Chinese reminder problem


Assignment:

Q1. 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

Q2. What are the first 20 solutions to Sun Tsu's Chinese Remainder problem?

Q3. 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

Provide complete and step by step solution for the question and show calculations and use formulas.

 

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Algebra: Chinese reminder problem
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