Master the Primes.
Dominate the Olympiad.
A high-velocity mathematical training arena engineered for Math Olympiad competitors. Decompose composite integers at cognitive peak speed under strict competitive constraints.
The 6 Ranks of the Verdict
Competitive outcomes are analyzed across six standardized Math Olympiad tiers based on initial precision, lifeline reliance, overtime recovery, and net session points.
Quantum Decomposer
"Absolute mastery. Achieved perfect factorization under the strict initial clock with zero assistance, running at sub-second cognitive speeds."
Algorithmic Strategist
"Elite problem solver. Cleared the board by tactically deploying pauses, hints, or navigating the high-pressure second chance overtime loop."
Cadence Analyst
"Strong competitor. Demonstrates high mental cadence and calculation accuracy, successfully neutralizing mistakes."
Modular Operator
"Capable practitioner. Comfortably navigates textbook ranges and standard number fields, actively improving speed."
Factor Initiate
"Developing foundation. Actively building basic divisibility intuition and mental heuristics inside the system."
Matrix Reset
"Tactical calibration required. Breached basic bounds. The engine recommends reviewing the Edu page's sandbox before relaunching."
👑 The 12‑Tier Competitive Hierarchy Matrix
This ladder governs all automated matchmaking limits, profile displays, clipboard strings, and the Asymmetric Tier‑Banning Firewall across the platform.
Nebula Pink · Cyber Glow
"Absolute apex. Only Unrated practice allowed below this ceiling to prevent point‑farming."
Crimson Scarlet · Pulse Glow
"Transcendental mastery. Rated play restricted to higher strata only."
Electric Cyan
"Canonical insight anchors this echelon. Competitors here demonstrate mastery of structural decomposition, sustaining accuracy under accelerated time constraints."
Vibrant Violet
"Cryptographic resilience defines this tier. Competitors here thrive on decoding complexity and safeguarding precision under pressure."
Laser Amber
"Sentinel guardianship with Eulerian precision. This tier reflects disciplined calculation and a watchful eye over every numeric pathway."
Cobalt Blue
"Competitors must sustain rhythm. The logarithmic curve enforces balance, penalizing inconsistency while rewarding steady cadence."
Deep Jade
"Strategic depth anchors this tier. Players here excel at resource management and calculated risk‑taking."
Mint Green
"Operator tier with modular adaptability. Competitors here begin to master flexible approaches and structured number fields."
Muted Platinum
"Scholarship and radix mastery define this tier. Competitors here are consolidating their theoretical base while sharpening applied skills."
Polished Bronze
"Calibration tier. Bronze precision anchors sieve‑based progression. Competitors here are stabilizing their fundamentals, preparing to ascend into higher analytical ranges."
Slate Gray
"Apprentice tier. The official entry point for all new competitors."
Chalk White
"Foundry tier. Serves as the stabilizing base when streaks or security triggers collapse ELO."
The Official 8-Point Scoring Matrix
A transparent risk-reward engine. Speed and unassisted accuracy maximize marks, while tactical lifelines, retries, and errors carry strictly audited point adjustments.
1. First Attempt Success
Clean, unassisted submission on the first pass adds +10 points to net score.
2. Second Chance Success
Retrying first-attempt errors or skips during the redemption loop adds +5 points.
3. Standard Errors & Skips
-2 points for first-attempt misses; -5 points for second chance overtime misses.
4. Hint-Assisted Submissions
+5 on 1st attempt solve; +2 on 2nd attempt solve; -5 points for any error or skip with hint active.
5. Tactical Timer Pauses
Activating a 5-second countdown halt lifeline deducts -2 points (max 2 per exam).
6. Question Regeneration
Rerolling a composite integer deducts -2 points (max 1; strictly locked during overtime).
7. The 3-Strike Penalty
Deducts an additional -10 points for every cumulative triplet (at 3, 6, 9 mistakes/skips).
8. Early Termination
Voluntarily exiting before completion via "End Exam" inflicts an immediate -5 point penalty.
9. Time-Extension Lock
Adds +30s to countdown timer. Maximum 1 usage. Deducts -3 points and dampens ELO by 2%.
10. Noise Elimination Filter
Eliminates invalid prime factors under input field. Maximum 2 usages, strictly 1 per question.
11. Factor Breakdown Sandbox
Spawns 5s structural scratchpad overlay on screen. Self-destructs instantly. Deducts -5 points.
The Instant Randomizer
Bypass decision fatigue. Click the randomized terminal to engage a GSAP slot-machine roll and immediately launch an arena.
Pulls randomly across all 9 competition tiers and applies global session rules automatically.
The Range Portal
Quickly browse and access the standard competition tiers from micro foundations to 50,000+ prime manifolds.
Local Settings Node
Directly adjust session rules without opening modals. Preferences persist immediately in local storage.
Personal Record & Streaks
Your telemetry tracked exclusively in browser memory. Zero external tracking or database overhead.
Exams Completed
All-Time High Score
Best Win Streak
Decomposition Accuracy
Prime Playground
Type any integer. The browser executes Pollard's Rho algorithm with Brent's cycle detection in milliseconds.
Olympiad Strategy Blueprint
Essential cognitive shortcuts used by national Math Olympiad champions to factor large composites in seconds.
Parity & Modulo 5 Isolation
Always strip all factors of 2 and 5 immediately by inspecting the last digit. Repeated division reduces composite magnitude exponentially.
Sum of Digits & Modulo 9
Compute the digital sum: if the sum of digits is a multiple of 9, the number is divisible by 3² = 9. If divisible by 3, extract 3 and evaluate the quotient immediately.
Difference of Squares: a² - b²
For odd composites, check if N + b² = a². For example, 899 = 900 - 1 = 30² - 1² = 29 × 31. Many Olympiad problems disguise factors via nearby perfect squares.
Alternating Digit Sum (Mod 11)
Calculate alternating sum of digits: d₀ - d₁ + d₂ - d₃.... If the result is a multiple of 11 (including 0), 11 divides the integer cleanly without remainder.
Truncation & Factor 7 / 13
For 7: Double the last digit and subtract from the rest (Rest - 2×Last). For 13: Multiply last digit by 4 and add to the rest (Rest + 4×Last).
Pollard's Polynomial Intuition
When human mental bounds are exceeded, computer engines use f(x) = (x² + 1) mod n. The birthday paradox guarantees cycle collisions in O(p^0.5) steps.
Platform Authenticity & Integrity
Engineered to run purely in browser runtime. 100% serverless, zero telemetry leaks, zero tracking cookies.
Ready for the Competitive Exam?
Test your prime factorization cognitive speed under the strict 180-second clock with live 3-strike rules and redemption tracking.
Select Your Competition Tier