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LSpice
LSpice
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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 (linklink), as at that time I did not realise this MO post existed. In Servaes' answeranswer in the link, the two results are shown. The answeranswer by W-t-P is a detailed version of Gerry Myerson's commentcomment above.

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 realise this MO post existed. In Servaes' answer in the link, the two results are shown. The answer by W-t-P is a detailed version of Gerry Myerson's comment above.

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 realise this MO post existed. In Servaes' answer in the link, the two results are shown. The answer by W-t-P is a detailed version of Gerry Myerson's comment above.

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TheSimpliFire
TheSimpliFire
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Here are two unconditional results:

  • if $x$ is a power of $2$ then $y=6$$(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 realise this MO post existed. In Servaes' answer in the link, the two results are shown. The answer by W-t-P is a detailed version of Gerry Myerson's comment above.

Here are two unconditional results:

  • if $x$ is a power of $2$ then $y=6$

  • $\gcd(x,y)=1$ or $2$.

I thought of this problem in 2019 and posted it on MSE (link), as at that time I did not realise this MO post existed. In Servaes' answer in the link, the two results are shown. The answer by W-t-P is a detailed version of Gerry Myerson's comment above.

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 realise this MO post existed. In Servaes' answer in the link, the two results are shown. The answer by W-t-P is a detailed version of Gerry Myerson's comment above.

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TheSimpliFire
TheSimpliFire
  • 1.5k
  • 14
  • 36

Here are two unconditional results:

  • if $x$ is a power of $2$ then $y=6$

  • $\gcd(x,y)=1$ or $2$.

I thought of this problem in 2019 and posted it on MSE (link), as at that time I did not realise this MO post existed. In Servaes' answer in the link, the two results are shown. The answer by W-t-P is a detailed version of Gerry Myerson's comment above.