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Math Help - Prime number problem

  1. #1
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    Question Prime number problem

    Please may somebody help me solve the following problem?
    (or at least give me a guidance to which direction to go at it please )

    Determine the least possible value of the largest term in an arithmetic progression of 7 distinct primes.

    Thank you.
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  2. #2
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    The sequense should be a,a+d,a+2d,a+3d,a+4d,a+5d,a+6d, but as they all need to be primes, what should d be?
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  3. #3
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    I'm not sure sorry
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  4. #4
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    Quote Originally Posted by itsmewhoami View Post
    I'm not sure sorry
    It must be a multiple of 2,3,5 and 7. Meaning d is a multiple of 210 (2*3*5*7)
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  5. #5
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    Sorry ... but how and why will it be a multiple of 210 ?
    Thank you for your patience ~ i appreciate the help and time.
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  6. #6
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    I found this, it's a bit more pretty than what i came up with

    Hope it helps, else ask for elaboration


    Prime Arithmetic Sequence -- find smallest arithmetic progression of 7 distinct primes.
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  7. #7
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    It does help a little, but I'm sorry, I think I'll have to ask for elaboration for why the d value has to be a multiple of 2, 3, 5 (and 7, to begin the problem solving).
    Thank you again.
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