from inline_snapshot import snapshot

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

sync_snapshot = snapshot(
    {
        "response": {
            "provider": "anthropic",
            "model_id": "claude-sonnet-4-0",
            "params": {"thinking": False},
            "finish_reason": None,
            "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 starting with 79: 79, 790, 791, 792, ..., 799 (but we only care about those < 400, so just 79, 790, 791, ..., 399 won't work since 790 > 400)
- Wait, that's wrong. Numbers starting with 79 and less than 400 would be just 79 itself, since 790 > 400.
- Numbers with 79 in the middle: like 179, 279, 379
- Numbers ending with 79: like 179, 279, 379 (these are the same as the middle case for 3-digit numbers)

So let me be more systematic. The numbers below 400 that contain "79" as a substring are:
- 79 (two digits)
- 179 (three digits, 79 at the end)
- 279 (three digits, 79 at the end)  \n\
- 379 (three digits, 79 at the end)

Wait, let me think more carefully. What about numbers like 790, 791, etc.? These are all ≥ 790 > 400, so they don't qualify.

What about numbers that have 79 in the middle, like a79b where a and b are digits? For three-digit numbers a79, we get 179, 279, 379 as I listed above. For four-digit numbers, they'd be ≥ 1000 > 400.

What about numbers like 7a9 where a is some digit? These would be 709, 719, 729, 739, 749, 759, 769, 779, 789, 799. But these don't contain "79" as a substring - they contain "7_9" where _ is some other digit.
 \n\
I'll verify the primality of these candidates systematically. I'll start by checking 79 for divisibility. I'll look at its square root and test prime divisors carefully. 79 looks promising as a prime number, with no obvious small divisors. I'll need to check divisibility methodically to confirm its prime status.

For 179, I'll apply the same rigorous divisibility testing. I'll check primes up to its square root, finding no factors. This suggests 179 is indeed a prime number.

With 279, I quickly discover it's divisible by 3, which immediately disqualifies it from being prime. The digit sum of 18 reveals this non-prime status.

Now I'll investigate 379's primality, carefully examining its potential divisors.

I systematically test divisibility by primes up to its square root. No prime divides 379 evenly, confirming its prime status.

Scanning the results, I identify three primes containing "79": 79, 179, and 379. The count stands at 3 such primes.

I carefully examine three-digit numbers, confirming no additional primes with "79" exist below 400. Numbers like 790 and above fall outside the specified range.

My list appears comprehensive: 79, 179, 279, 379. I'm now verifying each number's primality.

For 79, I'll test divisibility by small primes up to its square root. Checking 2, 3, 5, and 7 reveals no factors. The number remains prime.

Turning to 179, I'll apply the same methodical divisibility testing, checking primes up to its square root.

Continuing the divisibility check, I find no factors at 7, 11, or 13. This confirms 179's primality through systematic elimination.

For 279, the digit sum immediately reveals divisibility by 3. Dividing confirms 3 as a factor, making 279 composite.

Approaching 379, I'll systematically test divisibility by primes up to its square root, starting with 2, 3, 5, 7, 11.

No prime factors emerge through careful remainder calculations. Each test - 7, 11, 13, 17, 19 - leaves a non-zero remainder. This methodically proves 379's prime status.

The substring search yields three primes: 79, 179, and 379. The count is 3.\
"""
                        ),
                        Text(
                            text="""\
Looking at numbers below 400 that contain "79" as a substring:

- 79
- 179  \n\
- 279
- 379

Now checking which are prime:
- 79: Prime
- 179: Prime  \n\
- 279: Divisible by 3 (digit sum = 18), so composite
- 379: Prime

3\
"""
                        ),
                    ],
                    provider="anthropic",
                    model_id="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "signature": " ",
                                "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 starting with 79: 79, 790, 791, 792, ..., 799 (but we only care about those < 400, so just 79, 790, 791, ..., 399 won't work since 790 > 400)
- Wait, that's wrong. Numbers starting with 79 and less than 400 would be just 79 itself, since 790 > 400.
- Numbers with 79 in the middle: like 179, 279, 379
- Numbers ending with 79: like 179, 279, 379 (these are the same as the middle case for 3-digit numbers)

So let me be more systematic. The numbers below 400 that contain "79" as a substring are:
- 79 (two digits)
- 179 (three digits, 79 at the end)
- 279 (three digits, 79 at the end)  \n\
- 379 (three digits, 79 at the end)

Wait, let me think more carefully. What about numbers like 790, 791, etc.? These are all ≥ 790 > 400, so they don't qualify.

What about numbers that have 79 in the middle, like a79b where a and b are digits? For three-digit numbers a79, we get 179, 279, 379 as I listed above. For four-digit numbers, they'd be ≥ 1000 > 400.

What about numbers like 7a9 where a is some digit? These would be 709, 719, 729, 739, 749, 759, 769, 779, 789, 799. But these don't contain "79" as a substring - they contain "7_9" where _ is some other digit.
 \n\
I'll verify the primality of these candidates systematically. I'll start by checking 79 for divisibility. I'll look at its square root and test prime divisors carefully. 79 looks promising as a prime number, with no obvious small divisors. I'll need to check divisibility methodically to confirm its prime status.

For 179, I'll apply the same rigorous divisibility testing. I'll check primes up to its square root, finding no factors. This suggests 179 is indeed a prime number.

With 279, I quickly discover it's divisible by 3, which immediately disqualifies it from being prime. The digit sum of 18 reveals this non-prime status.

Now I'll investigate 379's primality, carefully examining its potential divisors.

I systematically test divisibility by primes up to its square root. No prime divides 379 evenly, confirming its prime status.

Scanning the results, I identify three primes containing "79": 79, 179, and 379. The count stands at 3 such primes.

I carefully examine three-digit numbers, confirming no additional primes with "79" exist below 400. Numbers like 790 and above fall outside the specified range.

My list appears comprehensive: 79, 179, 279, 379. I'm now verifying each number's primality.

For 79, I'll test divisibility by small primes up to its square root. Checking 2, 3, 5, and 7 reveals no factors. The number remains prime.

Turning to 179, I'll apply the same methodical divisibility testing, checking primes up to its square root.

Continuing the divisibility check, I find no factors at 7, 11, or 13. This confirms 179's primality through systematic elimination.

For 279, the digit sum immediately reveals divisibility by 3. Dividing confirms 3 as a factor, making 279 composite.

Approaching 379, I'll systematically test divisibility by primes up to its square root, starting with 2, 3, 5, 7, 11.

No prime factors emerge through careful remainder calculations. Each test - 7, 11, 13, 17, 19 - leaves a non-zero remainder. This methodically proves 379's prime status.

The substring search yields three primes: 79, 179, and 379. The count is 3.\
""",
                                "type": "thinking",
                            },
                            {
                                "citations": None,
                                "text": """\
Looking at numbers below 400 that contain "79" as a substring:

- 79
- 179  \n\
- 279
- 379

Now checking which are prime:
- 79: Prime
- 179: Prime  \n\
- 279: Divisible by 3 (digit sum = 18), so composite
- 379: Prime

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="I remember them: 79, 179, and 379.")],
                    provider="anthropic",
                    model_id="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "citations": None,
                                "text": "I remember them: 79, 179, and 379.",
                                "type": "text",
                            }
                        ],
                    },
                ),
            ],
            "format": None,
            "tools": [],
        }
    }
)
async_snapshot = snapshot(
    {
        "response": {
            "provider": "anthropic",
            "model_id": "claude-sonnet-4-0",
            "params": {"thinking": False},
            "finish_reason": None,
            "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
- Any number starting with 79 would be at least 790, but we need numbers below 400, so none of these work.

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 is not divisible by 2 (it's odd)
79 ÷ 3 = 26.33... (not divisible by 3)
79 ÷ 5 = 15.8 (not divisible by 5)
79 ÷ 7 = 11.28... (not divisible by 7)
√79 ≈ 8.9, so I only need to check up to 8.
79 ÷ 8 = 9.875 (not divisible)
Since 79 is not divisible by any prime up to its square root, 79 is prime.

179: Let me check if 179 is prime.
179 is not divisible by 2 (it's odd)
1 + 7 + 9 = 17, not divisible by 3
179 doesn't end in 0 or 5, so not divisible by 5


179 ÷ 7 = 25.57... (not divisible by 7)
179 ÷ 11 = 16.27... (not divisible by 11)
179 ÷ 13 = 13.77... (not divisible by 13)
√179 ≈ 13.4, so I need to check primes up to 13.
Since 179 is not divisible by 2, 3, 5, 7, 11, or 13, it is prime.

I'll continue checking the remaining candidates systematically, verifying their primality through divisibility tests.

279 is an odd number, but the digit sum reveals it's divisible by 3. Dividing 279 by 3 yields 93, confirming it's a composite number.

Investigating 379, I methodically test divisibility by small primes. After checking up to 19 and finding no factors, I confirm 379 is prime.

Compiling the results, I identify three primes containing "79": 79, 179, and 379, totaling 3 such primes below 400.\
"""
                        ),
                        Text(text="3"),
                    ],
                    provider="anthropic",
                    model_id="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "signature": "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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
- Any number starting with 79 would be at least 790, but we need numbers below 400, so none of these work.

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 is not divisible by 2 (it's odd)
79 ÷ 3 = 26.33... (not divisible by 3)
79 ÷ 5 = 15.8 (not divisible by 5)
79 ÷ 7 = 11.28... (not divisible by 7)
√79 ≈ 8.9, so I only need to check up to 8.
79 ÷ 8 = 9.875 (not divisible)
Since 79 is not divisible by any prime up to its square root, 79 is prime.

179: Let me check if 179 is prime.
179 is not divisible by 2 (it's odd)
1 + 7 + 9 = 17, not divisible by 3
179 doesn't end in 0 or 5, so not divisible by 5


179 ÷ 7 = 25.57... (not divisible by 7)
179 ÷ 11 = 16.27... (not divisible by 11)
179 ÷ 13 = 13.77... (not divisible by 13)
√179 ≈ 13.4, so I need to check primes up to 13.
Since 179 is not divisible by 2, 3, 5, 7, 11, or 13, it is prime.

I'll continue checking the remaining candidates systematically, verifying their primality through divisibility tests.

279 is an odd number, but the digit sum reveals it's divisible by 3. Dividing 279 by 3 yields 93, confirming it's a composite number.

Investigating 379, I methodically test divisibility by small primes. After checking up to 19 and finding no factors, I confirm 379 is prime.

Compiling the results, I identify three primes containing "79": 79, 179, and 379, totaling 3 such primes below 400.\
""",
                                "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="I don't remember.")],
                    provider="anthropic",
                    model_id="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "citations": None,
                                "text": "I don't remember.",
                                "type": "text",
                            }
                        ],
                    },
                ),
            ],
            "format": None,
            "tools": [],
        }
    }
)
stream_snapshot = snapshot(
    {
        "response": {
            "provider": "anthropic",
            "model_id": "claude-sonnet-4-0",
            "finish_reason": None,
            "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 starting with 79: 79, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers with 79 in the middle: 179, 279, 379 (since we're below 400)
- Numbers ending with 79: 79, 179, 279, 379

Wait, let me be more systematic. Since we're looking at numbers below 400, the possible patterns are:
1. Two-digit numbers: 79
2. Three-digit numbers starting with 79: 790-399 (but we need to stay below 400, so 790-399)
3. Three-digit numbers with 79 in positions 2-3: X79 where X can be 1, 2, or 3
4. Three-digit numbers with 79 in positions 1-2: 79X where X can be any digit

Let me list all numbers below 400 containing "79":
- 79
- 179 (1 + 79)
- 279 (2 + 79)  \n\
- 379 (3 + 79)
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (79 + digit)

Wait, I need to be careful about numbers above 400. Since we want numbers below 400, we can't include any of the 79X numbers since 790 > 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 ÷ 11 = 7.18... (not divisible)
I'll systematically test divisibility by checking prime numbers up to the square root. Since √79 ≈ 8.9, I only need to check primes 2, 3, 5, 7, and 11. None divide evenly, so 79 is confirmed prime.

I'll now check 179's primality by testing divisibility systematically. Dividing by 2 yields 89.5, which is not a whole number. Continuing with 3, the result is 59.67..., again not divisible. Checking 5 gives 35.8, and 7 produces 25.57... - all non-integer results. Extending to 11 and 13 also fails to find any divisors. With √179 ≈ 13.4, I've comprehensively tested potential factors. 179 is prime.

Examining 279, I quickly find 3 divides evenly: 279 ÷ 3 = 93, revealing 279 as a composite number.

For 379, I start division tests. 2 yields 189.5, 3 gives 126.33..., 5 results in 75.8, and 7 produces 54.14... - all indicating no clean divisibility.

Continuing tests with 11, 13, 17, and 19 confirm no factors emerge. With √379 ≈ 19.5, I've exhaustively checked potential divisors. 379 is prime.

The primes below 400 containing "79" are 79, 179, and 379 - totaling 3 such primes.\
"""
                        ),
                        Text(text="3"),
                    ],
                    provider="anthropic",
                    model_id="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 starting with 79: 79, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799
- Numbers with 79 in the middle: 179, 279, 379 (since we're below 400)
- Numbers ending with 79: 79, 179, 279, 379

Wait, let me be more systematic. Since we're looking at numbers below 400, the possible patterns are:
1. Two-digit numbers: 79
2. Three-digit numbers starting with 79: 790-399 (but we need to stay below 400, so 790-399)
3. Three-digit numbers with 79 in positions 2-3: X79 where X can be 1, 2, or 3
4. Three-digit numbers with 79 in positions 1-2: 79X where X can be any digit

Let me list all numbers below 400 containing "79":
- 79
- 179 (1 + 79)
- 279 (2 + 79)  \n\
- 379 (3 + 79)
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (79 + digit)

Wait, I need to be careful about numbers above 400. Since we want numbers below 400, we can't include any of the 79X numbers since 790 > 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 ÷ 11 = 7.18... (not divisible)
I'll systematically test divisibility by checking prime numbers up to the square root. Since √79 ≈ 8.9, I only need to check primes 2, 3, 5, 7, and 11. None divide evenly, so 79 is confirmed prime.

I'll now check 179's primality by testing divisibility systematically. Dividing by 2 yields 89.5, which is not a whole number. Continuing with 3, the result is 59.67..., again not divisible. Checking 5 gives 35.8, and 7 produces 25.57... - all non-integer results. Extending to 11 and 13 also fails to find any divisors. With √179 ≈ 13.4, I've comprehensively tested potential factors. 179 is prime.

Examining 279, I quickly find 3 divides evenly: 279 ÷ 3 = 93, revealing 279 as a composite number.

For 379, I start division tests. 2 yields 189.5, 3 gives 126.33..., 5 results in 75.8, and 7 produces 54.14... - all indicating no clean divisibility.

Continuing tests with 11, 13, 17, and 19 confirm no factors emerge. With √379 ≈ 19.5, I've exhaustively checked potential divisors. 379 is prime.

The primes below 400 containing "79" are 79, 179, and 379 - totaling 3 such primes.\
""",
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                            },
                            {"type": "text", "text": "3"},
                        ],
                    },
                ),
                UserMessage(
                    content=[
                        Text(
                            text="If you remember what the primes were, then share them, or say 'I don't remember.'"
                        )
                    ]
                ),
                AssistantMessage(
                    content=[Text(text="I remember them: 79, 179, and 379.")],
                    provider="anthropic",
                    model_id="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [
                            {
                                "type": "text",
                                "text": "I remember them: 79, 179, and 379.",
                            }
                        ],
                    },
                ),
            ],
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            "tools": [],
            "n_chunks": 6,
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async_stream_snapshot = snapshot(
    {
        "response": {
            "provider": "anthropic",
            "model_id": "claude-sonnet-4-0",
            "finish_reason": None,
            "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. Numbers below 400 that contain "79":
- 79 (just "79")
- 179 (contains "79")
- 279 (contains "79") \n\
- 379 (contains "79")
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (but these are all ≥ 790, so they're all above 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
7+9 = 16, not divisible by 3
Doesn't end in 0 or 5, so not divisible by 5
79 ÷ 7 = 11.28..., so not divisible by 7
Therefore 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, not divisible by 3
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
Therefore 179 is prime.

279: I'll systematically test 279's primality by checking divisibility by small prime numbers.
279 is odd, so not divisible by 2
2+7+9 = 18, which is divisible by 3
279 ÷ 3 = 93
So 279 = 3 × 93, therefore 279 is not prime.

379: I'll methodically verify 379's primality by testing divisibility up to its square root.
√379 ≈ 19.5, so I need to check divisibility by primes up to 19: 2, 3, 5, 7, 11, 13, 17, 19
379 is odd, so not divisible by 2
3+7+9 = 19, not divisible by 3
Doesn't end in 0 or 5, so not divisible by 5
379 ÷ 7 = 54.14..., so not divisible by 7
379 ÷ 11 = 34.45..., so not divisible by 11
379 ÷ 13 = 29.15..., so not divisible by 13
379 ÷ 17 = 22.29..., so not divisible by 17
379 ÷ 19 = 19.95..., so not divisible by 19
Therefore 379 is prime.

I've identified 179 and 379 as prime numbers containing "79".\
"""
                        ),
                        Text(text="3"),
                    ],
                    provider="anthropic",
                    model_id="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. Numbers below 400 that contain "79":
- 79 (just "79")
- 179 (contains "79")
- 279 (contains "79") \n\
- 379 (contains "79")
- 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (but these are all ≥ 790, so they're all above 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
7+9 = 16, not divisible by 3
Doesn't end in 0 or 5, so not divisible by 5
79 ÷ 7 = 11.28..., so not divisible by 7
Therefore 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, not divisible by 3
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
Therefore 179 is prime.

279: I'll systematically test 279's primality by checking divisibility by small prime numbers.
279 is odd, so not divisible by 2
2+7+9 = 18, which is divisible by 3
279 ÷ 3 = 93
So 279 = 3 × 93, therefore 279 is not prime.

379: I'll methodically verify 379's primality by testing divisibility up to its square root.
√379 ≈ 19.5, so I need to check divisibility by primes up to 19: 2, 3, 5, 7, 11, 13, 17, 19
379 is odd, so not divisible by 2
3+7+9 = 19, not divisible by 3
Doesn't end in 0 or 5, so not divisible by 5
379 ÷ 7 = 54.14..., so not divisible by 7
379 ÷ 11 = 34.45..., so not divisible by 11
379 ÷ 13 = 29.15..., so not divisible by 13
379 ÷ 17 = 22.29..., so not divisible by 17
379 ÷ 19 = 19.95..., so not divisible by 19
Therefore 379 is prime.

I've identified 179 and 379 as prime numbers containing "79".\
""",
                                "signature": "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",
                            },
                            {"type": "text", "text": "3"},
                        ],
                    },
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                    content=[
                        Text(
                            text="If you remember what the primes were, then share them, or say 'I don't remember.'"
                        )
                    ]
                ),
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                    content=[Text(text="I don't remember.")],
                    provider="anthropic",
                    model_id="claude-sonnet-4-0",
                    raw_message={
                        "role": "assistant",
                        "content": [{"type": "text", "text": "I don't remember."}],
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            "tools": [],
            "n_chunks": 3,
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)
