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13700k VS 5800x3d on DDR4, worth the price difference?

The 13700K gives the 5800X3D an absolute spanking overall, so this is not even a contest. Plus if you keep it for a long time the better CPU makes even more sense. Paying 33€ more a year is nothing by comparison. Though you did not mention what you will actually use it for so we're just left throwing darts in the dark based on our biases.

On the other hand I'm not sure why you wouldn't go AM5 and then 5 years or so in you will be able to drop a 9950X3D or whatever's end-game on AM5 then and you'll have a much stronger system & won't need to re-buy RAM & Mobo, or fiddle with the build as much.
 
The 13700K gives the 5800X3D an absolute spanking overall, so this is not even a contest. Plus if you keep it for a long time the better CPU makes even more sense. Paying 33€ more a year is nothing by comparison. Though you did not mention what you will actually use it for so we're just left throwing darts in the dark based on our biases.

On the other hand I'm not sure why you wouldn't go AM5 and then 5 years or so in you will be able to drop a 9950X3D or whatever's end-game on AM5 then and you'll have a much stronger system & won't need to re-buy RAM & Mobo, or fiddle with the build as much.
I didn't specify because I wanted a full spectrum of answers, biases included. Saying 90% gaming 10% machine learning isn't going to be more helpful anyway.
As for the other part of your post... Even though I'm a very long term PC users and I'm comfortable with upgrading components I'm not keen on replacing CPUs as I'm clumsy and the risk of bending pins is a strong disincentive to me, plus by the time the CPU will truly hold everything back (meaning <60 fps in games) it's usually time to upgrade everything.

My 10 year old 3770k doesn't feel slow (but then I'm not playing cutting edge either!) and to give you specifics this is what I'm likely to play in the next 2 years along with some gamepass stuff: https://www.gog.com/en/u/Zarax999/wishlist

In 5 years I might be adding Cyberpunk 2077 to that list (when they will stop updating it and price will drop to 10€ on sale) but the most CPU demanding title I could imagine would be an hypothetical Cities: Skylines 2.
I doubt there are benchmarks for classical machine learning workflows (like the CRAN Random Forest package) but given my current PC I'm sure I'd see an uplift either way :D

My personal bias is: I used exclusively Intel since 1988, I'm curious about the Zen 3D platform but I'm scared about potential issues, hence a very late series seemed enticing (by now drivers and BIOS are very well tested), especially at -10% platform cost. Current gen AMD seems too costly for my taste although I'm not thrilled by Intel mixed cores either (wasted opportunity IMHO, they could have made some truly specialized heterogeneous architecture!) so in a bit of a stump.
 
I doubt there are benchmarks for classical machine learning workflows (like the CRAN Random Forest package) but given my current PC I'm sure I'd see an uplift either way :D

Phoronix (13600K review) and TPU (13700K review) have quite a variety of benchmarks in their reviews, but whether any of them are directly relevant for you, I have no idea.
 
Phoronix (13600K review) and TPU (13700K review) have quite a variety of benchmarks in their reviews, but whether any of them are directly relevant for you, I have no idea.
Thanks but unfortunately they took all examples of neural networks (which BTW are better devoted to a GPU).
Those took all the media hype in the recent years but businesses tend to rely on different algorithms for their use cases and TBH who runs that stuff is usually not interested in benchmarks, especially as it would require a large enough public dataset to train on (the Titanic one is too small to appreciate measurable differences).
 
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