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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Could I possibly exploit distinct odd primes raised to 6 to solve Exact Three Cover, when re...

Going by your notation, $c \in C$, $c=(x_1, x_2, x_3), x_i \in S \simeq \{1, \cdots , N \}$, and $\phi(c) \to \mathbb N$ the map you mentioned, $(\alpha_1,\cdots, \alpha_3) \mapsto \sum_i p_{\alpha_i …
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