Los Angeles County District Attorney Nathan Hochman isn't answering questions about the D4vd case and the Celeste Rivas death investigation, this after nearly 2 months without an arrest.

Our photog asked Nathan for an update on the case Wednesday at a press conference about an unrelated case ... and all Hochman could muster up was that it's an active investigation -- even though everyone from coast to coast is fascinated with the D4vd/Celeste probe.

The county's top prosecutor also wouldn't get into possible suspects -- and he ignored the elephant in the room -- D4vd -- when our photog brought up the singer by name.

It's been nearly 6 weeks since Celeste's body was found in D4vd's impounded Tesla, and there haven't been a whole lot of answers or updates from law enforcement

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