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Can I run Qwen2.5-Coder-7B-Instruct on an RTX 3090?

Yes

Its published weights (15.2 GB) fit in the 21.6 GB an RTX 3090 can use, with room for ≈ 32K tokens of context.

Full analysis of Qwen2.5-Coder-7B-Instruct Everything that runs on RTX 3090 Get the weights on Hugging Face
hf download Qwen/Qwen2.5-Coder-7B-Instruct

Files and context on RTX 3090

Each file of Qwen2.5-Coder-7B-Instruct (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn RTX 3090 Context (16-bit)Context (8-bit)
As published15.2 GBFits32K32K
4-bit (estimate)4.28 GBFits32K32K

Qwen2.5-Coder-7B-Instruct on other hardware

Popular models that run on RTX 3090

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.