This is fascinating. Which is funny, considering I got dragged kicking and screaming through the watered down calculus they offer people who aren’t math majors. Of course, that was partly a matter of it being mandated for my major, and partly my not seeing how it was necessary. On the other hand, in high school I almost got moved retroactively into the advanced math program because I was a geometry star in 10th grade. I tend to need to grok some of the principles before I can go on, and if I am disinterested, I won’t work at the nuts and bolts.
I recently taught my nine year old daughter what prime numbers are. She’s in third grade, being introduced to multiplication, except I introduced her to that long ago. She has become more interested in math at school, now that it’s gotten to that, except she’s already toying with division, and at home she and the younger two play with negative numbers and square roots.
What’s particularly interesting here, beside that I did not know there was a concept called twin primes, is that this touches on concepts in addition, that most basic of functions. I love that the solution is by a complete unknown, confusing the establishment by coming out of nowhere.