Is it necessary to renew the ablution when prayer is interrupted due to excessive laughter from Satan, or remembering not to have said the opening takbir, or any other reasons besides passing gas or urinating?

If someone invalidates their prayer by an act that nullifies ablution (hadath), their prayer becomes void, and they must repeat their ablution and prayer if it was obligatory. However, if someone invalidates their prayer by something other than hadath, such as speaking intentionally or turning away from the Qibla, only their prayer becomes void, not their ablution. They are then required to resume the prayer if it was obligatory.

As for loud laughter (qahqahah) during prayer, it does not invalidate ablution according to the majority of scholars, and this is the most correct view. This is because the acts that nullify ablution are specific and confined, and there is no authentic proof that laughter nullifies it. All narrations regarding this are weak, by the consensus of the hadith scholars. Laughter only invalidates the prayer. As for someone who did not utter the opening takbir (Takbirat al-Ihram), they did not actually enter into the prayer in the first place, so they must resume the prayer, but they are not required to repeat their ablution.

Intentionally invalidating an obligatory prayer is not permissible except for a valid excuse, based on Allah’s saying: "And do not invalidate your deeds" (Quran 47:33). However, there is a difference of opinion among scholars regarding intentionally invalidating a supererogatory (nafl) prayer.