# [seqfan] Re: A property of 163

drew at math.mit.edu drew at math.mit.edu
Fri Jul 10 16:15:17 CEST 2009

The unique property of 163 noted below is correct. The proposed sequence is
missing 3 and is effectively already in the OEIS, see A014602.

Regards,

Drew

On Jul 10 2009, Tanya Khovanova wrote:

>
>Dear SeqFans,
>
> I received the following submission for my number gossip page
> (numbergossip.com) from Anand Deopurkar:
>
> "A unique property of 163: It is the largest number n such that the
> integers in the imaginary quadratic extension Q(\sqrt -n) have the unique
> factorization property."
>
>Can some confirm this?
>
>He also sent a sequence which is not in the database:
>
> "Integers in the following imaginary quadratic fields Q(\sqrt -n) have
> the unique factorization property: n = 1,2,4,7,11,19,43,67,163. So you
> could add this as a rare property for those integers as well."
>
>
>Tanya
>
>
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