EuroMillions: number permutations – the winning numbers arranged differently
5 staircase permutations (from a set of 42): the numbers are cut into blocks of seven (1–7, 8–14, … , 43–50); each permutation stacks the blocks in its own order and shifts them into a staircase. The winning numbers of the chosen draw are marked, and the frames show how tightly they cluster in this arrangement.
Other permutations
Frames of more than 28 numbers are not drawn.
Frequency permutation: numbers ranked by the last N draws
The same staircase geometry as the permutation chosen above, but the cells are filled by frequency: cell 1 gets the number drawn most often in the last N draws (before the chosen draw), cell 2 the second most often, and so on (ties: smallest number first). N is your choice.
For entertainment: any group of numbers can be brought into a small frame by reordering the blocks. The arrangement changes nothing about the probability of the next draw.
How it works
The numbers are split into blocks of seven and arranged in a staircase pattern. For the selected draw, a red frame shows how tightly the winning numbers sit in this arrangement; orange: best 4 of 5, teal/green: previous/next draw. The frequency permutation fills the cells according to the frequency over the last N draws.
Example
If all winning numbers lie in a 3 × 4 frame of 12 numbers, it looks compact – but with 5 permutations such an arrangement can almost always be found.
Limitations
The backtest under each arrangement shows that the numbers of the next draw fall into the frame exactly as often as chance would predict.
Frequently asked questions about this tool
- Where do the permutations come from?
- From a fixed set of 42 staircase permutations; 5 are shown, optionally those with the smallest frames.