Gauntlet eval

Prompt

You are participating in a cognitive evaluation. Follow every constraint strictly. A single violation invalidates your response. ### PART 1: NOVEL RULE DEDUCTION In an alternate universe, a "Zorg" is defined by three rules: 1. It must be a prime number between 10 and 50. 2. When its digits are reversed, the new number must also be prime. 3. The sum of its digits must be an even number. Identify all valid Zorgs. Show your elimination process for every prime between 10 and 50. ### PART 2: COUNTERFACTUAL SYNTHESIS & RECURSIVE CONSTRAINTS Using ONLY the valid Zorgs you found in Part 1, assign each one to a fictional city name you invent. Write a 3-sentence historical summary of a trade war between these cities. STRICT FORMATTING & NEGATIVE CONSTRAINTS FOR PART 2: - You may NOT use the letter "e" (uppercase or lowercase) anywhere in Part 2. - Every sentence must have an exact word count equal to one of the valid Zorgs you found in Part 1 (use a different Zorg for each sentence). - Do not include numbers or digits (e.g., "13" or "thirteen") in the text of Part 2. ### PART 3: META-AUDIT & ERROR CORRECTION Audit your response to Part 2. Output a markdown table listing: 1. Each sentence from Part 2. 2. Its exact word count. 3. Confirmation of zero "e" characters. 4. If you violated any rule in Part 2, rewrite the failing sentence below the table so that it passes all rules, and re-verify it.