Square numbers

Square numbers: lottery balance

The squares of 1 to 6. An elegant mathematical pattern for number lovers. This is how the combination would have played out since 1955.

LOTTO 6aus49
1 4 9 16 25 36 4

Your result after 72 years

You would have lost 2.785 €
In 4.997 draws from 1955 to 2026
Total stake
3.845 €
Gross winnings
1.060 €
Net balance
− 2.785 €
On a long-run average, 1.649 € would have come back.

Mathematical average across all prize tiers and draws in the selected period. Playing the same numbers hundreds of times, this is roughly what you'd get back on average. Your actual result depends on whether the right numbers were drawn.

Breakdown of your matches

What if you had invested in an ETF instead…

The same weekly amount, invested monthly into an S&P 500 ETF, would be worth today:

657.776 €

Gain: +654.006 € (+17,350% over 4.997 draws)

We use the S&P 500 with dividend reinvestment. The MSCI World is very comparable in the long run.

A look back and a look ahead

The owl has something more for you, in both directions

Looking back
The draw from this exact day, years ago
Draw from 29.05.2021 (Saturday)
44 16 9 45 10 46 8
2 matches No prize
Looking ahead
If you keep playing, over the years
Keep playing Lotto
-267 €
Expected net loss
Stake under the pillow
417 €
Remaining purchasing power
Savings account (2%)
591 €
ETF (7%)
770 €
Assumptions: 2.5% inflation, 2% savings, 7% ETF (historical averages, no guarantee). Lottery expected value based on actual payout ratio.
The Lottoeule in a thinking pose, one wing on its forehead, looking sideways in thought.
The owl shows you the maths. The choice is yours. More in the FAQ →

About the combination "Square numbers"

One, four, nine, sixteen, twenty-five, thirty-six. The squares of the numbers 1 to 6. For everyone who had a good time with mathematics at school, this sequence has a special appeal. It seems ordered, well thought out, a little smarter than a random pick.

Mathematically, it is still exactly as likely or unlikely as any other combination. And because the pattern is well known, several people pick it independently of one another. The square numbers also lie mostly in the low range, which puts them in the same zone as the many birthday players. Nice to look at, but no advantage at the drawing drum.