Password Generator
The Password Generator creates a random password using the selected length and character options. Longer passwords drawn from a larger character set usually have a larger theoretical search space, but secure generation and storage practices matter too.
How to use this calculator
- Select length and character types, generate a password, and store it in a reputable password manager rather than reusing it.
- Review the worked character-set size and compare its arithmetic with the inputs you plan to use.
- Change one input at a time when exploring a different scenario, and keep units and assumptions consistent.
Theoretical search space
For independent uniformly random characters, possible strings = character-set size^length; approximate entropy in bits = length × log2(character-set size).
- Theoretical search space assumes uniform random selection and no predictable patterns. Entropy estimates do not replace a secure random generator or safe account recovery settings.
- The page's numerical output is calculated from the values entered; it does not independently verify whether those inputs fit the real-world situation.
Worked examples
Character-set size
A random 12-character password from 62 possible characters has a search space of 62^12 possible strings under the uniform model.
For this example, 62^12 is approximately 3.23 × 10^21 possible strings if each character is chosen uniformly and independently.
More length and a larger allowed character set increase the number of possible strings.
Understanding the result
Length generally contributes strongly to the theoretical number of possible passwords.
Password strength can be reduced by reuse, phishing, malware, predictable patterns, or insecure storage.
Important notes
Use unique passwords for each account and enable multi-factor authentication where available.
Displayed values may be rounded for readability. Keep appropriate precision for intermediate calculations and check the unit labels before using the result.
Frequently asked questions
What does the Password Generator result mean?
Length generally contributes strongly to the theoretical number of possible passwords.
What should I check before using the password generator?
Use unique passwords for each account and enable multi-factor authentication where available.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
- How to Calculate Percent Error — Learn the percent error formula and how to compare an experimental value with a reference or accepted value.
This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.