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Jonask

  • 3 years ago

prove that there exists no prime such that p-q=97,if p and q are prime

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  1. sauravshakya
    • 3 years ago
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    when p and q are both not equal to 2 then, p and q are both odd numbers and difference of two odd number is an even number so one of them has to be even. Now, when p=2 then 2-q=97 ==> q=-95 [not prime] when q=2 then p-2=97 ===>p=99[not prime] Thus, there exists no prime such that p-q=97,if p and q are prime

  2. Jonask
    • 3 years ago
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    great thanks I just have to formalize it

  3. waterineyes
    • 3 years ago
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    What can I say now.. I can just say that @sauravshakya is right...

  4. Jonask
    • 3 years ago
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    lol thanks

  5. waterineyes
    • 3 years ago
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    Ha ha ha ha..

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