You can ask the question about these ancient topics, such as perfect numbers and amicable numbers... and ask, are these good problems... I'd like to give a small amount of evidence... that they are... [S]tudying them helped us develop all of elementary number theory and from elementary number theory we developed the rest of number theory, and also you can argue that from elementary number theory came algebra.. (Carl Pomerance)

You can ask the question about these ancient topics, such as perfect numbers and amicable numbers... and ask, are these good problems... I'd like to give a small amount of evidence... that they are... [S]tudying them helped us develop all of elementary number theory and from elementary number theory we developed the rest of number theory, and also you can argue that from elementary number theory came algebra..

Carl Pomerance

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