few, with 8 petals and even ordinary field daisies have 34 petals. There are plenty of other examples of the Fibonacci numbers in nature but if I listed all of them we would be here all day