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Express the integers and as sums of four squares

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HOMEWORK 8

MATH-UA 0248-001 THEORY OF NUMBERS due on Nov, 16, 2020

1. Express the integers 231, 391 = 17·23 and 2109 = 37·57 as sums of four squares.

2. Find all primes that are representable as sums of two cubes.

3. Show that no integer of the form 9k+ 4 or9k+ 5 is a sum of three cubes.

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