Can an RTX 5090 run Gemma 4 31B Instruct?

Yes

Yes. At Q6_K it needs 25.75 GB of the 31.2 GB available and generates around 59.2 tokens per second at an 8k context window.

The numbers

Gemma 4 31B Instruct has 31.27 billion parameters across 60 layers. The GeForce RTX 5090 has 32 GB of VRAM at 1792 GB/s, of which about 31.2 GB is left for a model once the operating system has taken its share.

QuantisationTotal neededFitsSpeed
Q8_0 32.81 GB no
Q6_K 25.75 GB yes 59.2 t/s
Q5_K_M 22.58 GB yes 67.9 t/s
Q4_K_M 19.45 GB yes 79.3 t/s
IQ4_XS 17.34 GB yes 89.6 t/s
Q3_K_M 16.1 GB yes 96.9 t/s
IQ3_XXS degraded 13.01 GB yes 121.7 t/s
Q2_K degraded 14.06 GB yes 111.9 t/s
IQ2_XXS degraded 9.37 GB yes 174.2 t/s

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

How long a conversation it holds

At Q6_K, 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 128k tokens.

ContextCacheTotalFits
4k 0.94 GB 25.58 GB yes
8k 0.94 GB 25.75 GB yes
16k 0.94 GB 26.08 GB yes
32k 0.94 GB 26.73 GB yes
64k 0.94 GB 28.04 GB yes
128k 0.94 GB 30.67 GB yes

See how fast it feels

GeForce RTX 5090 running Gemma 4 31B Instruct at Q6_K

Wait for the first word201 ms
Then writes at59.2 tok/s
Whole answer3.1 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 Q5_K_M would take about 4.8 s.

Keep going

Everything the GeForce RTX 5090 runs, the full breakdown for Gemma 4 31B Instruct, or check a different pairing in the calculator.