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Calcimator

Hash Collision Probability Calculator

Calculate hash collision probability using birthday paradox. Find collision probability and birthday bound for hash functions.

Inputs

bits

Results

Collision Probability

0%

Expected Collisions

0

Birthday Bound

400,651,869,298,001,200,000,000,000,000,000,000,000

Time to Collision0 days

Collision Probability

0%

Expected Collisions

0

Birthday Bound

400,651,869,298,001,200,000,000,000,000,000,000,000

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Hash Length — Hash output length in bits Accepts values from 64 bits to 512 bits (default: 256 bits).
  3. Number of Hashes — Number of hash values to compare Accepts values from 1 to 1,000,000,000,000,000 (default: 1,000,000).
  4. Hash Function — Hash function type Choose from: SHA-256 (256 bits), MD5 (128 bits), SHA-1 (160 bits). default: 0.
  5. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  6. Collision Probability — shown as a percentage. This is the primary result of this calculator.
  7. Expected Collisions — shown as a numeric value. This is the primary result of this calculator.
  8. Birthday Bound — shown as a numeric value. This is the primary result of this calculator.
  9. Time to Collision — shown as a numeric value.
  10. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula

P(collision) ≈ 1 - e^(-n²/(2×m))

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