Rational Number Expressible as Sum of Reciprocals of Distinct Squares/Examples/One Half

Examples of Rational Number Expressible as Sum of Reciprocals of Distinct Squares

$\dfrac 1 2$ can be expressed as the sum of a finite number of reciprocals of distinct squares as follows:

$\dfrac 1 2 = \dfrac 1 {2^2} + \dfrac 1 {3^2} + \dfrac 1 {4^2} + \dfrac 1 {5^2} + \dfrac 1 {7^2} + \dfrac 1 {12^2} + \dfrac 1 {15^2} + \dfrac 1 {20^2} + \dfrac 1 {28^2} + \dfrac 1 {35^2}$

Sources

• 1987: Michał Szurek: Opowieści matematyczne
• 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): Egyptian Fractions