It's hard to think that prime number is infinite. If the range's number goes bigger and bigger, the number of prime number in that gauge decreases and decreases. Then why is it infinite???
Think that prime number is not infinite. Then, there should be the biggest prime number. Let's think that the biggest prime number is P. Let's make another number called PA.
PA=2*3*5*....*P(all of the prime numbers)+1
Is PA a prime number? The answer is yes. If you divide PA in all of the prime numbers, there's always a remainder. (which is 1) So, PA becomes the new biggest prime number~ Then, our thought that prime number is not infinite, is wrong. So, prime number is infinite! Did you get it?
Monday, July 22, 2013
Prime Number Story #2
2, the Queen of RPNK, thought and thought. At that time, 3 made a nice proposition. He said that
"Let's just fight! The Queen of RPNK."
Queen was frightened, because the army of NNK were so huge! She asked to 3.
"Why do you think like that? Look at the army of NNK! They are so huge!"
3 replied: "No, ma'am. We can win them. Their army's number of people are same as us, so we can win them! At least, we can make a draw!"
Queen couldn't understand 3. She asked again.
"Look up to 100. We only have 25 soldiers, but they have 75 soldiers!"
"No, ma'am think of 1."
"Okay. But, it's still 25 to 74. And look at 101 to 200! It's 21 to 79! How about from 7801 to 7900! It's 10 to 90! We can't win them!"
"No, no, no, ma'am. The number of soldiers of NNK is infinite. I know. But, the number of soldiers of ours is infinite, too!"
Queen couldn't understand more.
"But... how?"
"Let's just fight! The Queen of RPNK."
Queen was frightened, because the army of NNK were so huge! She asked to 3.
"Why do you think like that? Look at the army of NNK! They are so huge!"
3 replied: "No, ma'am. We can win them. Their army's number of people are same as us, so we can win them! At least, we can make a draw!"
Queen couldn't understand 3. She asked again.
"Look up to 100. We only have 25 soldiers, but they have 75 soldiers!"
"No, ma'am think of 1."
"Okay. But, it's still 25 to 74. And look at 101 to 200! It's 21 to 79! How about from 7801 to 7900! It's 10 to 90! We can't win them!"
"No, no, no, ma'am. The number of soldiers of NNK is infinite. I know. But, the number of soldiers of ours is infinite, too!"
Queen couldn't understand more.
"But... how?"
About "Prime Number"
"Prime Number..." Did you heard of that? A lot of people will know this.
"Prime Number" is a positive integer greater than 1 which is divisible only by 1 and themselves.
So, 1 is NOT a prime number because it is not greater than 1, 2 IS a prime number because it is greater than 1 AND it is divisible only by 1 and 2, itself.
Now you will know what is prime number. Then, let's find few prime numbers.
1: X 2: O 3: it can only be divided by 1 and 3, so it is a prime number.
4: it can be divided by 1, 2, 4, so it is NOT a prime number.
5: it can only be divided by 1 and 5 itself, so it is a prime number.
So, you already found first 3 prime numbers! Congratulations!
If I list prime number, it goes like this: 2, 3, 5, 7, 11, 13, 17, 19... and so on.
Now, you will know perfectly about prime number. Have a good day~
"Prime Number" is a positive integer greater than 1 which is divisible only by 1 and themselves.
So, 1 is NOT a prime number because it is not greater than 1, 2 IS a prime number because it is greater than 1 AND it is divisible only by 1 and 2, itself.
Now you will know what is prime number. Then, let's find few prime numbers.
1: X 2: O 3: it can only be divided by 1 and 3, so it is a prime number.
4: it can be divided by 1, 2, 4, so it is NOT a prime number.
5: it can only be divided by 1 and 5 itself, so it is a prime number.
So, you already found first 3 prime numbers! Congratulations!
If I list prime number, it goes like this: 2, 3, 5, 7, 11, 13, 17, 19... and so on.
Now, you will know perfectly about prime number. Have a good day~
Prime Number Story #1
Long long time ago, there was a kingdom where natural number lived. So, the kingdom was called 'natural number kingdom(NNK).' All of the kingdom's high ranking government officials were composite numbers, which are numbers that can be divided by more than 2 natural number. (4, 6, 8, 9, 10, etc.) So, prime numbers, which are numbers that can be divided by just 1 and the number itself, (2, 3, 5, 7, 11) and 1, were so angry. One day, composite numbers felt fear of coup d'état, so they expelled the prime numbers and 1 by saying 'They will revolt.' So, prime numbers and 1 had to leave the Natural Number Kingdom. Prime numbers made a group called 'Revolution of Prime Numbers (RPN).' RPN didn't accepted 1 as a prime number. Members of RPN walked and walked, day by day. When they were tired of walking, they made a kingdom called 'RPN kingdom(RPNK)!' However, NNK didn't liked RPN making a kingdom, so they attacked RPNK. At that time, RPNK made 2 a queen, because she was the only one who is even. And, they made 3, 5, 7, as top ranked government officials. They just knew NNK was attacking their kingdom when the NNK army was just in front of their castle. They thought how to win natural numbers...
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