PAPs test for cells that can turn into cervical cancer, not ovarian. There is no regualr screening test for ovarian cancer (see
http://www.cancer.org/cancer/ovariancancer/detailedguide/ovarian-cancer-detection for more info).
Some doctors do PAPs annually along with HPV tests, but, some suggests PAPs every 3 years for ages 21-65.
"In certain situations a woman and her doctor may decide to end Pap testing, such as:
After a total hysterectomy. After a total hysterectomy — surgical removal of the uterus including the cervix — ask your doctor if you need to continue having Pap smears.
If your hysterectomy was performed for a noncancerous condition, such as uterine fibroids, you may be able to discontinue routine Pap smears.
But if your hysterectomy was for a precancerous or cancerous condition of the cervix, your doctor may recommend continuing routine Pap testing.
Older age. Doctors generally agree that women can consider stopping routine Pap testing at age 65 if their previous tests for cervical cancer have been negative." Web MD