Definition:Giuga Number/Examples

Examples of Giuga Number

30

$30$ is a Giuga number (the smallest):

$\dfrac 1 2 + \dfrac 1 3 + \dfrac 1 5 - \dfrac 1 {30} = 1$

858

$858$ is a Giuga number:

$\dfrac 1 2 + \dfrac 1 3 + \dfrac 1 {11} + \dfrac 1 {13} - \dfrac 1 {858} = 1$

1722

$1722$ is a Giuga number:

$\dfrac 1 2 + \dfrac 1 3 + \dfrac 1 7 + \dfrac 1 {41} - \dfrac 1 {1722} = 1$

$244 \, 197 \, 000 \, 982 \, 499 \, 715 \, 087 \, 866 \, 346$

$244 \, 197 \, 000 \, 982 \, 499 \, 715 \, 087 \, 866 \, 346$ is a Giuga number:

$\dfrac 1 2 + \dfrac 1 3 + \dfrac 1 {11} + \dfrac 1 {23} + \dfrac 1 {31} + \dfrac 1 {47 \, 137} + \dfrac 1 {28 \, 282 \, 147} + \dfrac 1 {3 \, 892 \, 535 \, 183} - \dfrac 1 {244 \, 197 \, 000 \, 982 \, 499 \, 715 \, 087 \, 866 \, 346} = 1$