A124184: prime factorization of 1?

Jon Awbrey jawbrey at att.net
Thu Dec 7 20:38:23 CET 2006


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Positive integer n not divisible by any of its primes-factorization exponents.
<=>
If n has primes-factorization exponents, then n is not divisible by any of them.

.: 1 is included vacuously, since the protasis is false.

ja?

Dean Hickerson wrote:
> 
> zak seidov wrote:
> 
> > In A124184, shouldn't we omit 1 (I omit it, while Leroy includes)?
> 
> No, Leroy is correct.
> 
> A124184 is defined as:
> 
> Positive integers not divisible by any of their own prime-factorization exponents.
> 
> Is 1 divisible by any of its prime-factorization exponents?
> No, since it doesn't have any.  So it does belong in the sequence.
> 
> Dean Hickerson
> dean at math.ucdavis.edu

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