2010/044) Determine five infinite sets whose union is the natural numbers and whose mutual intersections are all empty.?

Determine five infinite sets whose union is the natural numbers and whose mutual intersections are all empty.?

S1 = { 5k : k >1}
S2 = { 5k+1 : k>=0}
S3 = { 5k+2 : k>=0}
S4 = { 5k +3: k>=0}
S5 = { 5k+4 : k>=0}