Products of numbers in 5/39 combos (Fantasy Five)

Reply #12

cottoneyedjoe — Fri, 29 Jan 2021 03:37:10 GMT

That's really neat. It makes sense that the ratio generally tends to decrease as N increases since the density of primes decreases, and that it has little spikes when N hits a prime.

Reply #11

db101 — Wed, 27 Jan 2021 01:01:46 GMT

Sweet chart Mr-B. Thanks for posting that.

Reply #10

Mr-B 216 — Tue, 26 Jan 2021 14:55:52 GMT

Game = 5/n game

N Combos = 5 number combos available

P Combos = product combos available

P/N = percentage of P Combos to N Combos

One Way = number of products that are only possible using one 5 number combo

Way/P = percentage of One Way Combos to P Combos

Game N Combos P Combos P/N One Way Way/ P Combos

5/30 142506 17232 12.09% 4526 26.27%

5/31 169911 23217 13.66% 6551 28.22%

5/32 201376 25097 12.46% 6728 26.81%

5/33 237336 27623 11.64% 7226 26.16

Reply #9

db101 — Mon, 25 Jan 2021 19:11:43 GMT

I'm curious about the fact that the number of unique products is about 1/10 of the number of combinations. Is that true for any 5/N game

Reply #8

cottoneyedjoe — Sun, 24 Jan 2021 05:51:13 GMT

The 5-number product analysis a bit unwieldy for me due to their being ~55,000 of them, so I've also looked at sums of pair-wise products (SPWPs). There are only 11,098 distinct SPWPs, a slight improvement. Of all the 5/39 combinations it turns out that

roughly 1/3 have a SPWP between 85 and 2910 roughly 1/3 have a SPWP between 2911 and 4603 roughly 1/3 have a SPWP between 4604 and 13685

Maybe there's another way of looking at products that results in a more manageable set.

Reply #7

Mr-B 216 — Sat, 23 Jan 2021 23:06:14 GMT

Thanks for bringing this up Joe. Here are the top 36 products for OH 5/39 game. Looks like in hindsight, I only needed to play product 523600's 34 combos each day to achieve a jackpot, (or 4) since 2004.

Reply #6

AllenB — Sat, 23 Jan 2021 18:23:39 GMT

I appreciate the offer, but, I already have a File that can produce the products and sort the combinations.

I got the boys back on the current project so it's on the round tuit shelf right now.

Have you tracked any thing or is this new to you

Reply #5

cottoneyedjoe — Fri, 22 Jan 2021 23:17:13 GMT

You showed up in the nick of time. My lizard has been eyeing those crickets. Fantasy Five has had some sweet double rollovers this month, but on days when I wasn't out and about to get tickets.

If you want a text file with all the F5 products and their respective counts, let me know and I will see how to link it somewhere for you to download.

Reply #4

AllenB — Fri, 22 Jan 2021 21:49:45 GMT

Dang it Joe.

I had the crew working on a Pick 3 Tool and now they are mumbling about putting the big Lexi File on and getting all of the products.

Some are already guessing that there will be a Lexi Number connection and maybe a pattern with the 5th Perfection Score.

I'm calling the shop union rep. These guys work for me, Right

Reply #3

AllenB — Fri, 22 Jan 2021 21:38:13 GMT

All of a sudden there is a lot of chirping coming from the break room.

Some of the boys want to see a historical graph showing the Product divided by 55 (groups of 1000).

The surfing dude is always looking for waves.

Reply #2

cottoneyedjoe — Fri, 22 Jan 2021 20:59:02 GMT

13916 of them. About 25.2%.

Reply #1

db101 — Fri, 22 Jan 2021 19:05:06 GMT

Wrapping my head around it...looks interesting. How many of those products can only be made one way

Products of numbers in 5/39 combos (Fantasy Five)

cottoneyedjoe — Thu, 21 Jan 2021 03:58:21 GMT

I was looking at products of the numbers in CA Fantasy Five combinations. (For example, the combo 2-3-11-13-25 has a product of 21450.) This is probably of interest only to me and a few of AllenB's crickets. I present Five Fun Facts about Fantasy Five Products:

(1) Although there are 575757 different combinations in a 5/39 game, there are only 55183 distinct products of the five numbers.

(2) The minimum product is 120 (only achieved with the combination 1-2-3-4-5) and the maximum product i... [ More ]