Re: OEIS A004664 related conjecture: n! + n^2 != m^2 for n>=1, m>= 0

Hi,

It appears that some responders misunderstood my conjecture ...
Let me reiterate my conjecture once more:

The sum

n! + n^2

for n >=1

doesn't yield the perfect square

I also was advised for the additional clarity to present above in the
TEX format as:

$n! + n^2 \ne m^2$

Also any one could check the OEIS's A004664 to see what is involved
there.

Thanks,
Best Regards,
Alexander R. Povolotsky
=========================================================
In addition to previously posted conjecture
(unfortunately I have not seen any responses yet ;-) )
I came up with OEIS A004664 related conjecture:
n! + n^2 != m^2 for n>=1, m>= 0
I checked using PARI that indeed n! +n^2 doesn't yield perfect square
up to n=30,000
Is this conjecture known (could one on this list point me to the
source
where it is posted/published ?)
If it is indeed known, was it proved then ?

Thanks,
Best Regards,
Alexander R. Povolotsky


.

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