Casino Game (Update 02/02/2022)
Driving foot traffic at a Casino requires activity and intensity. For a number to be a lot of fun to factor, it can take up to 12 hrs to run 6000 ECM curves on a 6 core computer running at 4.5 GHz.
Main problem: Casino Games run 15 minutes - 6000 curves can take up to 12 hrs on 6 cores at 4.5 GHz.
12
hrs is 43200 seconds * 6 cores is 259,200 core seconds. Divided by 6
computers * 6 cores each = 259,200 / 48 cores = 5400 seconds, or 90
minutes. Big improvement, but still not gambling.
It is mathematically trivial to distribute the processing among the computer cores, but as a programming problem, this would be a project in itself.
The game cannot be played as I first envisioned - a majority of numbers go to SIQS for a guaranteed solution. In experimentation, I have been able to observe the following.
It takes time to roll 5 (ten sided dice) 20 times and enter the number.
I compensate by rolling 5 dice again at substituting them at the end... how can this accommodate competitors gambling, or foot traffic?
House rolls the first 100 digits... if it factors the House loses. Gamblers roll 5 dice/digits, by turn?
This works if the game runs until a number goes to 6000 curves, and then the House goes again. This takes me between 10 and 30 tries, in practice.
Improved list of things to lay odds on in a Casino Game of Factorizing 100 digit numbers.
1. It factors completely, without ever going to SIQS. (not that common)
2. Largest significant factor is over/under:
15 digits
20 digits
30 digits
40 digits.
3. It factors BEFORE it gets to 300 curves, SIQS or NOT.
4. It doesn't factor in less than 6000 curves.
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