The suspected cases of sexual assault from 1991 to 1994 are time-barred, the authority announced on Thursday in response to an enquiry from the Catholic News Agency (KNA).
It thus confirmed a corresponding report in the Ingolstadt "Donaukurier" newspaper from the same day.
The Missionaries of the Sacred Heart responsible for the priests said that they had commissioned a preliminary canonical investigation at the Archbishop's Metropolitan Court in Salzburg.
The accused priests rejected the accusations.
According to the public prosecutor's office, the allegations that came to light last September concern the sexual abuse of children that allegedly took place at the boarding school in Rebdorf near Eichstätt, which was run by the Missionaries of the Sacred Heart at the time and has since been closed.
A former pupil filed a complaint against two priests in April 2023.