Shulchan Aruch O.C. 470:1 codifies that firstborns fast on Erev Pesach. In my experience, the widespread practice is for firstborns to attend a siyum of the completion of a tractate of Talmud, usually at a local synagogue, and then not fast.
I am planning on starting a synagogue, and I want things to be very organized. This includes having things set up so that there will be someone to make a siyum every Erev Pesach. To make things easier, I only want to have to find someone to make a siyum if there is not already someone to make one.
Given that there is a worldwide program of people studying Daf Yomi, it should be built into the calendar that there is someone to make a siyum every couple of months or so (depending on the varying lengths of tractates). Surely, some of these would coincide with Erev Pesach.
I want to be able to calculate how often this would happen. To keep it simple, I am only interested in cases where the tractate is finished exactly on Erev Pesach. I want to plan in advance as much as possible, so I am thinking about years and even decades into the future as well.
Is there any (relatively) simple way to make this calculation? Has someone already made it? Or will I have to sit with a Daf Yomi calendar and manually check every Erev Pesach?