Number 31

In Mega Millions under the 5/70 + 1/24 · since Apr 2025 rules — 158 draws, 5 from 1–70.

10times drawn · chance expected 11 −0.40σ

27draws waiting · a wait this long: 15% for any number

11.8average wait between appearances · chance says 14.0

28longest completed wait · 73% chance of one at least that long

31 is drawn as often as chance explains

Drawn 10 times in 158 draws against 11.3 expected, −0.40σ. Each draw is independent: after 27 draws away it is exactly as likely tonight as a number drawn yesterday.

Number 31, draw by draw

Drawn 10 times in 158 draws · average wait 11.8 draws · longest completed wait 28 · waiting 27 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 small number the low positions more often. That is the shape of sorting, not of the machine.

1st smallest1 · chance 1.0
2nd smallest2 · chance 3.2
3rd smallest5 · chance 3.7
4th smallest2 · chance 1.8
5th smallest0 · chance 0.3

Every position’s lane →

The company it keeps

Seen most often with these — chance gives every partner about 0.6 shared draws, and the leaders are simply the ones that came out ahead this time.

63 19 56 11 32 45

Never drawn alongside 39 of the other 69 numbers; chance expects about 39 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 70. 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
2026-07-07	27	2nd	2 31 35 36 63
2026-04-03	28	1st	31 45 62 63 68
2025-12-26	9	3rd	9 19 31 63 64
2025-11-25	1	3rd	11 15 31

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 5/70 tonight whatever it did last week.