MathDB
Expression is an integer for n

Source: Baltic Way 1993

June 15, 2012
number theory proposednumber theory

Problem Statement

Determine all integers nn for which 252+6254−n+252−6254−n\sqrt{\frac{25}{2}+\sqrt{\frac{625}{4}-n}}+\sqrt{\frac{25}{2}-\sqrt{\frac{625}{4}-n}} is an integer.
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