From d79e122e044e02c1544992c8adc0f7aa8c4f8f91 Mon Sep 17 00:00:00 2001
From: "exercism-solutions-syncer[bot]"
 <211797793+exercism-solutions-syncer[bot]@users.noreply.github.com>
Date: Sat, 20 Jun 2026 20:26:45 +0000
Subject: [PATCH] [Sync Iteration] cpp/nth-prime/1

---
 solutions/cpp/nth-prime/1/nth_prime.cpp | 41 +++++++++++++++++++++++++
 solutions/cpp/nth-prime/1/nth_prime.h   |  5 +++
 2 files changed, 46 insertions(+)
 create mode 100644 solutions/cpp/nth-prime/1/nth_prime.cpp
 create mode 100644 solutions/cpp/nth-prime/1/nth_prime.h

diff --git a/solutions/cpp/nth-prime/1/nth_prime.cpp b/solutions/cpp/nth-prime/1/nth_prime.cpp
new file mode 100644
index 0000000..509a0ab
--- /dev/null
+++ b/solutions/cpp/nth-prime/1/nth_prime.cpp
@@ -0,0 +1,41 @@
+#include "nth_prime.h"
+#include <stdexcept>
+
+namespace nth_prime {
+
+// Función auxiliar
+bool is_prime(int num) {
+    if (num <= 1) return false;
+    if (num <= 3) return true; // 2 y 3 son primos
+    if (num % 2 == 0 || num % 3 == 0) return false; // Filtramos múltiplos de 2 y 3
+
+    // Bucle ultra avanzando de 6 en 6
+    for (int i = 5; i * i <= num; i += 6) {
+        if (num % i == 0 || num % (i + 2) == 0) {
+            return false;
+        }
+    }
+    return true;
+}
+
+int nth(int n) {
+    // Validación
+    if (n <= 0) {
+        throw std::domain_error("El argumento debe ser mayor o igual a 1.");
+    }
+
+    int prime_count = 0; // Cuántos primos llevamos encontrados
+    int current_num = 1; // Número que estamos probando en cada iteración
+
+    // 2. Bucle de búsqueda
+    while (prime_count < n) {
+        current_num++;
+        if (is_prime(current_num)) {
+            prime_count++;
+        }
+    }
+
+    return current_num; // Este es el n-ésimo primo
+}
+
+}
\ No newline at end of file
diff --git a/solutions/cpp/nth-prime/1/nth_prime.h b/solutions/cpp/nth-prime/1/nth_prime.h
new file mode 100644
index 0000000..a98c544
--- /dev/null
+++ b/solutions/cpp/nth-prime/1/nth_prime.h
@@ -0,0 +1,5 @@
+#pragma once
+
+namespace nth_prime {
+    int nth(int n);
+}
\ No newline at end of file