EIU Challenge of the Week: Chotw to Oct. 15, 2010

Friday, January 21, 2011

Chotw to Oct. 15, 2010

Is it possible to put 12 positive integers along a circle so that the ratio of any two neighboring integers is a prime number? (We take the ratio of the bigger number to the smaller number.)

Is this possible with 13 positive integers?

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Rules for CHOTW

Any undergraduate currently enrolled at EIU is eligible to participate.
Each solution is to be the work of one individual and is to be submitted with the solver's
name, year in school, email address, local address and home address.
Each solution is to be written or typed and is due in the main Mathematics Department office by 2:00 p. m., Friday week of deadline given
Entries will be graded on the basis of clarity of exposition and elegance of solution.
An award of $20 will be given for the best solution, whenever possible.

EIU Challenge of the Week

Friday, January 21, 2011

Chotw to Oct. 15, 2010

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