What is the current estimate for the number of nuclides? This is a very basic question, but I'm finding it remarkably hard to get a reliable, up-to-date answer. A few books published in the last 2-3 years say it's greater than 3000, but this number seems to be changing rapidly: a Canadian Nuclear Association website says greater than 3100. There should be an easier way to find the answer than counting all the pixels in the Live Chart of Nuclides. I hoped that the Nuclear Wallet Cards search might be useful, but it isn't for this sort of question. I have a similar problem finding the current estimate for the number of stable nuclides.
A paper published in Nature (2012) states that there are just over 3000 nuclides but up to 7000 are possible. Even within those 7,000, the vast majority would be unstable, lasting only a tiny fraction of a second. Of the 3,000 known nuclides, only 288 are stable.
http://ne.phys.kyushu-u.ac.jp - states there are 2975 nuclides.