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Curious Prime Numbers

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Visit this site: http://www.frazmtn.com/~dsheets/primes.html
Author:Debra Sheets and Bill Tomlinson
Description: The curiosity presented was discovered after trying to solve the following puzzle: There are 2 mathematicians S and P. S knows the sum of two numbers and P knows the product of those same two numbers. Assume that the numbers are integers greater than 1 and that the mathematicians know this. For simplicity, let the first number be less than or equal to the second. Furthermore assume that each mathematician only speaks truly. The conversation goes as follows: S: I know that you don't know what the two numbers are. P: Now, I do know what the two numbers are. S: Now, I know what the two numbers are. What are the two numbers?
Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles
Math Topics: Prime Numbers, Logic/Foundations

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