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World's Best Lower Bounds Lotto Covers or Wheels

Printed From: LottoPoster.com
Category: WORLD RECORD LOTTO COVERS (WHEELS WITH GUARANTEE)
Forum Name: Reference Tables for Cover Upper Bounds & Merges
Forum Discription: Reference table for the upper bounds ie least number of lines for various prize levels for various Pools without regard to their merits to be played in Lotto and also tables for Merge Covers
URL: http://www.lottoposter.com/forum_posts.asp?TID=559
Printed Date: July 18 2019 at 10:53pm


Topic: World's Best Lower Bounds Lotto Covers or Wheels
Posted By: Colin F
Subject: World's Best Lower Bounds Lotto Covers or Wheels
Date Posted: September 20 2007 at 8:29pm

The following mathematical Cover lower bounds are given for reference purposes only and not as a recommendation to be played in Lotto.

As an example in the first table for Pick 6 Lotto games from the column heading 3if6 and for Pool 25 a match-3 prize is guaranteed when the 22 line Cover is played. In other words all the 177,100 combinations of 6 integers from a Pool of 25 are covered by the 22 lines such that at least one match-3 is guaranteed.

For the column 3if3 for the same Pool of 25 a match-3 prize is guaranteed as all the 2,300 CombThrees are covered by the 130 lines played.

Whether playing these covers for a Pick 6, Pool 25 Lotto game is the best approach is discussed for the West Virginia Cash 25 game http://lottoposter.com/forum_posts.asp?TID=586 - here

The bounds in red are Steiner Systems which cannot be further compacted.
Beyond Pool 30 for a Pick 6 Lotto game see http://LottoPoster.com/forum_posts.asp?TID=608 - merged mathematical covers.

Covers or Wheels with Guarantee for Pick 6 Lotto
with World's Lowest Bounds
Pool3if63if53if43if34if64if54if45if65if5
7111411516
81134137412
912373312730
102241037201450
11225115103222100
12226156144138
132592110216661
1445112514318098
154714311941


165816382554


1761120443466



1871224484281


19915306054



201018357166



211321407780



2215224677




23172654104




24203061116




25223468130




26253976130




27274586167




28314997185




293555108217




303961119225





Covers or Wheels with Guarantee for Pick 5 Lotto
with World's Lowest Bounds
Pool2if52if42if32if23if53if43if34if54if4
6111311415
7112313539
81224238520
922252512930
10222627171451
11224759202266
1223496122935113
13335108163448
1433612101943
69
153371313245695
16358151431
65132
1745916183768

18461018224394

194711192652108

204812213261


216913213772


2261014274083


2371116284995


24812173054107


25913183063



261014203768



271115213877



281216234086



291317244397



3014182648102



Colin Fairbrother




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