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Problem 10. (Ramanujan Numbers) Srinivasa Ramanujan was an Indian mathematician who became famous for his intuition for numbers. When the English mathematician G. H. Hardy

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Problem 10. (Ramanujan Numbers) Srinivasa Ramanujan was an Indian mathematician who became famous for his intuition for numbers. When the English mathematician G. H. Hardy came to visit him one day, Hardy remarked that the number of his taxi was 1729, a rather dull number. Ramanujan replied, "No, Hardy! It is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways." Verify this claim by writing a program ramanujan,numbers.py that accepts n (int) as command-line argument, and writes to standard output all integers less than or equal to n that can be expressed as the sum of two cubes in two different ways. In other words, find distinct positive integers a, b, c, and d such that a + b = c + d sn. > "/workspace/project2 $ python3 ramanujan numbers.py 2000 1729 - 13. 123 -93 103 Hints * Use four nested while loops, with these bounds on the loop variables: 1

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