Can an RTX 4060 Laptop run Llama 3.1 8B Instruct?

Yes

Yes. At Q5_K_M it needs 7.17 GB of the 7.2 GB available and generates around 33.2 tokens per second at an 8k context window.

The numbers

Llama 3.1 8B Instruct has 8.03 billion parameters across 32 layers. The GeForce RTX 4060 Laptop has 8 GB of VRAM at 256 GB/s, of which about 7.2 GB is left for a model once the operating system has taken its share.

QuantisationTotal neededFitsSpeed
Q8_0 9.8 GB no
Q6_K 7.98 GB no
Q5_K_M 7.17 GB yes 33.2 t/s
Q4_K_M 6.37 GB yes 38.1 t/s
IQ4_XS 5.82 GB yes 42.2 t/s
Q3_K_M 5.51 GB yes 45.1 t/s
IQ3_XXS degraded 4.71 GB yes 54.4 t/s
Q2_K degraded 4.98 GB yes 50.8 t/s
IQ2_XXS degraded 3.78 GB yes 71.7 t/s

7 of the 9 levels fit. Levels marked degraded are listed for completeness, not as advice.

How long a conversation it holds

At Q5_K_M, memory rises with the length of the conversation because the attention cache keeps a key and value for every token. The longest window that still fits on this device is 8k tokens.

ContextCacheTotalFits
4k 0.5 GB 6.55 GB yes
8k 1 GB 7.17 GB yes
16k 2 GB 8.42 GB no
32k 4 GB 10.92 GB no
64k 8 GB 15.92 GB no
128k 16 GB 25.92 GB no

See how fast it feels

GeForce RTX 4060 Laptop running Llama 3.1 8B Instruct at Q5_K_M

Wait for the first word328 ms
Then writes at33.2 tok/s
Whole answer5.5 s

YouWhy does my model use more memory when the conversation gets longer?

Model

Because of the KV cache. Every token you send leaves behind a key and a value vector in each layer of the model, and those stay in memory for as long as the conversation lasts.

The weights are a fixed cost: load a 4-bit 8B model and that is about 4.8 GB, whether you write one word or ten thousand. The cache is the part that grows, and it grows in a straight line with the number of tokens in the window.

How steeply depends on the model's attention design. With grouped-query attention, several query heads share one key-value pair, which cuts the cache by that ratio. Without it, every head keeps its own, and a long context can cost more memory than the weights themselves.

If you are short on memory, the first thing to try is lowering the context window in your runtime, not the quantisation.

Simulated from our estimate at a 512-token question, not a recording. Assumes nothing else is competing for the GPU. The same answer on RTX 4090 at Q8_0 would take about 1.9 s.

Keep going

Everything the GeForce RTX 4060 Laptop runs, the full breakdown for Llama 3.1 8B Instruct, or check a different pairing in the calculator.