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Diophantine equation 目次[002]

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$${Published}$$  $${Online}$$  $${First}$$  $${(26/1/2024)}$$
$${Latest}$$  $${additions}$$  $${(5/2/2024)}$$
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$${Diophantine}$$ $${equation}$$ $${11}$$
$${(11.1)}$$  $${x^2+y^2=z^3}$$
$${(11.2)}$$  $${x^k+y^k=z^{k+1}}$$  $${(k≧3)}$$
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$${Diophantine}$$ $${equation}$$ $${12}$$
$${(12.1)}$$  $${w^2+x^2+y^2+z^2=k^2}$$
$${(12.2)}$$  $${w^3+x^3+y^3+z^3=k^3}$$
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$${Diophantine}$$ $${equation}$$ $${13}$$
$${(13.1)}$$  $${x^3+y^3+z^3=2w^3}$$
$${(13.2)}$$  $${x^3+y^3+z^3=w^3}$$
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$${Diophantine}$$ $${equation}$$ $${14}$$
$${(14.1)}$$  $${x^2+y^2+z^2=2w^2}$$
$${(14.2)}$$  $${x^4+y^4+z^4=2w^2}$$
$${(14.3)}$$  $${x^4+y^4+z^4=2w^4}$$
$${(14.4)}$$  $${x^4+y^4+z^4=w^2}$$
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$${Diophantine}$$ $${equation}$$ $${15}$$
$${(15.1)}$$  $${x^3+y^3+z^2=w^4}$$
$${(15.2)}$$  $${x^3+y^3+z^4=w^4}$$
$${(15.3)}$$  $${x^{12}+y^6+z^4=w^8}$$(おまけ)
$${(15.4)}$$  $${x^{15}+y^{15}+z^4=w^4}$$
$${(15.5)}$$  $${x^{60}+y^{30}+z^4=w^4}$$(おまけ)
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$${Diophantine}$$ $${equation}$$ $${16}$$
$${(16.1)}$$  $${x^3+y^3=z^3+w^3}$$
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$${Diophantine}$$ $${equation}$$ $${17}$$
$${(17.1)}$$  $${x^3+y^3+z^3= x^2+y^2+z^2}$$
$${(17.2)}$$   $${x^2+y^2+z^2=t^2+ u^2+v^2+w^2}$$
$${(17.3)}$$   $${x^3+y^3+z^3= u^3+v^3+w^3}$$
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$${Diophantine}$$ $${equation}$$ $${18}$$
$${(18.1)}$$  $${x^2+y^2+z^2=u^2+v^2+w^2}$$
$${(18.2)}$$  $${x^4+y^4+z^4=u^4+v^4+w^4}$$
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$${Diophantine}$$ $${equation}$$ $${19}$$
$${(19.1)}$$  $${x^3+y^3+z^3+w^3=n}$$
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$${Diophantine}$$ $${equation}$$ $${20}$$
$${(20.1)}$$  $${x^4+y^4=z^4+w^4}$$
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$${etc}$$目次【001】【003】
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