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OEIS A280831 #1488

@rwst

Description

@rwst

What is the conjecture

Any nonnegative integer can be written as

$$ x^2 + y^2 + z^2 + w^2, \text{with $x,y,z,w$ nonnegative integers such that $x^4 + 1680y^3z$ is a square.} $$

See https://oeis.org/A280831. Zhi-Wei Sun has set a prize of RMB 1,680 (see his homepage).

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Status: open

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