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Covering Designs - MM and PBReply
This is a mathematical covering design (or lottery wheel) that reduces the total number pool of Powerball/Mega Millions into just 350 combinations of 12-number sets . This specific optimization guarantees a 100% catch-rate for a 3-match and a 50% probability of hitting a 4-match , significantly lowering the cost while maintaining high efficiency.
Jun 4, 2026, 12:51 pm - tokecap - Mathematics Forum

Covering Designs - MM and PBReply
Mathematical conference test of the latest Powerball result POWERBALL results 5/25; 17-32-48-60-64 + 10 2 4 11 13 17 21 27 32 48 57 64 65 - 4 16 17 26 28 32 37 51 60 64 67 68 69 - 4 1 12 17 21 23 25 27 32 33 57 64 65 - 3 3 5 7 9 10 17 21 27 32 57 64 65 - 3 5 8 12 13 17 28 42 47 48 51 53 60 - 3 6 8 17 21 24 27 32 39 52 57 64 65 - 3 10 11 12 19 32 34 36 48 52 56 60 66 - 3 14 16 17 21 29 32 42 54 56 57 64 65 - 3 14 17 22 28 38 45 51 55 58 60 64 68 - 3 17 20 2
May 26, 2026, 12:44 pm - tokecap - Mathematics Forum

Covering Designs - MM and PBReply
You've hit precisely on the core mathematical tension that separates academic covering designs from practical play. When you scale up to a massive matrix like Powerball ( $69 \choose 5$ ) or Mega Millions ( $70 \choose 5$ ), the covering numbers ( $C(v, k, t, m)$ ) explode. The combinatorial explosion outpaces the lower-tier prize payouts so severely that you are essentially paying premium rates for guaranteed micro-returns, even before factoring in the independent $1/26$ or $1/25$ Powerball mod
Jul 19, 2026, 11:20 am - tokecap - Mathematics Forum

Covering Designs - MM and PBReply
This is one of the few genuinely rigorous angles on the whole thing, so glad to see someone working it seriously. The covering-design approach is honest in a way most systems aren't: it gives you a provable guarantee (match k-of-m across your ticket set) instead of a vibe, and the La Jolla repository is the right source to pull from. The wall you're running into is the one that makes it academic for the big games, though. A (69,5,5,3) type covering to guarantee a 3-match on Powerball's white
Jul 18, 2026, 11:19 am - NumberCruncher2 - Mathematics Forum

Sum-range distribution across PB / MM / new MFL game — comparing the curves
Been running sum-of-balls distributions across the three big multi-state games and the MFL one's interesting because the 1 58 pool gives a different center of mass than Powerball's 1 69 or Mega's 1 70. Rough centers I'm seeing: Powerball (5 of 1 69): sums cluster ~175 Mega Millions (5 of 1 70): ~178 Millionaire for Life (5 of 1 58): ~147 For anyone who plays sum ranges as a filter, MFL's lower ceiling tightens the useful band a fair bit. Anyone else mapping this? Wondering if the sm
Jun 21, 2026, 7:42 pm - NumberCruncher2 - Mathematics Forum

Data Analyst looking for a Syndicate Partner (Monte Carlo Simulations for AU Saturday Lotto) &#12820Reply
Hi Ibrahim, I am interested but have some questions: I can only play New York powerball out of all games because it is $2.00. Does this work for you? Also, I am not sure how to reach you when it comes to splitting the prize? Thank you, comped
Apr 13, 2026, 10:50 am - comped - Mathematics Forum