This conjecture proposes q(x) takes prime values for infinite positive integers x, suggesting new avenues in number theory.
We introduce a generalized structural arithmetic function q(x), defined as an integer linear combination of standard arithmetic functions. Under assumptions of non-degeneracy, arithmetic independence, and the existence of infinitely many odd positive values, we propose Vô Conjecture 28. This conjecture asserts that q(x)assumes prime values for infinitely many positive integers x, extending classical problems on the primality of arithmetic function values.
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Pseudonym Vô (2026) studied this question.
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