from inline_snapshot import snapshot

from mirascope.llm import (
    AssistantMessage,
    Text,
    Thought,
    UserMessage,
)

sync_snapshot = snapshot(
    {
        "response": {
            "provider_id": "anthropic",
            "model_id": "anthropic/claude-sonnet-4-0",
            "provider_model_name": "claude-sonnet-4-0",
            "params": {"thinking": {"level": "minimal"}},
            "finish_reason": None,
            "usage": {
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                "cache_write_tokens": 0,
                "reasoning_tokens": 0,
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                "total_tokens": 488,
            },
            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[
                        Thought(
                            thought="""\
I need to find all primes below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79X (where X is a digit): 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form X79 (where X is a digit): 179, 279, 379
- The number 79 itself

Wait, let me be more systematic. Numbers below 400 that contain "79":
- 79
- 179
- 279
- 379
- Numbers starting with 79: but these would be 790+ which are all ≥ 790 > 400, so none of these are below 400.

So the candidates are: 79, 179, 279, 379

Now I need to check which of these are prime:

79: Let me check if 79 is prime.
√79 ≈ 8.9, so I need to check divisibility by primes up to 8: 2, 3, 5, 7
79 is odd, so not divisible by 2
79 = 7 + 9 = 16, 1 + 6 = 7, not divisible by 3
79 doesn't end in 0 or 5, so not divisible by 5
79 ÷ 7 = 11.28..., so not divisible by 7
So 79 is prime.

179: Let me check if 179 is prime.
√179 ≈ 13.4, so I need to check divisibility by primes up to 13: 2, 3, 5, 7, 11, 13
179 is odd, so not divisible by 2
1 + 7 + 9 = 17, 1 + 7 = 8, not divisible by 3


179 doesn't end in 0 or 5, so not divisible by 5
179 ÷ 7 = 25.57..., so not divisible by 7
179 ÷ 11 = 16.27..., so not divisible by 11
179 ÷ 13 = 13.77..., so not divisible by 13
So 179 is prime.

279: The digit sum is 2 + 7 + 9 = 18, which is divisible by 3, so 279 is divisible by 3 and not prime.

379: I need to check divisibility by primes up to √379 ≈ 19.5. It's odd, so not divisible by 2. The digit sum 3 + 7 + 9 = 19 isn't divisible by 3. It doesn't end in 0 or 5. Testing 7, 11, and continuing through the primes up to 19 to determine if 379 is prime.

After checking all primes up to 19 (7, 11, 13, 17, 19), none divide 379 evenly, so 379 is prime. The complete list of primes below 400 containing "79" as a substring is 79, 179, and 379—three primes total.\
"""
                        ),
                        Text(text="3"),
                    ],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
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                                "thinking": """\
I need to find all primes below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79X (where X is a digit): 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form X79 (where X is a digit): 179, 279, 379
- The number 79 itself

Wait, let me be more systematic. Numbers below 400 that contain "79":
- 79
- 179
- 279
- 379
- Numbers starting with 79: but these would be 790+ which are all ≥ 790 > 400, so none of these are below 400.

So the candidates are: 79, 179, 279, 379

Now I need to check which of these are prime:

79: Let me check if 79 is prime.
√79 ≈ 8.9, so I need to check divisibility by primes up to 8: 2, 3, 5, 7
79 is odd, so not divisible by 2
79 = 7 + 9 = 16, 1 + 6 = 7, not divisible by 3
79 doesn't end in 0 or 5, so not divisible by 5
79 ÷ 7 = 11.28..., so not divisible by 7
So 79 is prime.

179: Let me check if 179 is prime.
√179 ≈ 13.4, so I need to check divisibility by primes up to 13: 2, 3, 5, 7, 11, 13
179 is odd, so not divisible by 2
1 + 7 + 9 = 17, 1 + 7 = 8, not divisible by 3


179 doesn't end in 0 or 5, so not divisible by 5
179 ÷ 7 = 25.57..., so not divisible by 7
179 ÷ 11 = 16.27..., so not divisible by 11
179 ÷ 13 = 13.77..., so not divisible by 13
So 179 is prime.

279: The digit sum is 2 + 7 + 9 = 18, which is divisible by 3, so 279 is divisible by 3 and not prime.

379: I need to check divisibility by primes up to √379 ≈ 19.5. It's odd, so not divisible by 2. The digit sum 3 + 7 + 9 = 19 isn't divisible by 3. It doesn't end in 0 or 5. Testing 7, 11, and continuing through the primes up to 19 to determine if 379 is prime.

After checking all primes up to 19 (7, 11, 13, 17, 19), none divide 379 evenly, so 379 is prime. The complete list of primes below 400 containing "79" as a substring is 79, 179, and 379—three primes total.\
""",
                                "type": "thinking",
                            },
                            {"citations": None, "text": "3", "type": "text"},
                        ],
                    },
                ),
                UserMessage(
                    content=[
                        Text(
                            text="If you remember what the primes were, then share them, or say 'I don't remember.'"
                        )
                    ]
                ),
                AssistantMessage(
                    content=[Text(text="The primes were: 79, 179, and 379.")],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
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                                "thinking": """\
I need to think about primes below 400 that contain "79" as a substring.

Let me think of numbers containing "79":
- 79 itself
- 179
- 279
- 379
- Numbers like 790, 791, 792, etc. (but these are above 400)
- Numbers like 1790, etc. (way above 400)

So the candidates are: 79, 179, 279, 379

Let me check if these are prime:
- 79: This is prime
- 179: Let me check... 179 is not divisible by 2, 3, 5, 7, 11, 13... √179 ≈ 13.4, so I need to check up to 13. 179/7 ≈ 25.6, 179/11 ≈ 16.3, 179/13 ≈ 13.8. None of these divide evenly, so 179 is prime.
- 279: 279 = 9 × 31, so this is not prime
- 379: Let me check... 379 is not divisible by small primes. √379 ≈ 19.5, so I need to check up to 19. It's not divisible by 2, 3, 5, 7, 11, 13, 17, 19. So 379 is prime.

So the primes are: 79, 179, 379. That's 3 primes, which matches my previous answer.\
""",
                                "type": "thinking",
                            },
                            {
                                "citations": None,
                                "text": "The primes were: 79, 179, and 379.",
                                "type": "text",
                            },
                        ],
                    },
                ),
            ],
            "format": None,
            "tools": [],
        }
    }
)
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            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[
                        Thought(
                            thought="""\
I need to find all primes below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- 79 itself
- Numbers starting with 79: 790, 791, 792, etc. (but these are ≥ 790 > 400)
- Numbers ending with 79: 179, 279, 379
- Numbers with 79 in the middle: This would require at least 3 digits, and the smallest would be something like 1790, which is > 400

So the candidates are:
- 79
- 179
- 279
- 379

Now I need to check which of these are prime.

79: Let me check if 79 is prime.
79 ÷ 2 = 39.5 (not divisible)
79 ÷ 3 = 26.33... (not divisible)
79 ÷ 5 = 15.8 (not divisible)
79 ÷ 7 = 11.28... (not divisible)
√79 ≈ 8.9, so I need to check divisibility up to 8.
79 ÷ 8 = 9.875 (not divisible)
Since 79 is not divisible by any prime up to √79, it is prime.

179: Let me check if 179 is prime.
179 ÷ 2 = 89.5 (not divisible)
179 ÷ 3 = 59.67... (not divisible)
179 ÷ 5 = 35.8 (not divisible)
179 ÷ 7 = 25.57... (not divisible)
179 ÷ 11 = 16.27... (not divisible)


179 ÷ 13 = 13.77... (not divisible)
√179 ≈ 13.4, so I've checked all primes up to the square root. 179 is prime.

279: Let me check if 279 is prime.
279 ÷ 2 = 139.5 (not divisible)
279 ÷ 3 = 93 (divisible!)
So 279 = 3 × 93, which means it's composite and not prime.

379: Now checking 379.
379 ÷ 2 = 189.5 (not divisible)
379 ÷ 3 = 126.33... (not divisible)
379 ÷ 5 = 75.8 (not divisible)
379 ÷ 7 = 54.14... (not divisible)
379 ÷ 11 = 34.45... (not divisible)
379 ÷ 13 = 29.15... (not divisible)
379 ÷ 17 = 22.29... (not divisible)
379 ÷ 19 = 19.95... (not divisible)
Since √379 ≈ 19.5, I've tested all necessary primes. 379 is prime.

The numbers below 400 containing "79" that are prime: 79, 179, and 379. That gives me 3 primes total.\
"""
                        ),
                        Text(text="3"),
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                                "thinking": """\
I need to find all primes below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- 79 itself
- Numbers starting with 79: 790, 791, 792, etc. (but these are ≥ 790 > 400)
- Numbers ending with 79: 179, 279, 379
- Numbers with 79 in the middle: This would require at least 3 digits, and the smallest would be something like 1790, which is > 400

So the candidates are:
- 79
- 179
- 279
- 379

Now I need to check which of these are prime.

79: Let me check if 79 is prime.
79 ÷ 2 = 39.5 (not divisible)
79 ÷ 3 = 26.33... (not divisible)
79 ÷ 5 = 15.8 (not divisible)
79 ÷ 7 = 11.28... (not divisible)
√79 ≈ 8.9, so I need to check divisibility up to 8.
79 ÷ 8 = 9.875 (not divisible)
Since 79 is not divisible by any prime up to √79, it is prime.

179: Let me check if 179 is prime.
179 ÷ 2 = 89.5 (not divisible)
179 ÷ 3 = 59.67... (not divisible)
179 ÷ 5 = 35.8 (not divisible)
179 ÷ 7 = 25.57... (not divisible)
179 ÷ 11 = 16.27... (not divisible)


179 ÷ 13 = 13.77... (not divisible)
√179 ≈ 13.4, so I've checked all primes up to the square root. 179 is prime.

279: Let me check if 279 is prime.
279 ÷ 2 = 139.5 (not divisible)
279 ÷ 3 = 93 (divisible!)
So 279 = 3 × 93, which means it's composite and not prime.

379: Now checking 379.
379 ÷ 2 = 189.5 (not divisible)
379 ÷ 3 = 126.33... (not divisible)
379 ÷ 5 = 75.8 (not divisible)
379 ÷ 7 = 54.14... (not divisible)
379 ÷ 11 = 34.45... (not divisible)
379 ÷ 13 = 29.15... (not divisible)
379 ÷ 17 = 22.29... (not divisible)
379 ÷ 19 = 19.95... (not divisible)
Since √379 ≈ 19.5, I've tested all necessary primes. 379 is prime.

The numbers below 400 containing "79" that are prime: 79, 179, and 379. That gives me 3 primes total.\
""",
                                "type": "thinking",
                            },
                            {"citations": None, "text": "3", "type": "text"},
                        ],
                    },
                ),
                UserMessage(
                    content=[
                        Text(
                            text="If you remember what the primes were, then share them, or say 'I don't remember.'"
                        )
                    ]
                ),
                AssistantMessage(
                    content=[Text(text="The primes were: 79, 179, and 379.")],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "signature": "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",
                                "thinking": """\
I need to think about primes below 400 that contain "79" as a substring.

Let me think systematically:
- Numbers that contain "79" as a substring could be:
  - 79 itself
  - Numbers starting with 79: 790, 791, 792, etc. (but these are above 400 or not prime)
  - Numbers ending with 79: 179, 279, 379
  - Numbers with 79 in the middle: like 1790, 2790, etc. (but these would be too large)

So the candidates are:
- 79: This is prime
- 179: Let me check if this is prime. 179 is not divisible by 2, 3, 5, 7, 11, 13... √179 ≈ 13.4, so I need to check up to 13. 179/7 ≈ 25.6, 179/11 ≈ 16.3, 179/13 ≈ 13.8. None of these divide evenly, so 179 is prime.
- 279: This is divisible by 3 (2+7+9=18, which is divisible by 3), so 279 = 3 × 93 = 3 × 3 × 31, so not prime.
- 379: Let me check if this is prime. 379 is not divisible by 2, 3, 5, 7, 11, 13, 17, 19... √379 ≈ 19.5, so I need to check up to 19. Let me check: 379/7 ≈ 54.1, 379/11 ≈ 34.5, 379/13 ≈ 29.2, 379/17 ≈ 22.3, 379/19 ≈ 19.9. \n\

None of these divide evenly, so 379 is prime. The complete list is 79, 179, and 379—three primes total.\
""",
                                "type": "thinking",
                            },
                            {
                                "citations": None,
                                "text": "The primes were: 79, 179, and 379.",
                                "type": "text",
                            },
                        ],
                    },
                ),
            ],
            "format": None,
            "tools": [],
        }
    }
)
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    {
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            "provider_id": "anthropic",
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            "messages": [
                UserMessage(
                    content=[
                        Text(
                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
                        )
                    ]
                ),
                AssistantMessage(
                    content=[
                        Thought(
                            thought="""\
I need to find all prime numbers below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79X (where X is a digit): 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form X79 (where X is a digit): 179, 279, 379
- The number 79 itself

Wait, let me be more systematic. The numbers below 400 that contain "79" as a substring are:
- 79
- 179
- 279
- 379
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (but these are all ≥ 790, so they're all above 400)

So I only need to check: 79, 179, 279, 379

Let me check if each is prime:

79: Let me check if 79 is prime.
- Not divisible by 2 (it's odd)
- Not divisible by 3: 7+9 = 16, not divisible by 3
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 79 ÷ 7 = 11.28... (not divisible)
- Since √79 ≈ 8.9, I only need to check up to 8
- Not divisible by 8 (since not divisible by 2)

Actually, let me be more careful. To check if 79 is prime, I need to check divisibility by all primes up to √79 ≈ 8.9.
Primes up to 8: 2, 3, 5, 7


Testing these: 79 is odd, digit sum is 16 (not divisible by 3), doesn't end in 0 or 5, and 79 ÷ 7 ≈ 11.3. So 79 is prime.

179: I need to check divisibility by primes up to √179 ≈ 13.4, which means testing 2, 3, 5, 7, 11, and 13. 179 is odd, has digit sum 17 (not divisible by 3), doesn't end in 0 or 5, and checking 7, 11, and 13 shows none divide evenly into 179, making it prime.

For 279: The digit sum is 18, which is divisible by 3, so 279 ÷ 3 = 93, meaning 279 is composite.

For 379: I need to test divisibility by primes up to √379 ≈ 19.5. Testing 2, 3, 5, 7, 11, and 13 all fail to divide evenly, and continuing with 17 and 19 also yields no factors, confirming 379 is prime.

The complete list of primes below 400 containing "79" is 79, 179, and 379—three primes total.\
"""
                        ),
                        Text(
                            text="""\
Looking at numbers below 400 that contain "79" as a substring:
- 79
- 179  \n\
- 279
- 379

Checking each for primality:
- 79: Prime
- 179: Prime  \n\
- 279: Not prime (divisible by 3)
- 379: Prime

3\
"""
                        ),
                    ],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "type": "thinking",
                                "thinking": """\
I need to find all prime numbers below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers of the form 79X (where X is a digit): 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers of the form X79 (where X is a digit): 179, 279, 379
- The number 79 itself

Wait, let me be more systematic. The numbers below 400 that contain "79" as a substring are:
- 79
- 179
- 279
- 379
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (but these are all ≥ 790, so they're all above 400)

So I only need to check: 79, 179, 279, 379

Let me check if each is prime:

79: Let me check if 79 is prime.
- Not divisible by 2 (it's odd)
- Not divisible by 3: 7+9 = 16, not divisible by 3
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 79 ÷ 7 = 11.28... (not divisible)
- Since √79 ≈ 8.9, I only need to check up to 8
- Not divisible by 8 (since not divisible by 2)

Actually, let me be more careful. To check if 79 is prime, I need to check divisibility by all primes up to √79 ≈ 8.9.
Primes up to 8: 2, 3, 5, 7


Testing these: 79 is odd, digit sum is 16 (not divisible by 3), doesn't end in 0 or 5, and 79 ÷ 7 ≈ 11.3. So 79 is prime.

179: I need to check divisibility by primes up to √179 ≈ 13.4, which means testing 2, 3, 5, 7, 11, and 13. 179 is odd, has digit sum 17 (not divisible by 3), doesn't end in 0 or 5, and checking 7, 11, and 13 shows none divide evenly into 179, making it prime.

For 279: The digit sum is 18, which is divisible by 3, so 279 ÷ 3 = 93, meaning 279 is composite.

For 379: I need to test divisibility by primes up to √379 ≈ 19.5. Testing 2, 3, 5, 7, 11, and 13 all fail to divide evenly, and continuing with 17 and 19 also yields no factors, confirming 379 is prime.

The complete list of primes below 400 containing "79" is 79, 179, and 379—three primes total.\
""",
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                            },
                            {
                                "type": "text",
                                "text": """\
Looking at numbers below 400 that contain "79" as a substring:
- 79
- 179  \n\
- 279
- 379

Checking each for primality:
- 79: Prime
- 179: Prime  \n\
- 279: Not prime (divisible by 3)
- 379: Prime

3\
""",
                            },
                        ],
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                            text="If you remember what the primes were, then share them, or say 'I don't remember.'"
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                    raw_message={
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                        "content": [
                            {
                                "type": "thinking",
                                "thinking": """\
The user is asking me to recall the primes I found that contain "79" as a substring below 400. In my previous response, I identified:
- 79: Prime
- 179: Prime  \n\
- 279: Not prime (divisible by 3)
- 379: Prime

So the primes were 79, 179, and 379.\
""",
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                                "text": "The primes were: 79, 179, and 379.",
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                            text="How many primes below 400 contain 79 as a substring? Answer ONLY with the number, not sharing which primes they are."
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                        Thought(
                            thought="""\
I need to find all prime numbers below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers like 79, 179, 279, 379 (79 at the end)
- Numbers like 790, 791, 792, etc. (but these are ≥ 790, so above 400)
- Numbers like 1790, 2790, etc. (but these are way above 400)

So the only candidates below 400 are: 79, 179, 279, 379

Now I need to check which of these are prime:

79: Let me check if 79 is prime
- Not divisible by 2 (it's odd)
- Not divisible by 3 (7+9=16, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 79 ÷ 7 = 11.28... (not divisible)
- I only need to check up to √79 ≈ 8.9, so I need to check 2, 3, 5, 7
- Since none of these divide 79, it's prime

179: Let me check if 179 is prime
- Not divisible by 2 (it's odd)
- Not divisible by 3 (1+7+9=17, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 179 ÷ 7 = 25.57... (not divisible)
- Not divisible by 11: 179 ÷ 11 = 16.27... (not divisible)
- Not divisible by 13: 179 ÷ 13 = 13.77... (not divisible)


- Since √179 ≈ 13.4 and none of the primes up to 13 divide it, 179 is prime.

For 279, the digit sum is 18, which is divisible by 3, so 279 = 3 × 93 and isn't prime. For 379, I need to test divisibility by small primes up to √379 ≈ 19.5.

Checking 379: it's odd, the digit sum 19 isn't divisible by 3, it doesn't end in 0 or 5, and testing 7, 11, 13, 17, and 19 all yield non-integer results, so 379 appears to be prime.

Since I only need to verify divisibility up to √379 ≈ 19.5, and none of the primes in that range divide 379, I can confirm it's prime. The three primes below 400 containing "79" are therefore 79, 179, and 379. Let me verify 79 itself: it's odd, digit sum is 16 (not divisible by 3), doesn't end in 0 or 5, and 79 ÷ 7 leaves remainder 2, confirming 79 is also prime.

For 179, checking divisibility by 2, 3, 5, 7, 11, and 13 up to √179 ≈ 13.4 shows none divide evenly—it's prime. Similarly, 379 passes all divisibility tests for primes up to its square root, making it prime as well. Since 379 passes all divisibility tests up through 19, it's prime. Now checking 279: the digit sum is 18, which is divisible by 3, so 279 ÷ 3 = 93. This means 279 is composite. Therefore, the answer is 3.\
"""
                        ),
                        Text(
                            text="""\
Looking at numbers below 400 that contain "79" as a substring, the candidates are: 79, 179, 279, and 379.

Checking each for primality:
- 79: Prime
- 179: Prime  \n\
- 279: Not prime (divisible by 3)
- 379: Prime

3\
"""
                        ),
                    ],
                    provider_id="anthropic",
                    model_id="anthropic/claude-sonnet-4-0",
                    provider_model_name="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "type": "thinking",
                                "thinking": """\
I need to find all prime numbers below 400 that contain "79" as a substring.

First, let me think about what numbers below 400 could contain "79" as a substring:
- Numbers like 79, 179, 279, 379 (79 at the end)
- Numbers like 790, 791, 792, etc. (but these are ≥ 790, so above 400)
- Numbers like 1790, 2790, etc. (but these are way above 400)

So the only candidates below 400 are: 79, 179, 279, 379

Now I need to check which of these are prime:

79: Let me check if 79 is prime
- Not divisible by 2 (it's odd)
- Not divisible by 3 (7+9=16, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 79 ÷ 7 = 11.28... (not divisible)
- I only need to check up to √79 ≈ 8.9, so I need to check 2, 3, 5, 7
- Since none of these divide 79, it's prime

179: Let me check if 179 is prime
- Not divisible by 2 (it's odd)
- Not divisible by 3 (1+7+9=17, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- Not divisible by 7: 179 ÷ 7 = 25.57... (not divisible)
- Not divisible by 11: 179 ÷ 11 = 16.27... (not divisible)
- Not divisible by 13: 179 ÷ 13 = 13.77... (not divisible)


- Since √179 ≈ 13.4 and none of the primes up to 13 divide it, 179 is prime.

For 279, the digit sum is 18, which is divisible by 3, so 279 = 3 × 93 and isn't prime. For 379, I need to test divisibility by small primes up to √379 ≈ 19.5.

Checking 379: it's odd, the digit sum 19 isn't divisible by 3, it doesn't end in 0 or 5, and testing 7, 11, 13, 17, and 19 all yield non-integer results, so 379 appears to be prime.

Since I only need to verify divisibility up to √379 ≈ 19.5, and none of the primes in that range divide 379, I can confirm it's prime. The three primes below 400 containing "79" are therefore 79, 179, and 379. Let me verify 79 itself: it's odd, digit sum is 16 (not divisible by 3), doesn't end in 0 or 5, and 79 ÷ 7 leaves remainder 2, confirming 79 is also prime.

For 179, checking divisibility by 2, 3, 5, 7, 11, and 13 up to √179 ≈ 13.4 shows none divide evenly—it's prime. Similarly, 379 passes all divisibility tests for primes up to its square root, making it prime as well. Since 379 passes all divisibility tests up through 19, it's prime. Now checking 279: the digit sum is 18, which is divisible by 3, so 279 ÷ 3 = 93. This means 279 is composite. Therefore, the answer is 3.\
""",
                                "signature": " ",
                            },
                            {
                                "type": "text",
                                "text": """\
Looking at numbers below 400 that contain "79" as a substring, the candidates are: 79, 179, 279, and 379.

Checking each for primality:
- 79: Prime
- 179: Prime  \n\
- 279: Not prime (divisible by 3)
- 379: Prime

3\
""",
                            },
                        ],
                    },
                ),
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                            text="If you remember what the primes were, then share them, or say 'I don't remember.'"
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                        Text(text="I remember. The primes were: 79, 179, and 379.")
                    ],
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                            {
                                "type": "thinking",
                                "thinking": "The user is asking me to recall the primes I found in my previous response. I did identify them in my working - they were 79, 179, and 379. I can share these since the user is now explicitly asking for them.",
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