Is there a positive integer n existing that can not be divided by 3 and that has the characteristic, that 3/n can be constituted in exactly 2021 ways as a sum of two unit fractions?
The result obviously needs to be proven!
Search found 2 matches
- Sun Jan 24, 2021 11:08 pm
- Forum: Secondary Level
- Topic: Sum of two unit fractions
- Replies: 0
- Views: 6256
- Sun Jan 24, 2021 11:02 pm
- Forum: Secondary Level
- Topic: Dividing a cube
- Replies: 2
- Views: 9812
Dividing a cube
A cube with an edge length of 10 is divided into two cuboids with integer edge length by a flat cut. Afterwards, one of these cuboids is again being divided into two smaller cuboids with integer edge lengths by a second flat cut. What´s the smallest possible volume of the biggest of the three cuboid...