[seqfan] Re: Another characterization of A244031?
M. F. Hasler
seqfan at hasler.fr
Mon May 7 18:32:17 CEST 2018
On Sat, May 5, 2018 at 8:47 AM, David Wilson wrote:
> n such that 1 <= k^2 <= n => n + k^2 is composite.
>
It's easy to see that this is completely equivalent, because y has to be
equal to 1 in order to have
x^2 + n y^2 strictly between n and 2n (and x^2 is never prime), so for the
considered purpose,
x^2 + n y^2 is equivalent to n + x^2.
The current definition is indeed a bit "obfuscated" (i.e. useless
complicated),
and I'd be in favour of the proposed rephrasing.
- Maximilian
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