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?
No comments:
Post a Comment