;Definition A '''Giuga number''' is a composite number '''n''' which is such that each of its distinct prime factors '''f''' divide (n/f - 1) exactly. All known Giuga numbers are even though it is not known for certain that there are no odd examples. ;Example 30 is a Giuga number because its distinct prime factors are 2, 3 and 5 and: * 30/2 - 1 = 14 is divisible by 2 * 30/3 - 1 = 9 is divisible by 3 * 30/5 - 1 = 5 is divisible by 5
;Task Determine and show here the first four Giuga numbers. ;Stretch Determine the fifth Giuga number and any more you have the patience for. ;References * [[wp:Giuga_number|Wikipedia: Giuga number]] * [[oeis:A007850|OEIS:A007850 - Giuga numbers]]