{ "model": "claude-sonnet-4-20250514", "max_tokens": 16000, "thinking": { "type": "enabled", "budget_tokens": 10000 }, "messages": [ { "role": "user", "content": "Are there an infinite number of prime numbers such that n mod 4 == 3?" } ]}
{ "messages": [ { "role": "user", "content": "Are there an infinite number of prime numbers such that n mod 4 == 3?" }, { "role": "assistant", "content": "Yes, there are infinitely many prime numbers such that n ≡ 3 (mod 4).\n\nThis is a classic theorem in number theory, and here's a proof…", "reasoning_content": "This is asking about whether there are infinitely many prime numbers that are congruent to 3 modulo 4, i.e., primes of the form 4k + 3.\n\nLet me think about this systematically. First…", "thinking_blocks": [ { "type": "thinking", "thinking": "This is asking about whether there are infinitely many prime numbers that are congruent to 3 modulo 4, i.e…", "signature": "EswgCkYIBhgCKkDCG…" } ], "tool_calls": [] } ]}