pith. sign in
theorem

prime_fortyone

proved
show as:
module
IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
domain
NumberTheory
line
555 · github
papers citing
none yet

plain-language theorem explainer

41 is shown to be prime. Number theorists working with Möbius functions or squarefree checks would cite this concrete instance when verifying small primes. The proof is a one-line computational decision that confirms the predicate directly.

Claim. $41$ is a prime number.

background

The module supplies lightweight wrappers around Mathlib arithmetic functions, beginning with the Möbius function. Prime is the transparent alias for the standard natural-number primality predicate. This result supplies a basic concrete fact among the sibling arithmetic-function definitions.

proof idea

One-line wrapper that applies the decide tactic for direct computational verification of the primality predicate.

why it matters

The declaration supplies a basic primality fact inside the arithmetic-functions module. No downstream theorems are recorded, and the result does not connect to Recognition Science landmarks such as the J-uniqueness relation, phi-ladder, or eight-tick octave.

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