[seqfan] Re: A236108

[M. F. Hasler]

SeqFans, Sorry,
please ignore my previous message, I missed out a "prime" detail, and it's
("obviously") not as obvious...
- Maximilian


On Wed, Jan 25, 2023 at 3:49 PM M. F. Hasler <oeis at hasler.fr> wrote:

>
>
> On Wed, Jan 25, 2023, 12:48 Michel Marcus <> wrote:
>
>> Known terms of A236108 are squares of A049575 or products of 2 distinct
>> terms of A049575.
>>
>> Are there other forms or can it be proved that all terms are like this?
>>
>
> Any divisor 1 < d < n (and n nonprime => there is at least one) must be a
> partition number p, but n/d is then also such a divisor and must therefore
> also be a partition number q, whence n = d • n/d = p • q is the product of
> two partition numbers.
>
> - Maximilian
>