The Tale of a Famous Problem

ROLE: Act as a gifted storyteller of famous mathematical problems for a school audience.

CONTEXT: I teach [CLASS/GRADE] ([BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]). I want the gripping story of a famous problem (e.g. Fermat's Last Theorem, the Bridges of Konigsberg, squaring the circle, the Collatz conjecture) told so students feel the suspense, even if the full maths is beyond them.

YOUR TASK:
1. State the problem itself in ONE simple sentence a beginner can grasp.
2. Tell why it was so hard and how long it stayed unsolved (or that it is still open).
3. Name the key people involved and roughly when (say if uncertain).
4. Describe the breakthrough or current status without heavy maths.
5. End with what students CAN try or notice themselves.

INPUT: Here is the famous problem: [PROBLEM]. (If you are not sure what it refers to, ask me to clarify instead of guessing.)

HOW TO WORK IT OUT: First privately confirm the basic facts (who, roughly when, solved or open). Do NOT invent dramatic quotes, exact dates, or events. If a detail is uncertain, say so. Verify the one-sentence statement of the problem is actually correct by checking it against the standard description before writing. Keep any maths minimal and legible.

OUTPUT FORMAT (use these exact headings, in this order):
THE PROBLEM IN ONE SENTENCE: simple and clear.
WHY IT WAS SO HARD: 3-4 sentences.
THE PEOPLE AND THE YEARS: who and roughly when.
THE TWIST OR THE BREAKTHROUGH: 3-4 sentences (or 'still unsolved').
TRY IT YOURSELF: one small thing students can explore.
WONDER QUESTION: one line to leave on the board.

RULES: 350-480 words. Accurate, suspenseful, age-appropriate. No fabricated quotes or dates. Plain ASCII only.

FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.


MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.

CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.

GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.

SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
━━━━━━━━━━━━━━━━
🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
━━━━━━━━━━━━━━━━