My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news


Thanks Tree1Thanks
Reply
 
LinkBack Thread Tools Display Modes
February 28th, 2016, 05:45 PM   #21
Senior Member
 
Joined: Dec 2015
From: France

Posts: 103
Thanks: 1

Quote:
Originally Posted by Prakhar View Post
Number of digits.
7 and 11 are primes. They have 1 and 2 digits.
Pengkuan is offline  
 
February 28th, 2016, 05:52 PM   #22
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,683
Thanks: 2664

Math Focus: Mainly analysis and algebra
Quote:
Originally Posted by Pengkuan View Post
Infinitely many primes does imply infinitely large primes to exist.
You claim that the infinitude of a set of numbers implies the infinitude of at least one element in the set. Please prove that claim.

I present the set of rational numbers between zero and one. Show me the infinite member of that set, or prove that the set is not infinite.

In order to make progress, you should consider what your definition of infinite (or finite) is. The one I use in cases like this is that a number $n$ is finite if there exists a natural number $N$ greater than $n$. An infinite number is one that is not finite.
v8archie is offline  
February 28th, 2016, 05:52 PM   #23
Senior Member
 
Joined: Jul 2014
From: भारत

Posts: 1,178
Thanks: 230

Quote:
Originally Posted by Pengkuan View Post
7 and 11 are primes. They have 1 and 2 digits.
I told you to give an example of an infinitely big prime number (if you think it exists).
Prakhar is offline  
February 28th, 2016, 05:54 PM   #24
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,683
Thanks: 2664

Math Focus: Mainly analysis and algebra
Quote:
Originally Posted by Pengkuan View Post
Prime is a natural number. As natural number can be infinite, so is prime.
There are no infinite natural numbers.
v8archie is offline  
February 28th, 2016, 06:12 PM   #25
Senior Member
 
Joined: Dec 2015
From: France

Posts: 103
Thanks: 1

Quote:
Originally Posted by v8archie View Post
There are no infinite natural numbers.
So, there is not infinite prime. Only prime that increase indefinitely.
Pengkuan is offline  
February 28th, 2016, 06:12 PM   #26
Senior Member
 
Joined: Jul 2014
From: भारत

Posts: 1,178
Thanks: 230

Quote:
Originally Posted by skipjack View Post
The reason "because there are infinitely many primes" is inadequate.
What?
Prakhar is offline  
February 28th, 2016, 06:13 PM   #27
Senior Member
 
Joined: Feb 2016
From: Australia

Posts: 1,838
Thanks: 653

Math Focus: Yet to find out.
Quote:
Originally Posted by Pengkuan View Post
Prime is a natural number. As natural number can be infinite, so is prime.
Just because the set of natural numbers is infinite, and primes exist within this set, does not mean that there exists some prime of size 'infinity'.
Im sure this is a logical fallacy of some kind.
Joppy is offline  
February 28th, 2016, 06:16 PM   #28
Senior Member
 
Joined: Jul 2014
From: भारत

Posts: 1,178
Thanks: 230

Quote:
Originally Posted by Pengkuan View Post
So, there is not infinite prime. Only prime that increase indefinitely.
Natural numbers and prime numbers are infinitely many. This does not mean that a particular prime or natural number is infinitely big.
Prakhar is offline  
February 28th, 2016, 06:23 PM   #29
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,683
Thanks: 2664

Math Focus: Mainly analysis and algebra
Quote:
Originally Posted by Pengkuan View Post
So, there is not infinite prime. Only prime that increase indefinitely.
Numbers don't increase. An infinite sequence of primes increases indefinitely, but that doesn't mean that any of them are infinitely large. They are all natural numbers after all.
v8archie is offline  
February 28th, 2016, 06:25 PM   #30
Senior Member
 
Joined: Dec 2015
From: France

Posts: 103
Thanks: 1

Quote:
Originally Posted by Prakhar View Post
Natural numbers and prime numbers are infinitely many. This does not mean that a particular prime or natural number is infinitely big.
Correct.
Pengkuan is offline  
Reply

  My Math Forum > Math Forums > Math

Tags
irrational, numbers, prime



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
prime numbers and composite numbers shaimaa saif Algebra 10 November 17th, 2015 08:02 AM
irrational numbers Albert.Teng Algebra 4 February 12th, 2014 04:55 PM
The paradox between prime numbers and natural numbers. Eureka Number Theory 4 November 3rd, 2012 03:51 AM
Irrational numbers niki500 Number Theory 5 October 7th, 2012 09:10 PM
Irrational Numbers Mighty Mouse Jr Algebra 1 October 16th, 2010 07:46 PM





Copyright © 2019 My Math Forum. All rights reserved.