The following is an explanation of the conditions contained in Our Lady's request regarding the Communion of reparation on the First Five Saturdays of the Month. 

Five First Saturdays
In Reparation to the Immaculate Heart of Mary

By Fr. Donald Calloway, MIC

What are the Five First Saturdays?
Our Lady explained those Five First Saturdays to Sr. Lucia dos Santos, one of the Fatima visionaries, on Dec. 10, 1925, in the following way:

See, my daughter, my Heart encircled by thorns with which ungrateful men pierce it at every moment by their blasphemies and ingratitude. Do you, at least, strive to console me. Tell them that I promise to assist at the hour of death with the graces necessary for salvation all those who, in order to make reparation to me, on the First Saturday of five successive months, go to Confession, receive Holy Communion, say five decades of the Rosary, and keep me company for a quarter of an hour, meditating on the … mysteries of the Rosary.

Why five First Saturdays in particular? Jesus explained this to Sr. Lucia on May 29-30, 1930, saying:

Daughter, the motive is simple: There are five kinds of offenses and blasphemies spoken against the Immaculate Heart of Mary.

First: blasphemies against the Immaculate Conception

Second: against her Virginity

Third: against the Divine Maternity, refusing, at the same time, to receive her as the Mother of mankind

Fourth: those who seek publicly to implant, in the hearts of children, indifference, disrespect, and even hate for this Immaculate Mother

Fifth: those who revile her directly in her sacred images

Here, dear daughter, is the motive that led the Immaculate Heart of Mary to petition Me to ask for this small act of reparation. And, out of regard for her, to move My mercy to pardon those souls who have had the misfortune to offend her. As for you, seek endlessly, with your prayers and sacrifices, to move Me to mercy in regard to these poor souls.

Immaculate Heart of Mary, pray for us!