prime_fivehundredninetythree
plain-language theorem explainer
593 is established as a prime number. Researchers working with arithmetic functions and Möbius inversions in the Recognition Science framework would cite this concrete fact for prime-specific cases. The proof is a one-line wrapper that invokes native_decide to confirm the primality predicate directly.
Claim. $593$ is a prime number.
background
The module supplies lightweight wrappers around Mathlib's arithmetic function library, beginning with the Möbius function. Prime is the transparent alias for the standard primality predicate on natural numbers. The local setting keeps statements lightweight to permit later layering of Dirichlet algebra and inversion once basic interfaces stabilize.
proof idea
The proof is a one-line wrapper that applies native_decide to the statement that 593 satisfies the Prime predicate.
why it matters
This theorem supplies a verified concrete prime inside the arithmetic functions module. It supports downstream handling of prime arguments in Möbius and related functions, consistent with the module's role as a foothold for number-theoretic constructions. No direct parent theorems or open questions are recorded in the dependency graph.
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