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...Ashort course in python for number theory jim carlson draft of may contents introduction as a calculator basic programs series counting brute force search some standard algorithms trial division the euclidean algorithm linear diophantine equations modular powers miscellaneous testing randomness numerical integration pseudorandom numbers these very brief notes are intended way to get started using theoretic computations has several advantages including clean structure and arbitrarily large integers native data type an interpreted language it is not particularly fast but enough many purposes good tool learning experimentation with just few lines one do great deal see example implementation nding greatest common divisor solving equation ax by c computing k mod n handles ease even when question hundreds digits long once student understands well examples presented below combination curiosity mathematicalknowledge andsomegoodreferencesonpythonwillbeenoughtodomanyinteresting reader would cert...