Yes, Omega can be run on the 3DS. You only need either a 3DS with a custom firmware (with the homebrew channel installed) or an entry exploit (soundhax, ninjhax, etc... See here for more details).

My first goal with that thing was to make it exam-mode compliant (at least in France) and go pass the math test of the Baccalauréat (high school graduation in France) with it. Sadly, due to Covid-19, I couldn't. This is why it's not compliant (doesn't save exam mode state in the flash of the 3DS, doesn't build as a CIA replacing the home menu, etc.)

Here is my small contribution to this topic: NumlWorks Walrii

Hope you like it ^^

One thing to be sure is that due to the open-source nature of Epsilon, Numworks won't try to shut it down (like TI does with almost every custom firmware).

Omega for Numworks

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Ce tutoriel est aussi disponible en Français sur tiplanet.

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A simplified installer is available here. It installs Omega in one click, while keeping your python scripts!

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I – Getting your model ID

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Warning: It's important to know you Numworks' model ID. A N0100 firmware won't work on the N0110, and vice versa.

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There is currently two Numworks models: N0100 and N0110. The model ID of your Numworks should be written on the back. If it isn't present, you may go in Settings > About and look for FCC ID. This line contains your model ID (either N0100 or N0110).

II – Installing from sources

Installing the SDK :
First, you need to install the tools needed for the compilation, by following Numworks' installation guide.

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• If you are using a linux distribution based on Archlinux (like Manjaro), you can install the SDK with
  Code (bash) Select Expand
  sudo pacman -Syu
sudo pacman -S git base-devel imagemagick libx11 libxext libfreetype6 libpng libjpeg pkgconfYou'll then need to install the ARM toolchain.
• Also for Archlinux-based distributions users, two AUR packages were created by Yuki to automate installing the simulator : numworks-omega and numworks-omega-git, installig the latest stable version and the latest development version, repsectively.
• In the following commands, you can add OMEGA_USERNAME="Your name" to have your name in the firmware. The name must be shorter than 16 caracters. This name will show up in Settings > About > Name.
  
• The -j8 argument can be replaced by a higher number to speed up compilation. The recommended number is 2 * Number of CPU cores + 2.

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You can now start compiling Omega.

For the N0100 :
Start by downloading the sources :
git clone --recursive https://github.com/Omega-Numworks/Omega.git -b omega-master
cd Omega
You can now compile the firmware :
make MODEL=n0100 clean
make MODEL=n0100 -j8
You can now plug your calculator to your pc and install Omega :
make MODEL=n0100 epsilon_flash

For the N0110 :
Start by downloading the sources :
git clone --recursive https://github.com/Omega-Numworks/Omega.git -b omega-master
cd Omega
You can now compile the firmware :
make MODEL=n0110 clean
make MODEL=n0110 -j8
You can now plug your calculator to your pc and install Omega :
make MODEL=n0110 epsilon_flash