The Dover
reprint of my 1970 text
Elementary Number Theory: an Algebraic Approach
is available directly from
the publisher. Because it's Dover it's a mere $14. No need to go
to Amazon to save two dollars.
Here's the new Preface.
The red points in the cover image identify the primes in the Gaussian integers - the ring of complex numbers with integer coordinates. The green points correspond to 2 and the ordinary integer primes of the form 4n+1. Fermat proved that just those primes are the sums of two squares, so they factor in the Gaussian integers. (Theorem 14.5 on page 31).The image is from www.uwm.edu/People/amasaros/, reproduced with permission.
If you have a copy of the original edition you will want to know about
the errata. If you buy the new one you'll
find this list there.