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Math Help - A proposition about prime numbers

  1. #1
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    A proposition about prime numbers

    Hello, I have questions.
    Is the following proposition known?

    "There exists a prime number between n2 and n(n+1) for any integer n>=2."

    Do you know whether this is true or false?


    Thank you.
    Last edited by TakumiSato; November 2nd 2012 at 07:33 AM.
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  2. #2
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    Re: A proposition about prime numbers

    Can you prove that by induction? (base case n=2)
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  3. #3
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    Re: A proposition about prime numbers

    "chebyshev proved it and i'll say it again, theres always a prime between n and 2n"
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  4. #4
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    Re: A proposition about prime numbers

    I don't have a mathematically rigorous proof.
    I have checked n up to 15000.
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  5. #5
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    Re: A proposition about prime numbers

    I found this proposition fell under the following conjecture.
    Oppermann's conjecture - Wikipedia, the free encyclopedia

    Thanks.
    Last edited by TakumiSato; November 3rd 2012 at 10:45 PM.
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