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isWeakGiuga_iff_sum_primeFactors

Specification

A composite number $n$ is weak Giuga if and only if $$ \sum_{p\mid n} \frac{1}{p} - \frac{1}{n} \in\mathbb{N}. $$

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Lean 4 Statement 
theorem isWeakGiuga_iff_sum_primeFactors {n : ℕ} (hn : n.Composite) :
    IsWeakGiuga n ↔ ∃ m : ℕ, ∑ p ∈ n.primeFactors, (1 / p : ℚ) - 1 / n = m
ID: Wikipedia__AgohGiuga__isWeakGiuga_iff_sum_primeFactors
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