Over 41 hours of continuous Monte Carlo simulation, our engine generated 68.83 billion Eurojackpot columns, observed 520 jackpots, and confirmed the Law of Large Numbers to within ±0.64% across all 50 main numbers. The interactive academy and educational modules remain available; the live simulator has been retired.
crypto.randomBytes() as its entropy source — the same hardware-grade RNG used in cryptography. Across all measured dimensions (frequency, pair affinity, streak distribution, tier frequencies), no statistically significant deviation from theoretical uniform behavior was detected. If your random source is good, the math works exactly as advertised.| Tier | Observed | Expected | Deviation |
|---|---|---|---|
| 5+2 | 520 | 492 | +5.65% |
| 5+1 | 9,735 | 9,844 | −1.11% |
| 5+0 | 21,944 | 22,148 | −0.92% |
| 4+2 | 110,473 | 110,624 | −0.14% |
| 4+1 | 2,215,141 | 2,212,476 | +0.12% |
| 3+2 | 4,870,008 | 4,866,395 | +0.07% |
| 4+0 | 4,985,665 | 4,978,070 | +0.15% |
| 2+2 | 69,842,053 | 69,829,933 | +0.02% |
| 3+1 | 97,458,725 | 97,327,895 | +0.13% |
| 3+0 | 219,307,305 | 219,067,265 | +0.11% |
| 1+2 | 366,685,260 | 366,607,151 | +0.02% |
| 2+1 | 1,396,938,952 | 1,396,598,667 | +0.02% |
Theoretical counts computed from P(tier) × 68,829,700,000 columns. Tiers with the highest sample counts (last 5) converge to four decimal places; jackpot tier shows expected sampling noise.
Architecture. The simulator ran on AWS Fargate with a Node.js worker generating Eurojackpot columns 24/7 using crypto.randomBytes(). Aggregated counts were flushed to a PostgreSQL database every 30 seconds, with statistics streamed in real time via Redis Pub/Sub to a WebSocket-connected frontend. After 41 hours of continuous operation, the infrastructure was retired and the final dataset was archived statically into the pages you are now reading.
Reproducibility. All client-side educational modules use the browser's native crypto.getRandomValues() entropy source — identical in quality to the simulator's RNG. The number generator on this site produces columns indistinguishable from the original engine's output.
Disclaimer. This research has no predictive value for future Eurojackpot draws. Random independence is the central conclusion — past observations do not influence future outcomes. The site is for educational and statistical purposes only.