Question: 5. (20 points) Represent the prime 537877 as a sum of two squares via two different methods, namely (i)Thue's method and (ii)Fermat's descent method. Observe

5. (20 points) Represent the prime 537877 as a sum of two squares via two different methods, namely (i)Thue's method and (ii)Fermat's descent method. Observe that 537877 = 1 mod 4

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