Generation method
Benford
A cosmetic lean toward the leading-digit pattern of Benford’s law — which a lottery does not actually follow.
Benford’s law, and where it does not apply
Benford’s law observes that in many natural datasets the leading digit is far from uniform — 1 leads about 30% of the time, 9 under 5% — following P(d) = log10(1 + 1/d). It holds for quantities that span many orders of magnitude (populations, river lengths, stock prices).
A lottery pool of 1–69 does not span orders of magnitude and is drawn uniformly, so its leading digits do NOT follow Benford — a point confirmed in academic treatments of the "lottery paradox." That is exactly why this method is honest: it can only bias how the numbers look.
A knowingly cosmetic lean
The method weights each number by its Benford leading-digit probability and samples accordingly, giving a set that leans toward low leading digits. It is a maths-flavoured curiosity, not an edge — every combination stays equally likely.
How we borrow its shape
The Benford method draws from genuine quantum entropy, then weights numbers by the Benford probability of their leading digit. Real randomness; the leading-digit lean is a knowingly cosmetic shape.
- Weights numbers by the Benford probability of their leading digit
- 1x and 2x numbers appear a little more often
- Honest by design: Benford does not apply to a uniform pool
Sources & further reading
- Benford’s Law and a Lottery Paradox (NTU) — Academic confirmation that uniform lottery draws do not follow Benford’s law.
- Benford’s law — Wikipedia — The leading-digit distribution P(d) = log10(1 + 1/d) and where it applies.
- Lotterycodex — equal probability — Every combination equally likely; leading-digit leans do not change that.