EIU Challenge of the Week: Chotw to Nov. 5, 2010

Friday, January 21, 2011

Chotw to Nov. 5, 2010

Can the sum of the reciprocals of a finite number of distinct positive integers be equal to 2009/2010? If yes, show such integers and if not, prove that such integers do not exist.

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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 Nov. 5, 2010

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