Playing Prime Numbers ONLY In The (UK) Lotto.

[PAB]

My friend asked me an interesting question this afternoon.
He asked that if you ONLY did Prime Numbers for ALL the draws would you have won the Jackpot.
Well, I set about to find out, and here are my findings.

There are C(15,6) = 5,005 Combinations of Prime Numbers for a 649 Lotto.

I ran ALL 5,005 combinations of Prime Numbers against ALL the UK Lotto draws upto and including Draw 1,785, which was Wednesday the 30th of January 2013, and here are the results:-

Matched Summary
0 Numbers = 3,942,921
1 Number = 3,640,144
2 Numbers = 1,181,330
3 Numbers = 160,560
4 Numbers = 8,820
5 Numbers = 146
5+ Numbers = 4
6 Numbers = 0
Equivalent Draws Processed = 8,933,925

You will see that the Jackpot was NOT won.
The closest was FOUR MATCH 5+ THE BONUS NUMBER.

The combinations for these FOUR are:-

LEGEND
M0 = Matched 0
M1 = Matched 1
M2 = Matched 2
M3 = Matched 3
M4 = Matched 4
M5 = Matched 5
M5+ = Matched 5 + The Bonus Number
M6 = Matched 6

02 03 17 23 31 43 : M0 = 765 : M1 = 724 : M2 = 259 : M3 = 34 : M4 = 2 : M5 = 0 : M5+ = 1 : M6 = 0 : Total Draws = 1,785

05 11 17 19 23 47 : M0 = 757 : M1 = 758 : M2 = 231 : M3 = 35 : M4 = 3 : M5 = 0 : M5+ = 1 : M6 = 0 : Total Draws = 1,785

05 13 19 31 37 47 : M0 = 794 : M1 = 744 : M2 = 214 : M3 = 29 : M4 = 3 : M5 = 0 : M5+ = 1 : M6 = 0 : Total Draws = 1,785

07 13 23 31 43 47 : M0 = 768 : M1 = 727 : M2 = 259 : M3 = 29 : M4 = 1 : M5 = 0 : M5+ = 1 : M6 = 0 : Total Draws = 1,785

I just thought that I would share this with you.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[Frank]

Thanks for sharing that with us PAB, its fun to check out special sequences like that. I just did a quick calculation from your results and I make it that 1.9% would have won a prize, which is around the 1 in 52.7 they quote for the odds of winning any prize. So not so special after all !

On the subject of prime numbers I see they have discovered a new prime number with 17 million digits!

http://www.dailymail.co.uk/sciencetech/article-2274505/Biggest-prime-number-At-17-MILLION-digits-year-write-hand.html

If anyone is up for it, they are offering $150,000 to the person who finds the first 100 million digit prime. I think I'll pass on that one.

 

[jack]

Hello frank, but the lottery being random, any other 15 numbers, randomly chosen has the same probability, example if I choose 15 numbers
Odd or 15 pairs, is equal to choose 15 mixed numbers (and odd pairs)
The gora in 4 groups sorting first pp. ii IP ip, always a group will have zero or a number, this standard is 100% if you play two numbers in this group is going to make mistakes, you can shuffle the 4 groups as you want to the default is 100% of a group having zero or a number

 

[Frank]

Jack, theres no need to complicate the discussion. Quite simply, any number or any combination of numbers has the same probability of appearing as any other number or combination of numbers.

 

[PAB]

Frank,

Thanks for sharing that with us PAB, its fun to check out special sequences like that. I just did a quick calculation from your results and I make it that 1.9% would have won a prize, which is around the 1 in 52.7 they quote for the odds of winning any prize. So not so special after all !

Interesting information as usual Frank, thanks.

On the subject of prime numbers I see they have discovered a new prime number with 17 million digits!

http://www.dailymail.co.uk/sciencetech/article-2274505/Biggest-prime-number-At-17-MILLION-digits-year-write-hand.html

If anyone is up for it, they are offering $150,000 to the person who finds the first 100 million digit prime. I think I'll pass on that one.

I think I will give this one a miss as I don't have a SUPER computer which I think is what is needed to achieve this.

Jack,

You missed the point of my initial post completely, it was an exercise that I did to answer a friends question and thought I would post the results for Forum members, that's it. The fact that you said that this applies to ANY 15 numbers is obvious to ANY Lotto player, that is a given.
I see that you have tried to include your usual banter on using Pairs or 4 Groups which you seem to throw out at every opportunity on every other thread that you can, usually when it is NOT relevant and has nothing to do with the topic in hand.
Frank summed it up nicely when he said:-

Jack, theres no need to complicate the discussion. Quite simply, any number or any combination of numbers has the same probability of appearing as any other number or combination of numbers.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[jack]

Hello, frank and pab I agree, just introduced the pattern of 4 groups is 100% in the next infinity sweepstakes
A 6/49 Lotto a group of 12 numbers will be out, always at 100%, I was seeing the fibonacci numbers, but it is the same thing of cousins