Abstract
The Sirius Code is a statistical methodology grounded in the Victoria-Nash Asymmetric Equilibrium (VNAE) from Game Theory, demonstrating how to achieve positive mathematical expectation in lotteries through a strategy known as partial coverage with concentrated density. Applied to Brazil’s Lotofácil (15/25), the method yielded a profit of $190,401.60 across 100 real draws using only 3,876 tickets per draw, and remained viable with long-term consistent gains even when significantly reducing the number of tickets (e.g., 388, 97, or 49). This was made possible by the “predictable random component” function, fv(Xt), which identifies exploitable structures within randomness to optimize bet allocation, particularly by targeting secondary prizes rather than the jackpot. The model is generalizable and scalable to a wide range of global lottery designs (e.g., 5/35, 6/59, 5/80), and provides mathematical validation - through the Law of Large Numbers, Chebyshev’s Inequalities, among other principles - that it is possible to systematically outperform lottery systems by taming randomness. As such, the approach enables sustainable profits over the medium to long term, even with limited financial and logistical resources, making it accessible not only to syndicates but also to individual players.