May Chan
01/15/2024 · Junior High School

6.26. Sean \( p, q \) primos impares diferentes, determine cuantos enteros del conjunto \( 1,2, \ldots, p q \) son primos relativos con \( p q \). 6.27. Encuentre todos los pares de primos \( p \) y \( q \) que satisfacen que \( p-q=3 \). 6.28. Demuéstre que la conjetura de Goldbach implica que cada entero mayor que 5 es la suma de tres primos.

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**6.26.** El número de enteros del conjunto \( \{1, 2, \ldots, pq\} \) que son primos relativos con \( pq \) es \( (p-1)(q-1) \). **6.27.** El único par de primos que satisface \( p - q = 3 \) es \( (5, 2) \). **6.28.** La conjetura de Goldbach implica que cada entero mayor que 5 puede ser expresado como la suma de tres primos.

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