The Lotto «6 aus 45» draw sums deviate from Benford's law: χ² = 46.4 against a threshold of 15.5 (sample: 20). Most often the sum begins with the digit 1 — 100%.Data includes draw #3334 of 26.07.2026.
Important: Benford's law describes numbers that span several orders of magnitude — from units to thousands and beyond. Lottery draw sums sit in a narrow band, so their deviation from Benford is expected and is NOT a sign of a rigged draw. This checks the shape of the distribution, not the honesty of the lottery.
Benford's law (the first-digit law): in “natural” multi-order data the digit 1 comes first about 30% of the time, while 9 does so only 4.6%, per the formula:
P(d) = log₁₀(1 + 1/d)
Where to next
Total draw sum
The distribution and range of Lotto «6 aus 45» sums — the very numbers whose first digits Benford examines.
OpenRuns test
Whether Lotto «6 aus 45» has non-random streaks and droughts — another view of randomness.
OpenShannon entropy
How evenly Lotto «6 aus 45» numbers are spread — a measure of unpredictability.
OpenPearson's χ² test
A χ² check of Lotto «6 aus 45» drum bias by the frequency of each ball.
OpenFrequently asked questions about Lotto «6 aus 45»
What is Benford's law?
Benford's law (the first-digit law) is the observation that in datasets spanning many orders of magnitude the leading digits are distributed unevenly: 1 appears about 30% of the time, while 9 only 4.6%. Formula: P(d) = log₁₀(1 + 1/d).
Why do Lotto «6 aus 45» draw sums deviate from Benford's law?
Because the law works for data spanning several orders of magnitude — units, tens, hundreds, thousands. The Lotto «6 aus 45» ball sums sit in a narrow band around the mean, so the first digit is set by that range, not by Benford. The deviation here is a normal consequence of lottery maths, not an anomaly.
Does matching Benford prove Lotto «6 aus 45» is honest?
No. Because of the narrow range of sums, the Benford test is weakly informative for a lottery: both a match and a deviation are possible for a perfectly fair draw. To check drum uniformity, Pearson's χ² on ball frequency and the runs test are more reliable.
What does the χ² test mean on this page?
χ² compares the observed distribution of first digits with the one expected under Benford. A value below the critical 15.5 (df=8, α=0.05) means the shape is close to Benford; above it, they diverge. This describes the shape, not a verdict on the lottery's honesty.
Can Benford's law predict Lotto «6 aus 45» numbers?
No. Benford's law is a tool for describing the distribution of first digits, not a forecast. It says nothing about which specific numbers will come up in the next Lotto «6 aus 45» draw.