Is it permissible to pray in the mosque with a continuous, odorless flatulence? And how many times must one perform ablution for prayer in this situation?

The emission of gas (farting) nullifies ablution, and it has two scenarios:

1. If it occurs at a specific time when it stops, then you must perform ablution and pray during that time. 2. If it is continuous, then perform ablution for each prayer after its time has begun, and pray the obligatory prayer and whatever supererogatory prayers you wish. What is emitted during the prayer will not harm you.

If the gas has a foul odor, then you should not attend the mosque, as it would cause discomfort to the worshippers and the angels. However, if it has no odor, then there is no impediment to your entering the mosque and sitting therein.