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I can't remember the name of this conjecture, help me out

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I can't remember the name of this conjecture, help me out please.

For every whole positive number Z, there exists a prime X and whole positive Y such that X+(Y^2) =(Z^3)

like 7+1=8, 61+64=125 etc

Pic unrelated
>>
Also can be stated as "for every cube there is a square and a prime that sum to it."
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>>8754882

Fermat's Last Theorem?
>>
>>8754882

Dunno what it's called. But I noticed it doesn't hold up in some cases where Z is a perfect square (e.g. 1, 4, 25, 49, 64, 81, 121, 144, 169, 196, 225). It has at least one solution for other perfect squares (16, 36, 100). Very curious.
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>>8755000
1^3=1^2 + 0
4^3=8^2 + 0
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>>8754947
thats not fermat's last theorem dood
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>>8755094
>0 is prime
Kys
>>
>>8755530
Well 0 isn't prime, but if you allow 0 and 1 to be used in the place of a prime, it gives all cubes of perfect squares whole number solutions.
>>
>>8754882
>every whole positive number Z
that can't be right, what about Z = 1?
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