1. ## 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.

2. Originally Posted by meebo0129
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