# [seqfan] Re: A property of 163

Robert G. Wilson, v rgwv at rgwv.com
Fri Jul 10 20:03:12 CEST 2009

ALCON,

see http://www.research.att.com/~njas/sequences/A003173

Bob.

----- Original Message -----
From: "Tanya Khovanova" <mathoflove-seqfan at yahoo.com>
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Sent: Friday, July 10, 2009 9:50 AM
Subject: [seqfan] A property of 163

>
> 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."
>
> Should we add the sequence?
>
> Tanya
>
>
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>
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