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    efi107's Avatar
    efi107 Posts: 1, Reputation: 1
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    #1

    Apr 28, 2009, 11:01 PM
    What is the next number
    What is the next number in this series?

    1 , 2 , 6 , 42 , 1806...
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Apr 29, 2009, 12:53 AM

    2 possible answers are 3263442 and 3270666
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Apr 29, 2009, 10:00 AM

    I found that the next numbers have been multiplied by prime numbers... first;y by 2, then 3, then 7, then 43

    And the answer of Cap, by 1807 and the other possibility, 1811 (which by the way is the next prime number)

    3 is the 2rd prime number;
    7 is the 3rd prime number including the 3rd prime;
    But 43 isn't the 7th prime number after 7 inclusive... but the 11th..

    That is quite confusing. Am I on the right track?
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #4

    Apr 29, 2009, 10:11 AM

    I found Capuchin's first value using this logic.



    The second value is









    I'm not sure of Capuchin's other possibility.
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #5

    Apr 30, 2009, 03:15 AM

    Jerry, you're close to my logic, which was a(n) = a(n-1)*(next prime higher than a(n-1))

    And Perito hit the logic behind my first answer,
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #6

    Apr 30, 2009, 07:08 AM

    Aha! Thanks Cap :)

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