Quite a few lottery results include at least one pairing of consecutive numbers. This scenario can surprise some players who have often excluded such results in their combinations.
The last three weeks of NZ Lotto give us an example of this pattern; in each line there is one pair of consecutive numbers.
Analysing The Probability Of Consecutive Numbers
The first thing we notice is that there is only one group per winning line, which gives us an indication of the probability of consecutive numbers occurring.
By definition, each pairing will include one odd and one even number. But if we look at our small sample each set includes a prime as the odd number which aids our research significantly. Let's look at why primes figure prominently in consecutive number pairings.
Prime Numbers And Consecutive Lotto Groupings
Because there is a limited number of primes in each game we can predict how they will figure in any sequential number groups.
Primes between 1 and 40: 12
The percentage of primes in a 40 ball game is around 30% and so in any 6 ball draw we can assume on average 2 primes will be drawn.
Because we know consecutive patterns must include odd numbers, it follows that two third of these groupings will involve a prime number.
Using The Consecutive Pattern Information To Reduce Your Lottery Investment Size
With the knowledge that prime numbers will dominate sequential patterns we can use that information to exclude any lines with consecutive numbers that don't contain primes.
By including these prime number patterns this enables us to leave out other number groups. For example if we decide on a prime to use as a consecutive then we might omit other primes in close proximity.
An additional option might be to look at "hot primes". I noticed in the NZ Lotto sample that each prime number in the pattern was a different one so we can omit consecutive pairs that include primes that have recently been in a winning line.
This article has introduced the concept of consecutive numbers in lotto results. It concluded that the majority of these patterns will include prime numbers. This leaves plenty of scope for further research with a goal of reducing the total combination size of lotto selections.