Fibonacci sequence

Fibonacci sequence: lottery balance

The maths behind the big win. This is how the combination would have played out since 1955.

LOTTO 6aus49
1 2 3 5 8 13 2

Your result after 72 years

You would have won 1.054 €
In 5.007 draws from 1955 to 2026
Total stake
3.859 €
Gross winnings
4.913 €
Net balance
+ 1.054 €
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:

747.583 €

Gain: +743.791 € (+19,614% over 5.007 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 07.07.2021 (Wednesday)
8 43 31 29 23 2 9
2 matches No prize
Looking ahead
If you keep playing, over the years
Keep playing Lotto
-268 €
Expected net loss
Stake under the pillow
419 €
Remaining purchasing power
Savings account (2%)
593 €
ETF (7%)
773 €
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 "Fibonacci sequence"

The Fibonacci sequence was named after Italian mathematician Leonardo "Fibonacci" of Pisa (c. 1170 to 1240) and describes the growth pattern found in sunflower seeds, pinecones, and the golden-ratio spiral. In the lottery it carries no mathematical advantage. 1, 2, 3, 5, 8, 13 has the exact same probability as any other combo, 1 in 13,983,816.

It is, however, popular with maths fans and pattern players, which slightly compresses the payout in case of a win. Much less dramatically than with 1-2-3-4-5-6, but noticeably. What's statistically interesting is a different property: the sequence sits entirely in the low-number band (all ≤ 13). Such cluster combos appear in actual draws less often than evenly spread ones, because random distribution tends to spread wider. Which doesn't mean it never lands. It just doesn't fall every Saturday.