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I found some related question but no real explanation of what it is and when and why to use it. What are the benefits and downsides and is it recommended?

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Multi-prime RSA is simply using more than 2 prime numbers in generating RSA public key - The public modulus would have more than 2 factors.

We use it because it has more efficient key-generation and decryption/signing operation, which is the benefit of it.

The downside being it might be easier to factor a multi-prime RSA public key than a dual-prime one.

It's neither recommended or recommended against, it's simply an possible option without any endorsement.

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    $\begingroup$ note that the primes must be distinct. $\endgroup$ – kelalaka Feb 4 at 8:51

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