June 16th, 2013, 11:19 PM  #1 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  True or not
Hello! If where are two prime numbers consecutive then there is the inequality . Thank You! 
June 17th, 2013, 10:34 PM  #2 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  Re: True or not
Hello! If the inequality is true then the inequality of problem is true. Thank You! 
June 18th, 2013, 05:49 AM  #3  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: True or not Quote:
 
June 18th, 2013, 06:10 AM  #4  
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  Re: True or not Quote:
I don't understand the idea.Please give details. Thank You!  
June 18th, 2013, 06:13 AM  #5  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: True or not Quote:
 
June 18th, 2013, 06:17 AM  #6 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: True or not
It can be proven with the famous theorem of Hoheisel that there are only finitely many counterexamples.

June 18th, 2013, 06:18 AM  #7  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: True or not Quote:
 
June 18th, 2013, 06:25 AM  #8  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: True or not Quote:
Quote:
 
June 18th, 2013, 07:16 AM  #9 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  Re: True or not
I do not understand!From I do not see how it would result . Thank You! 
June 18th, 2013, 07:20 AM  #10  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: True or not Quote:
 

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