Hash Collision Probability
Calculator

Inputs

Collision probability (%)
1.157403

Results

Collision probability (%)
1.157403
Hash space size
4,294,967,296
Items for 50% collision odds
77,162.743235

Computing results

Collision probability (%)1.157403
Hash space size4,294,967,296
Items for 50% collision odds77,162.743235

formula-map diagram

Collision probability (%)
1.157403
Hash space size
4,294,967,296
Items for 50% collision odds
77,162.743235

Computing relationship

Formula

p ≈ 1 − e^(−n² ÷ 2m), m = 2^bits

= 1.1574031737031

Note

This is a simplified model: it applies the standard computing formula to the numbers you entered and ignores protocol overhead, compression variability, retries, contention and other real-world effects. Size your systems with measured data.

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