βοΈ LIVE PROGRESSION SIMULATOR
π LIVE COMPUTATIONAL FORMULA STEP-LOG
π RANK ACCRUAL GAP MAP
Baseline rankings thresholds used for standard matching comparisons vs Zen thresholds.
π GAMEPLAY ENGINE FORMULAS
The mechanical pacing of PrimeRush is driven by deterministic, stage-aware exponential and algebraic curves. Standard gameplay leverages segmented phases to ramp up numerical factor limits, whereas Zen Practice scaling operates on a smooth, custom exponential tier multiplier.
1. Classic Mode Points Calculation
The primary core points earned per prime factorization decay proportionally against elapsed time. It is driven by a sub-linear power equation of t^0.55, rewarding instant reactions heavily while preserving a respectable baseline for steady mathematical solvers:
Points = β10 Γ Difficulty Γ (TimeRatio)^0.55β
Where TimeRatio represents the remaining percentage of the active timer bar ($1.0 \to 0.0$).
2. Standard Progression Phases
Standard mode calculations segment gameplay based on n (total numbers defeated):
β Phase 1 (n β€ 15 Numbers Defeated):
Spawns elements of pool [2, 3, 5, 7]
Difficulty (Scaling): D(n) = 1 + 0.02n
Spawn Cap: Cap(n) = 100 Γ 1.1^n
Max Time: Time(n) = 8.5s + 0.1n
β Phase 2 (15 < n β€ 30):
Spawns elements of pool [2, 3, 5, 7, 11, 13]
Difficulty (Scaling): D(n) = 0.7 + 0.04n
Spawn Cap: Cap(n) = 50 Γ 1.1^n
Max Time: Time(n) = 7.0s + 0.2n
β Phase 3 (n > 30):
Spawns elements of pool [2, 3, 5, 7, ... 19, 23]
Difficulty (Scaling): D(n) = -1.1 + 0.1n
Spawn Cap: Cap(n) = 0.35 Γ 1.25^n
Max Time: Time(n) = 13s + 0.5β(n - 30)
3. Zen Practice Mode Calculations
Zen Mode avoids temporal decay completely. To balance difficulty increments, it implements a tier-based scaling curve:
Base Spawn Cap = 100
Zen Cap(Tier) = 100 Γ (1.25^5)^(Tier - 1)
Point Factor = β10 Γ Tierβ
Each difficulty level scales the overall numeric factor envelope by approximately ~3.05x compared to the previous Tier, capping at Tier 20 (Cap β 193,428,145).
π¬ ZEN PRACTICE POOL ALIGNMENTS
SPAWNING CAPS SCALING METRIC
Comparing Classic Progression (n) limits against Zen Tier limits (Logarithmic Comparison)
β‘ POINT DECAY VS. TIME ELAPSED
Shows how point rewards diminish as standard timer counts down on the sub-linear curve.
β³ ALLOCATED TIME SCALE BY PHASE
Demonstrates why high-phase limits grant longer timers for complex numbers.
π CLASSIC MODE PAYOUT MATRIX
Detailed computational overview of spawning, difficulty metrics, and relative score outputs across 60 progression stages.
| Defeated (n) | Spawn Cap | Difficulty | Max Time | Payout 100% | Payout 75% | Payout 50% | Payout 25% |
|---|