2 problems

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The prime-power and two prime squares representation conjecture
Prime-power and two prime squares representation conjecture. Every sufficiently large $n$ subject to some congruence conditions can be represented as
Conjectureopennumber-theory prime-representations war-ing-goldbacharXiv posted 2 days ago
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Brüdern's conjecture on sums of four prime cubes
Brüdern's conjecture. All sufficiently large integers satisfying those necessary congruence conditions are the sum of four prime cubes:
Conjectureopenadditive-number-theory prime-cubes war-ing-goldbacharXiv posted 2 days ago

The prime-power and two prime squares representation conjecture