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  1. #1
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    Math question

    The following was confusing me so I'd be grateful if anyone could help out:

    In E-World, the only numbers that exist are even integers. An e-prime is an even number that is not divisible by any even numbers. For instance, 6 is an e-prime because it can't be divided by 4 and it can't be divided by 2 in the E-World because 6/2 is 3, which does not exist in this world (and also in E-World, a number is not divisible by itself).

    The number 12 only has one factorization as a product of E-primes: 12 = 2*6. (We consider 2*6 and 6*2 to be the same factorization.). Describe all even numbers that only have one factorization as a product of E-primes.
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  2. #2
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    Quote Originally Posted by meebo0129 View Post
    The following was confusing me so I'd be grateful if anyone could help out:

    In E-World, the only numbers that exist are even integers. An e-prime is an even number that is not divisible by any even numbers. For instance, 6 is an e-prime because it can't be divided by 4 and it can't be divided by 2 in the E-World because 6/2 is 3, which does not exist in this world (and also in E-World, a number is not divisible by itself).

    The number 12 only has one factorization as a product of E-primes: 12 = 2*6. (We consider 2*6 and 6*2 to be the same factorization.). Describe all even numbers that only have one factorization as a product of E-primes.
    How about 4 times a prime?

    Such a number has a unique E-factorisation 2 times twice the prime.

    Any such number must be a multiple of 4, and if what is multipled by 4
    has non-trivial factors a and b, then (2)(2ab) and (2a)(2b) are distinct
    factorisations

    RonL

    RonL
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