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Gemma 3 4B vs Hermes 4 405B

Hermes 4 405B leads Gemma 3 4B on the Artificial Analysis Intelligence Index, 7.5 to 4.8, and Gemma 3 4B costs 40.0x less per output token ($0.075 vs $3.00 per million). Updated October 22, 2026; 2 benchmarks have a result for both.

Gemma 3 4BGoogle
Coding
No data
Overall
22.6
Output $/M
$0.075
0
N Hermes 4 405BNous Research
Coding
No data
Overall
No data
Output $/M
$3.00
2
vs boards won of 2 shared

Gemma 3 4B or Hermes 4 405B: which to pick

Neither model has a coding score yet, so the two cannot be ranked on coding.

Pick Gemma 3 4B for output tokens 40.0x cheaper ($0.075 vs $3.00 per million) and work measured by AA Intelligence Index or Kagi LLM Benchmark, where it leads.

Shared results
2
Gemma 3 4B only
40
Hermes 4 405B only
0
Like-for-like categories
2 of 9

Only benchmarks that tested both models count toward a pick; a result only one model has is shown but not compared.

Which one for your work

Each card is decided by one number both models carry. Where only one has it, the card says so and makes no call.

At a glance

Coding index
Gemma 3 4B not benchmarked, Hermes 4 405B not benchmarked.
Widest category
Reasoning, 30.6 points apart on average over 1 shared benchmark.
Widest single gap
Kagi LLM Benchmark: Gemma 3 4B 25.2% against Hermes 4 405B 55.8%, 30.6 points apart on a 0 to 100 scale.
Output price
Gemma 3 4B $0.075 against Hermes 4 405B $3.00 per million output tokens, 40.0x apart.
Context window
Both take 131K tokens.

Benchmark by benchmark

First the score: boards each model leads, per category, where both have a result. Then every board, a category to a fold; bars are each result on a 0 to 100 scale, so compare the two in a row, not one row with another.

Boards won, where both have a result
CategoryGemma 3 4BBarsHermes 4 405BTies
Intelligence01
Reasoning01
All shared boards02
CodingDirectional onlySix of these boards feed the Vibe Coding Index6 boards, none shared
Coding benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
AA Coding Index2.7Not measuredOnly Gemma 3 4B measured
LiveCodeBench (Artificial Analysis run)11.2%Not measuredOnly Gemma 3 4B measured
Terminal-Bench Hard (Artificial Analysis run)0.8%Not measuredOnly Gemma 3 4B measured
LMArena Text: coding1230Not measuredOnly Gemma 3 4B measured
LMArena Text: software and IT1269Not measuredOnly Gemma 3 4B measured
SciCode0.0%Not measuredOnly Gemma 3 4B measured
Neither model has a result on the other 33 boards here
IntelligenceLike-for-likePublic boards, shown as published, kept out of the index01
Intelligence benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
AA Intelligence Index4.87.5Hermes 4 405B
Epoch Capabilities Index115.9Not measuredOnly Gemma 3 4B measured
Agentic workDirectional onlyPublic boards, shown as published, kept out of the index2 boards, none shared
Agentic work benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
τ²-Bench Telecom5.0%Not measuredOnly Gemma 3 4B measured
Berkeley Function Calling Leaderboard (BFCL)19.6%Not measuredOnly Gemma 3 4B measured
Neither model has a result on the other 39 boards here
ReasoningLike-for-likePublic boards, shown as published, kept out of the index01
Reasoning benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
GPQA Diamond (Artificial Analysis run)29.1%Not measuredOnly Gemma 3 4B measured
Humanity's Last Exam (Artificial Analysis run)5.3%Not measuredOnly Gemma 3 4B measured
GPQA Diamond (Epoch AI run)23.2%Not measuredOnly Gemma 3 4B measured
LMArena Text: hard prompts1253Not measuredOnly Gemma 3 4B measured
LMArena Text: expert1223Not measuredOnly Gemma 3 4B measured
LMArena Text: hard prompts in English1253Not measuredOnly Gemma 3 4B measured
Kagi LLM Benchmark25.2%55.8%Hermes 4 405B
Neither model has a result on the other 15 boards here
MathDirectional onlyPublic boards, shown as published, kept out of the index5 boards, none shared
Math benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
AA Math Index12.7Not measuredOnly Gemma 3 4B measured
AIME 2025 (Artificial Analysis run)12.7%Not measuredOnly Gemma 3 4B measured
OTIS Mock AIME7.5%Not measuredOnly Gemma 3 4B measured
LMArena Text: math1239Not measuredOnly Gemma 3 4B measured
LMArena Text: mathematical work1256Not measuredOnly Gemma 3 4B measured
Neither model has a result on the other 8 boards here
KnowledgeDirectional onlyPublic boards, shown as published, kept out of the index5 boards, none shared
Knowledge benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
MMLU Pro (Artificial Analysis run)41.7%Not measuredOnly Gemma 3 4B measured
LMArena Text: science1306Not measuredOnly Gemma 3 4B measured
LMArena Text: medicine and healthcare1342Not measuredOnly Gemma 3 4B measured
LMArena Text: legal and government1327Not measuredOnly Gemma 3 4B measured
LMArena Text: business and finance1311Not measuredOnly Gemma 3 4B measured
Neither model has a result on the other 13 boards here
Web designNot comparablePublic boards, shown as published, kept out of the index0 boards, none shared
Web design benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
Neither model has a result on 9 boards here
GeneralDirectional onlyPublic boards, shown as published, kept out of the index15 boards, none shared
General benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
IFBench28.3%Not measuredOnly Gemma 3 4B measured
Long context reasoning (AA-LCR)6.7%Not measuredOnly Gemma 3 4B measured
DTBench50.9%Not measuredOnly Gemma 3 4B measured
LMCA2.8%Not measuredOnly Gemma 3 4B measured
LMArena Text1291Not measuredOnly Gemma 3 4B measured
LMArena Text: instruction following1239Not measuredOnly Gemma 3 4B measured
LMArena Text: creative writing1270Not measuredOnly Gemma 3 4B measured
LMArena Text: English1300Not measuredOnly Gemma 3 4B measured
LMArena Text: non-English1273Not measuredOnly Gemma 3 4B measured
LMArena Text: German1281Not measuredOnly Gemma 3 4B measured
LMArena Text: Russian1294Not measuredOnly Gemma 3 4B measured
LMArena Text: multi-turn1255Not measuredOnly Gemma 3 4B measured
LMArena Text: longer queries1273Not measuredOnly Gemma 3 4B measured
LMArena Text: writing and language1288Not measuredOnly Gemma 3 4B measured
LMArena Text: entertainment and media1233Not measuredOnly Gemma 3 4B measured
Neither model has a result on the other 31 boards here
Image generationNot comparablePublic boards, shown as published, kept out of the index0 boards, none shared
Image generation benchmarks for Gemma 3 4B and Hermes 4 405B
BenchmarkGemma 3 4BHermes 4 405BLeader
Neither model has a result on 5 boards here

What each workload costs

Three fixed token mixes at each model's listed price, so per-token rates become a bill.

Chat turn

1K input + 500 output tokens

Gemma 3 4B$0.0001Fits in one request
Hermes 4 405B$0.0025Fits in one request

Gemma 3 4B costs less

Repository review

50K input + 3K output tokens

Gemma 3 4B$0.0025Fits in one request
Hermes 4 405B$0.059Fits in one request

Gemma 3 4B costs less

Agent loop

200K input + 10K output tokens

Gemma 3 4B$0.0097Exceeds the context window
Hermes 4 405B$0.230Exceeds the context window

Gemma 3 4B costs less

Listed OpenRouter rates, without cache or batch discounts. A workload that does not fit a model's context window would need splitting.

Specification differences

The leading value in a row is marked; a row with a missing value names no leader. Our two rows are marked in red.

Specifications of Gemma 3 4B and Hermes 4 405B
SpecificationGoogle Gemma 3 4BNous Hermes 4 405B
MakerGoogleNous Research
WeightsOpen weightsOpen weights
ReleasedMarch 13, 2025August 26, 2025
Context window131K131K
Input $/Mtok$0.045$1.00
Output $/Mtok$0.075$3.00
Coding indexNot benchmarkedNot benchmarked
Independent measurements behind it00
Cost per solved taskNot computableNot computable
SourceOpenRouter listingOpenRouter listing

Questions

Is Gemma 3 4B better than Hermes 4 405B for coding?

Neither model has a coding score yet, so the two cannot be ranked on coding. Pick Gemma 3 4B for output tokens 40.0x cheaper ($0.075 vs $3.00 per million) and work measured by AA Intelligence Index or Kagi LLM Benchmark, where it leads.

Which is cheaper, Gemma 3 4B or Hermes 4 405B?

Gemma 3 4B costs $0.045 per million input tokens and $0.075 per million output tokens; Hermes 4 405B costs $1.00 and $3.00. Cost per solved task is known for neither of them.

Which has the bigger context window, Gemma 3 4B or Hermes 4 405B?

Neither: both take 131K tokens.

How many benchmarks is the Gemma 3 4B vs Hermes 4 405B comparison based on?

2 benchmarks have a result for both models as of October 22, 2026. Gemma 3 4B's coding index rests on 0 independent benchmarks and Hermes 4 405B's on 0. Where only one model has a result, the page says so instead of naming a winner.

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