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Thread: Finding the smallest positive integer w/ primes

  1. #1
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    Thumbs down Finding the smallest positive integer w/ primes

    Question: Find the smallest positive integer j such that the number 1 + p1p2p3....pj is not a prime number. Also state this smallest such number, and its' factorization. [In this problem, pm = the mth prime, m = 1, 2, 3.....].

    In words: "Find the smallest positive integer j such that the number one plus (p sub-one times p sub-two times p sub-three) etc until some value p sub j) is NOT a prime number.

    Also state this smallest such number and its' factorization. [In this problem, p sub m is equal to the m^th term, where m = 1, 2, 3, .... ]
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  2. #2
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    Re: Finding the smallest positive integer w/ primes

    I get j=6: 1 + 2 x 3 x 5 x 7 x 11 x 13 = 30031. I'll let you do the factoring!
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