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Unformatted text preview: Let A denote the sum of the decimal digits of 4444 4444 and let B be the sum of the decimal digits of A . Find the sum of the decimal digits of B . Exercise 5. Prove that every positive integer has a multiple whose decimal representation includes all ten digits. Exercise 6. Suppose p is an odd prime. Prove that p X j =0 ± p j ²± p + j j ² ≡ 2 p + 1 (mod p 2 ) . [Putnam Exam 1991, B4]...
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This note was uploaded on 02/29/2012 for the course MATH 1190 taught by Professor Ryandaileda during the Fall '10 term at Trinity University.
 Fall '10
 RyanDaileda

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