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Arithmetics: Chinese Reminder problem

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1) Derive a formula to find all numbers that meet the following conditions:
• Divide by 3 the remainder is 1
• Divide by 29 the remainder is 6

2) What are the first 20 solutions to Sun Tsu's Chinese Remainder problem?

3) Derive a formula to find all numbers that meet the following conditions:
• Divide by 3 the remainder is 1
• Divide by 7 the remainder is 4

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Solution Summary

Deriving formulas to meet certain conditions for using Tsu's Chinese Remainder problem.

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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