I completed a practice (not for marks) assignment for an organic chemistry course, and one of the questions asked for the pKa of methylamine.
I looked on PubChem, and it gave a result of $10.6$. Marking myself, I found that the answer key states the $\mathrm{p}K_\mathrm{a}$ of methylamine is $33$! Especially on a log scale, that is not a trivial difference.
I talked to my professor about it; he was confident the true $\mathrm{p}K_\mathrm{a}$ is in the low thirties and stated that I need to be skeptical of material online. His point in part was that there was no way methylamine was more acidic than water.
I am not personally convinced on either number yet.
What is the $\mathrm{p}K_\mathrm{a}$ of methylamine, and what evidence supports that number?