Number theory books for someone with algebra background

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modnarandom
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Does anyone have suggestions for number theory references? I'm already familiar with elementary number theory and have some algebra background, but I'm not sure what kind of number theory I'm interested in yet. Thanks!
 
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Prime Numbers a Computational Perspective
by Carl Pomerance

is one of the best.
 
Yan: Number Theory for Computing
Shoup: A Computational Introduction to Number Theory and Algebra
Kumanduri: Number Theory with Computer Applications
Hard to find an written in German:
Forster: Algorithmische Zahlentheorie