Is it obligatory to repeat the missed prayers for five days, and the Dhuhr prayer for the Day of Doubt, due to wiping over the socks for a period exceeding the legally stipulated duration?

If a resident wipes over his socks for five days, his prayers are invalid for the last four days. If he is a traveler, his prayers become invalid in the last two days, because his purification was not sound. All invalid prayers must be repeated to absolve oneself, based on the saying of the Prophet, peace and blessings be upon him: "Allah's debt is more deserving of being paid." This includes prayers whose ablution is doubtful as well as those that have been ruled invalid. The majority opinion is that repetition is obligatory, contrary to Ibn Taymiyyah, who does not deem repetition necessary for the ignorant, but what we have mentioned is more cautious.