Number 31

In Euro Millions Plus under the 5/50 · since Sep 2024 rules — 211 draws, 5 from 1–50.

17times drawn · chance expected 21 −0.94σ

14draws waiting · a wait this long: 25% for any number

11.5average wait between appearances · chance says 10.0

26longest completed wait · 70% chance of one at least that long

31 is drawn as often as chance explains

Drawn 17 times in 211 draws against 21.1 expected, −0.94σ. Each draw is independent: after 14 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 17 times in 211 draws · average wait 11.5 draws · longest completed wait 26 · waiting 14 draws now

a completed wait — darker is longer the wait still running — a lower bound, not a finished gap

Where it lands in a sorted draw

Sort a draw and 31 has a favourite seat — chance gives a large number the high positions more often. That is the shape of sorting, not of the machine.

1st smallest0 · chance 0.3
2nd smallest1 · chance 2.3
3rd smallest6 · chance 6.0
4th smallest8 · chance 6.2
5th smallest2 · chance 2.2

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 1.4 shared draws, and the leaders are simply the ones that came out ahead this time.

2 3 5 6 11 16

Never drawn alongside 12 of the other 49 numbers; chance expects about 12 such strangers by now. Every pair →

How many people play it

Under the crowd model, 31 is picked about 1.22× as often as an indifferent choice — 15th most popular of 50. That changes nothing about whether it comes up, and everything about how many ways a jackpot on it would be shared.

Numbers 1–31 — the birthday zone ×1.22

The model and its sources → · What people believe about 31 →

Every draw it appeared in

Date	Wait	Position	The draw
2026-08-21	7	4th	5 6 20 31 32
2026-07-28	12	5th	3 5 11 15 31
2026-06-16	5	4th	2 24 26 31 46
2026-05-29	6	4th	8 16 25

What this cannot tell you

Nothing here predicts the next draw. A number’s history is a record of a fair machine’s past, and the machine keeps none of it: 31 is drawn with probability 5/50 tonight whatever it did last week.