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Results tagged with sums-of-squares
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user 113397
2
votes
Is 100 the only Leyland number that is a square?
Here are two unconditional results:
if $x$ is a power of $2$ then $(x,y)=(2,6)$
$\gcd(x,y)=1$ or $2$.
I thought of this problem in 2019 and posted it on MSE (link), as at that time I did not real …
- 1,459
2
votes
1
answer
238
views
Bounds on largest possible square in sum of two squares
Suppose we are given integers $k,c$ such that $k=1+c^2$.
Let $n$ be an odd integer and suppose that $k^n=a_i^2+b_i^2$ for distinct positive integers $a_i<b_i$ and $i\le d$. That is, there are $d$ diff …
- 1,459