We have been exposed about odd numbers, even numbers, composite numbers, prime numbers and a lot lot lot of numbers in mathematics since primary school.
Out of all those numbers mentioned above, I am very excited to share a delicious discovery about Prime Number (The Atoms of Mathematics).
A SIMPLE DEFINITION OF PRIME NUMBER
- a whole number which cannot be divided by any other whole number except 1 and itself
THE FIRST 25 PRIMES
- 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
Have you eat THE FIRST 25 PRIMES? Did you tasted the sourness in it? I did! The sour taste trigger me to argue WHY 1 IS NOT A PRIME NUMBER?
From the definition, it is clearly seen that 1 can be divided by 1 and of course ITSELF! But why it is excluded from the primes? Lets kick the sour out 😋
First of all, we should recall the Fundamental Theorem of Arithmetic.
FUNDAMENTAL THEOREM OF ARITHMETIC
- every positive whole number can be written as a UNIQUE product of primes
Lets take a bite on this simple snacks;
Take 10 (ten) as an example. Assume 1 is a prime number. By using the Fundamental Theorem of Arithmetic, we have:
10 = 2 x 5 or 5 x 2 (we don’t really mind the order)
10 = 1 x 2 x 5
10 = 1 x 1 x 2 x 5
10 = 1 x 1 x 1 x 2 x 5 (and so on)
From here, we can see if 1 is a prime then we wouldn’t have a UNIQUE way of writing 10 as the product of prime numbers. So, that is why 1 is EXCLUDED from the list of prime number.
Yummmyy! We solved the mystery of Prime Number deliciously. 🍦
Till the next lunch date everyone!!!