[tex]p+q=75,~unde~p~si~q~sunt~numerele~cautate~(p\ \textless \ q) \\ \\ 75~este~impar. \\ \\ Suma~a~doua~numere~este~un~numar~impar~daca~cele~doua~numere \\ \\ au~paritati~diferite.~Ca~atare,~unul~dintre~numere~este~par,~iar~ \\ \\ celalalt~impar. \\ \\ Singurul~numar~prim~par~este~2,~deci~p=2.[/tex]
[tex]q=75-p=75-2=73. \\ \\ Diferenta:~q-p=73-2=71.[/tex]