Why Number Theory is Hard

Number theory is a field of mathematics that dates back to the earliest civilizations, but why is it so notoriously difficult? In essence, it boils down to addition and multiplication each cannibalizing the nice properties the other brings to the table.

Notes:

Scaling a vector by 0 always produces the 1-vector, corresponding to the fact that n^0 = 1 for all integers n.

I apologize for the audio discrepancies.

#math #numbers #addition