pith. sign in
theorem

palindromic_prime_onehundredeightyone

proved
show as:
module
IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
domain
NumberTheory
line
2507 · github
papers citing
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plain-language theorem explainer

The theorem asserts that 181 is a prime number and notes its palindromic form. Number theorists working with small primes or arithmetic function examples could cite this concrete case. The proof is a one-line wrapper that invokes the native_decide tactic to evaluate the primality predicate directly.

Claim. The natural number 181 is prime.

background

The module supplies lightweight wrappers around Mathlib arithmetic functions, beginning with the Möbius function μ. This theorem sits inside that file as a basic primality fact. Upstream, Prime is a transparent alias for Nat.Prime.

proof idea

The proof is a one-line wrapper applying the native_decide tactic to confirm that 181 satisfies the primality condition.

why it matters

This supplies a specific palindromic prime example inside the arithmetic functions module. It feeds no downstream theorems. Within the Recognition framework it offers a basic number-theoretic instance, though it touches none of the T0-T8 forcing chain, RCL, or phi-ladder constructions.

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