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To slove a problem

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  • torgalsri
    Hello sir, i have one problem reguarding to this prime numbers. question : prove : every integer of the form 3n+2 has a prime factor of the same form( ie.,
    Message 1 of 2 , Aug 9, 2005
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      Hello sir,
      i have one problem reguarding to this prime numbers.

      question : prove : every integer of the form 3n+2 has a prime factor of
      the
      same form( ie., 3n+2 ).
    • Chris Caldwell
      ... Looks like homework! All numbers hav one of the three forms 3n, 3n+1 and 3n+2. First think why no factor of a number of the form 3n+2 has the form 3n.
      Message 2 of 2 , Aug 9, 2005
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        > [mailto:primenumbers@yahoogroups.com] On Behalf Of torgalsri
        > i have one problem reguarding to this
        > prime numbers.
        >
        > question : prove : every integer of the form 3n+2 has a
        > prime factor of the
        > same form( ie., 3n+2 ).
        >

        Looks like homework! All numbers hav one of the three
        forms 3n, 3n+1 and 3n+2. First think why no factor of
        a number of the form 3n+2 has the form 3n. Next think
        what you would get if every factor was 3n+1.

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