# Grok-3 mini vs Llama 13b

> Grok-3 mini is the stronger model overall, scoring 41.0 to 23.9 on the Noometry Index.

- Canonical page: https://noometry.com/compare/grok-3-mini-vs-llama-13b
- Last updated: 2026-10-10
- Shared benchmarks: 9

## Summary

- They share 9 benchmarks with published results for both. Grok-3 mini scores higher in 6 categories and Llama 13b in 0 categories; 5 gaps are clear of the uncertainty.
- The widest gap is in instruction following, where Grok-3 mini leads 78.7 to 36.9.
- Llama 13b has downloadable open weights; the other is API-only.

## Snapshot

| | Grok-3 mini | Llama 13b |
|---|---|---|
| Provider | xAI | Meta |
| Noometry Index | 41.0 | 23.9 |
| Rank | 130 | 344 |
| Context | — | — |
| Input $/M | — | — |
| Output $/M | — | — |
| Weights | Proprietary | Open |

## Coding

- Grok-3 mini: 40.4 (#126)
- Llama 13b: 20.9 (#332)

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| LMArena Coding | 1380 | 683 |
| Aider Polyglot | 49.3% | — |
| WeirdML | 42.6% | — |

## Reasoning

- Grok-3 mini: 13.8 (#323)
- Llama 13b: 13.4 (#327)

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| LMArena Hard Prompts | 1374 | 728 |
| Epoch Capabilities Index | 140.35 | 100.09 |
| ARC-AGI-2 | 0.4% | — |
| Kagi LLM Benchmark | 61.3% | — |
| ARC-AGI-1 | 16.5% | — |
| BIG-Bench Hard | — | 37.9% |
| HellaSwag | — | 79.2% |
| LAMBADA | — | 75.2% |
| PIQA | — | 80.1% |
| WinoGrande | — | 73% |

## Math

- Grok-3 mini: 40.3 (#78)
- Llama 13b: 24.4 (#259)

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| LMArena Math | 1386 | 838 |
| OTIS Mock AIME 2024-2025 | 77.8% | — |
| Omni-MATH | 31.8% | — |
| MATH Level 5 | 90.9% | — |
| FrontierMath (Feb 2025 set) | 5.9% | — |
| GSM8K | — | 20.6% |

## Knowledge

- Grok-3 mini: 46.3 (#75)
- Llama 13b: —

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| GPQA Diamond | 76.3% | — |
| MMLU-Pro | 79.9% | — |
| Confabulations | 10.8% | — |
| GPQA (HELM) | 67.5% | — |
| LMArena Expert | 1395 | — |
| ARC (AI2) Challenge | — | 52.7% |
| BoolQ | — | 78.7% |
| MMLU | — | 47.7% |
| OpenBookQA | — | 56.4% |
| TriviaQA | — | 77.9% |

## Multimodal

- Grok-3 mini: —
- Llama 13b: —

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| ScienceQA | — | 43.3% |

## Multilingual

- Grok-3 mini: 48.3 (#141)
- Llama 13b: 16.8 (#292)

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| LMArena Non-English | 1352 | 819 |
| LMArena Chinese | 1387 | — |
| LMArena French | 1357 | — |
| LMArena German | 1350 | — |
| LMArena Japanese | 1343 | — |
| LMArena Korean | 1336 | — |
| LMArena Russian | 1352 | — |
| LMArena Spanish | 1379 | — |

## Instruction Following

- Grok-3 mini: 78.7 (#8)
- Llama 13b: 36.9 (#300)

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| LMArena Instruction Following | 1356 | 781 |
| IFEval | 95.1% | — |

## Long Context

- Grok-3 mini: 41.0 (#142)
- Llama 13b: —

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| Fiction.LiveBench | 66.7% | — |
| LMArena Longer Query | 1372 | — |

## Writing & Preference

- Grok-3 mini: 52.7 (#163)
- Llama 13b: 13.9 (#307)

| Benchmark | Grok-3 mini | Llama 13b |
|---|---|---|
| LMArena Text | 1370 | 834 |
| LMArena Creative Writing | 1342 | 794 |
| LMArena Multi-Turn | 1355 | 753 |
| Short-Story Creative Writing | 73.5% | — |
| WildBench | 65.1% | — |

## FAQ

### Is Grok-3 mini better than Llama 13b?

Grok-3 mini is the stronger model overall, scoring 41.0 to 23.9 on the Noometry Index.

### Is Grok-3 mini or Llama 13b better for coding?

Grok-3 mini scores higher on coding benchmarks: 40.4 versus 20.9 in the Noometry coding category.

### How many benchmarks do Grok-3 mini and Llama 13b share?

9 benchmarks have published results for both models. Grok-3 mini has 35 scored results on Noometry and Llama 13b has 21.