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Strong Password Generator: Create Hard-to-Crack Passwords

Updated · Standard formula, shown below

The calculator for this page is switched off while it is checked. The formula is below, and the worked example in the article shows how to use it by hand.

Strong Password Generator: Create Hard-to-Crack Passwords

This tool generates strong, random passwords that are difficult to crack by brute force or dictionary attacks. You choose the length and character types, and it returns a unique password with an estimated entropy score. The calculator uses a cryptographically secure random number generator available in your browser to ensure the result is not predictable.

Formula

The strength of a randomly generated password is measured by its entropy, expressed in bits. The formula is:

Entropy (bits) = Length × log₂(Number of possible characters)

Where:

  • Length = number of characters in the password (e.g., 16)
  • Number of possible characters = size of the character pool you selected:
    • Lowercase only: 26
    • Lowercase + Uppercase: 52
    • + Digits: 62
    • + Symbols: 94 (typical printable ASCII)

Each bit of entropy doubles the number of guesses an attacker must try. A password with 80 bits of entropy is considered strong for most purposes; 128 bits is effectively uncrackable by brute force.

Worked Example

Using the default settings: length = 16, all four character sets (94 possible characters).

  1. Calculate log₂(94): log₂(94) ≈ 6.554
  2. Multiply by length: 16 × 6.554 ≈ 104.9 bits

The calculator shows 104 bits of entropy. A password with this entropy would require roughly 2^104 guesses to crack by brute force — a number so large it is impractical even for a supercomputer.

Why Randomness Matters More Than Complexity

Many people think adding a “1!� to the end of a common word makes it secure. It does not, because attackers use dictionary attacks that try combinations of known words, common substitutions, and typical patterns. A password like “Tr0ub4dor&3� looks complex but has far less entropy than a shorter random string like “x9#Kp2$vLmQ7�.

Randomness means each character is chosen independently from the full set. This eliminates patterns that humans naturally use — names, dates, keyboard sequences — which attackers exploit. A truly random password has no structure to guess.

How to Use the Generator

  1. Choose a length. 16 characters is a good minimum for most accounts; 20+ for sensitive ones like banking or email.
  2. Select character sets. Including all four (lowercase, uppercase, digits, symbols) maximizes the pool.
  3. Click generate. The password appears instantly.
  4. Copy it to your password manager. Never type it manually into a website that isn’t your password manager.

If you need to memorize it, consider using a passphrase (e.g., “correct horse battery staple�) instead — but that is a different tool. This generator is for maximum security, not memorability.

Common Mistakes to Avoid

  • Reusing passwords across sites. If one site is breached, attackers try that password everywhere.
  • Using personal information like birthdays or pet names — easily found on social media.
  • Substituting characters in a word (“p@ssw0rdâ€�) — dictionary attacks include these variations.
  • Choosing a short password even if it has symbols. Length is the single biggest factor in entropy.
  • Storing passwords in plain text files or sticky notes. Use a reputable password manager.

How Password Cracking Works

Attackers steal hashed password databases and then try to guess the original passwords. They use:

  • Brute force: trying every possible combination, starting with short ones.
  • Dictionary attacks: trying words from a list, including leaks and common passwords.
  • Hybrid attacks: dictionary words with numbers/symbols appended.
  • Rainbow tables: precomputed hashes for common passwords (mitigated by salting).

Modern GPUs can try billions of guesses per second. A 10-character lowercase-only password (47 bits) can be cracked in minutes. A 16-character random password with all sets (104 bits) would take longer than the age of the universe with current hardware.

Comparing Password Managers vs. Memory

For most people, the practical solution is a password manager that stores all your random passwords and auto-fills them. You only need to remember one master password. This is safer than trying to memorize dozens of unique random strings.

If you refuse to use a manager, generate a passphrase of 4-6 random words (e.g., “glacier‑walnut‑orbit‑kite�) which is easier to remember but still strong — provided the words are chosen randomly, not by you.

Frequently Asked Questions

How long should my password be?

For most accounts, 16 characters is a solid minimum. For critical accounts (email, banking), use 20 or more. Each additional character multiplies the cracking difficulty by the size of the character pool (e.g., 94 times for each extra symbol).

Is it safe to use an online generator?

Yes, if the generator runs entirely in your browser (like this one) and does not send your password over the internet. Check that the page uses HTTPS and that the code is transparent. Avoid generators that require you to create an account or that display ads that could capture your keystrokes.

What is entropy and why does it matter?

Entropy is a measure of unpredictability in bits. Each bit means the attacker has to double their guesses. Higher entropy = harder to crack. Randomness is what creates entropy; human-chosen passwords have far less entropy than they appear.

Should I use symbols if they’re hard to type?

Symbols add to the character pool, which increases entropy per character. However, if you use a password manager, symbols are no problem. If you must type the password manually on a phone, you might prefer a longer passphrase without symbols — length can compensate.

Can I reuse a strong password on multiple sites?

No. If any site is breached, the attacker will try that password on your email, banking, and social media accounts. A unique password per site is essential, even if each one is strong.

How often should I change my passwords?

Only when you suspect a breach or when the service tells you to. Frequent forced changes often lead to weaker passwords. Using unique, random passwords and enabling two-factor authentication is more important than periodic changes.

Related

Formula used
in len | Password length | chars | 16 | 4
in sets | Character sets | Lowercase=1, +Uppercase=2, +Digits=3, +Symbols=4 | 4 | 1
out entropy | Entropy | bits | len * log2(sel) | 0
out password | Generated password | - | - | 0

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.