piq29_hard_prime_plus_position

Prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Gold / expected16Evaluatornormalized_exactTagsnumeric_sequence, hardMetadata

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Response contract

{
  "instruction": "Return only the final answer. Do not include explanation.",
  "mode": "short_answer"
}

Provenance

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ModalityNot specified

Wrong-answer distribution · literal raw responses

14 — 2 models13 — 1 modelT₅ = 15 — 1 model

Every model response

gpt-5.6 gpt-5.6 ✓ PASS 16

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule satisfied

Evaluation evidence

{
  "actual_normalized": "16",
  "expected_normalized": "16"
}

Latency

997.493259012117 ms

Usage

{
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  "completion_tokens_details": {
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    "audio_tokens": 0,
    "reasoning_tokens": 0,
    "rejected_prediction_tokens": 0
  },
  "prompt_tokens": 87,
  "prompt_tokens_details": {
    "audio_tokens": 0,
    "cache_write_tokens": 0,
    "cached_tokens": 0
  },
  "total_tokens": 91
}

Provider metadata

{
  "id": "chatcmpl-EH048ZZGngLnDA7bI48mD5jdr7sby",
  "model": "gpt-5.6-sol",
  "provider": "openai_compatible"
}

Model config

{
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  "base_url": "https://api.openai.com/v1",
  "device": null,
  "dtype": "auto",
  "extra_headers": {},
  "generation": {},
  "id": "gpt-5.6",
  "local_files_only": false,
  "max_new_tokens": 512,
  "model": "gpt-5.6",
  "quantization_method": null,
  "secret_env": "OPENAI_API_KEY",
  "supports_json_mode": false,
  "timeout": 120
}

Execution error

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Evaluation error

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Qwen 32B AWQ qwen32b-awq ✓ PASS 16

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule satisfied

Evaluation evidence

{
  "actual_normalized": "16",
  "expected_normalized": "16"
}

Latency

180.33721500250977 ms

Usage

{
  "input_tokens": 110,
  "output_tokens": 3
}

Provider metadata

{
  "adapter": "transformers_local",
  "cuda_version": "12.8",
  "device": "cuda",
  "dtype": "auto",
  "generation_latency_ms": 179.8337479995098,
  "gpu_compute_capability": [
    12,
    0
  ],
  "gpu_name": "NVIDIA GeForce RTX 5090",
  "model": "[local-model-path-redacted]/qwen32b-awq",
  "model_load_ms": 3622.3182269895915,
  "peak_cuda_memory_allocated_bytes": 19451900416,
  "provider": "transformers_local",
  "quantization_method": "awq",
  "torch_version": "2.9.0+cu128",
  "transformers_version": "4.51.3"
}

Model config

{
  "adapter": "transformers_local",
  "base_url": null,
  "device": "cuda",
  "dtype": "auto",
  "extra_headers": {},
  "generation": {
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  },
  "id": "qwen32b-awq",
  "local_files_only": true,
  "max_new_tokens": 32,
  "model": "[local-model-path-redacted]/qwen32b-awq",
  "quantization_method": "awq",
  "secret_env": null,
  "supports_json_mode": false,
  "timeout": 60
}

Execution error

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Evaluation error

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GPT-4o-mini gpt-4o-mini ✗ FAIL T₅ = 15

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule conclusively not satisfied

Evaluation evidence

{
  "actual_normalized": "t₅ = 15",
  "expected_normalized": "16"
}

Latency

606.2763669979176 ms

Usage

{
  "completion_tokens": 6,
  "completion_tokens_details": {
    "accepted_prediction_tokens": 0,
    "audio_tokens": 0,
    "reasoning_tokens": 0,
    "rejected_prediction_tokens": 0
  },
  "prompt_tokens": 88,
  "prompt_tokens_details": {
    "audio_tokens": 0,
    "cached_tokens": 0
  },
  "total_tokens": 94
}

Provider metadata

{
  "id": "chatcmpl-EGccmBIk8IvyoXEj3H0Vght0AitXB",
  "model": "gpt-4o-mini-2024-07-18",
  "provider": "openai_compatible"
}

Model config

{
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  "device": null,
  "dtype": "auto",
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  "generation": {
    "temperature": 0
  },
  "id": "gpt-4o-mini",
  "local_files_only": false,
  "max_new_tokens": 512,
  "model": "gpt-4o-mini",
  "quantization_method": null,
  "secret_env": "OPENAI_API_KEY",
  "supports_json_mode": false,
  "timeout": 120
}

Execution error

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Evaluation error

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Qwen 2.5 14B qwen2.5-14b ✗ FAIL 14

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule conclusively not satisfied

Evaluation evidence

{
  "actual_normalized": "14",
  "expected_normalized": "16"
}

Latency

91.7828340025153 ms

Usage

{
  "input_tokens": 110,
  "output_tokens": 3
}

Provider metadata

{
  "adapter": "transformers_local",
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  "device": "cuda",
  "dtype": "auto",
  "generation_latency_ms": 91.39037498971447,
  "gpu_compute_capability": [
    12,
    0
  ],
  "gpu_name": "NVIDIA GeForce RTX 5090",
  "model": "[local-model-path-redacted]/qwen2.5-14b",
  "model_load_ms": 71984.59202000231,
  "peak_cuda_memory_allocated_bytes": 29585926656,
  "provider": "transformers_local",
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Model config

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  "base_url": null,
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  },
  "id": "qwen2.5-14b",
  "local_files_only": true,
  "max_new_tokens": 32,
  "model": "[local-model-path-redacted]/qwen2.5-14b",
  "quantization_method": null,
  "secret_env": null,
  "supports_json_mode": false,
  "timeout": 60
}

Execution error

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Evaluation error

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Gemma 2 9B IT gemma2-9b-it ✓ PASS 16

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule satisfied

Evaluation evidence

{
  "actual_normalized": "16",
  "expected_normalized": "16"
}

Latency

93.00327098753769 ms

Usage

{
  "input_tokens": 87,
  "output_tokens": 4
}

Provider metadata

{
  "adapter": "transformers_local",
  "cuda_version": "12.8",
  "device": "cuda",
  "dtype": "auto",
  "generation_latency_ms": 92.66937201027758,
  "gpu_compute_capability": [
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  ],
  "gpu_name": "NVIDIA GeForce RTX 5090",
  "model": "[local-model-path-redacted]/gemma2-9b-it",
  "model_load_ms": 3646.1853710061405,
  "peak_cuda_memory_allocated_bytes": 18572790784,
  "provider": "transformers_local",
  "torch_version": "2.9.0+cu128",
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Model config

{
  "adapter": "transformers_local",
  "base_url": null,
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  "dtype": "auto",
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  },
  "id": "gemma2-9b-it",
  "local_files_only": true,
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  "model": "[local-model-path-redacted]/gemma2-9b-it",
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  "supports_json_mode": false,
  "timeout": 60
}

Execution error

—

Evaluation error

—

Qwen 2.5 14B AWQ qwen2.5-14b-awq ✗ FAIL 14

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule conclusively not satisfied

Evaluation evidence

{
  "actual_normalized": "14",
  "expected_normalized": "16"
}

Latency

87.68925500044134 ms

Usage

{
  "input_tokens": 110,
  "output_tokens": 3
}

Provider metadata

{
  "adapter": "transformers_local",
  "cuda_version": "12.8",
  "device": "cuda",
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  "generation_latency_ms": 87.22091399249621,
  "gpu_compute_capability": [
    12,
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  ],
  "gpu_name": "NVIDIA GeForce RTX 5090",
  "model": "[local-model-path-redacted]/qwen2.5-14b-awq",
  "model_load_ms": 2744.904780993238,
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Model config

{
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  "id": "qwen2.5-14b-awq",
  "local_files_only": true,
  "max_new_tokens": 32,
  "model": "[local-model-path-redacted]/qwen2.5-14b-awq",
  "quantization_method": "awq",
  "secret_env": null,
  "supports_json_mode": false,
  "timeout": 60
}

Execution error

—

Evaluation error

—

Phi-3 Medium phi3-medium-4k ✗ FAIL 13

Effective candidate prompt

Let Tₙ = Pₙ + n, where Pₙ is the nth prime number. For example: T₁ = 3, T₂ = 5, T₃ = 8, T₄ = 11. What is T₅?

Return only the final answer. Do not include explanation or reasoning.

Return only the final answer. Do not include explanation.

Evaluation reason

deterministic rule conclusively not satisfied

Evaluation evidence

{
  "actual_normalized": "13",
  "expected_normalized": "16"
}

Latency

106.70170000230428 ms

Usage

{
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  "output_tokens": 4
}

Provider metadata

{
  "adapter": "transformers_local",
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  "device": "cuda",
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  "generation_latency_ms": 106.40540299937129,
  "gpu_compute_capability": [
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  "gpu_name": "NVIDIA GeForce RTX 5090",
  "model": "[local-model-path-redacted]/phi3-medium-4k",
  "model_load_ms": 112327.89194400539,
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Model config

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  "timeout": 60
}

Execution error

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Evaluation error

—