What Actually Goes Where
The periodic table is just a grid where each element gets a slot based on its proton count. The number you see above the symbol for any element is the proton count. That is it. No hidden layers. Hydrogen is 1 because it has one proton. Gold is 79 because it has 79 protons. Everything else follows from that. People sometimes get confused when they look at entries that list a range instead of a single number, like promethium or technetium. Those elements have no stable isotopes, so reference tables will show the mass number of the longest-lived isotope rather than a fixed integer. That is a convention issue, not a physics issue.
Reading Protons On The Periodic Table
If you are working through a reference, the atomic number is always the first thing you should check. It comes before the symbol and before the weight. The weight number below the symbol is the average atomic mass, which is a weighted average of all natural isotopes. Do not confuse the two. I have seen people use the average mass as the proton count in stoichiometry problems and then wonder why the numbers never balance. When I was building a small calculator for isotope ratios a few years back, I ran into a problem with elements that have variable proton-related behavior in different oxidation states. Not the proton count itself changing, obviously, but the way the electron configuration shifts. I ended up hard-coding the proton number from the IUPAC standard table and cross-referencing it against isotope data from NIST. Took me about three days to sort through the edge cases for lanthanides and actinides where the filling order gets messy. If you are doing anything with those rows, expect extra work. The common mistake is assuming the table is static. It is not. IUPAC updates it when new elements are confirmed. Element 118 was added after I had already printed some reference sheets. You end up with outdated material if you are not paying attention. That happened to me once. I had to reprint everything for a workshop.
Another thing people miss is that the proton count does not change during chemical reactions. It only changes in nuclear reactions. If you are modeling something like beta decay or fission, the proton count of the products will differ from the reactants. This is obvious in theory but easy to overlook when you are writing code that tracks element transformations. I wrote a script that accidentally treated a decay chain as a normal reaction network and got completely wrong product distributions. The fix was adding a nuclear reaction layer that explicitly allows the atomic number to change. If you want a practical reference, the best source is the IUPAC periodic table website. It is free, updated, and lists proton numbers in a straightforward format. Some commercial tables add extra information like electronegativity or phase at room temperature, but those are secondary. The proton number is the anchor. Everything else hangs off it. For people who need this in a programmatic format, JSON and CSV dumps are available from several open data repositories. I used a NIST-based dump for a project a while back. It had the proton count, symbol, name, atomic weight, and group. Not every entry had complete isotope data, but for most purposes the core fields are sufficient. If you need full isotope chains, you will have to pull from the nuclide tables separately.
Get the Full Details

One more practical note. If you are using the proton count to validate user input, like checking whether a given atomic number is real, remember that elements beyond 118 have not been officially named yet. Synthetic elements up to around 176 are predicted to exist, but there is no official table entry for them. Do not treat predicted elements as confirmed data.