[seqfan] Re: Orlowski conjecture on primes as sums of squares

Charles Greathouse charles.greathouse at case.edu
Fri Jan 25 23:56:46 CET 2013


I would start with the Bateman-Hildebrand-Purdy paper cited in A004434 and
see if the technique generalizes. I imagine this is known.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Fri, Jan 25, 2013 at 1:28 PM, Alonso Del Arte
<alonso.delarte at gmail.com>wrote:

> Back in 2011, Vladimir Orlovsky wrote about primes congruent to 7 mod 12
> that
>
> It appears that all terms starting from term 103 are primes which are the
> sum of 5 positive (n > 0) different squares in more then one way
> (A193143<https://oeis.org/A193143>
> )
>
> Has any progress been made in the study of numbers with more than one
> five-square representation?
>
> (I wasn't expecting to find a connection to this problem when I searched
> for primes congruent to 7 or 19 mod 24, but it is a pleasant coincidence,
> because only very recently have I begun to look at representing integers as
> sums of five positive squares.)
>
> Al
>
> --
> Alonso del Arte
> Author at SmashWords.com<
> https://www.smashwords.com/profile/view/AlonsoDelarte>
> Musician at ReverbNation.com <http://www.reverbnation.com/alonsodelarte>
>
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