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How many combinations of 14 digit passwords are there and how lon

2024-09-05 13:22:52

Today I met a customer who said that he had a password to crack, which was not particularly complicated, just 14 digits, and asked me if I could get it for 50 yuan? I was shocked to hear it, and told me that it was still random to crack the 14-digit number, and after listening to it, I felt that it was simply astronomical, and it was impossible to solve it, so I gave a fee of 50 yuan, and I didn't want to run the dictionary. I decisively rejected this order, and then the customer scolded and said that we couldn't do dirty words and didn't write it out, saying that our peers had 18-digit unraveling, so write a popular science + complaining article


How many 14-digit password combinations are there?


To calculate the number of all possible combinations of a 14-digit password, you first need to identify the following factors:

  1. Character set size: The possible character set of the password (for example: numbers, lowercase letters, uppercase letters, special characters, etc.).

I'll break down a few common character set cases to calculate below:

1. Numbers only (0-9)

The numeric character set has 10 characters (0 to 9).

The total number of combinations is:

1014=100,000,000,000,00010^{14} = 100,000,000,000,0001014=100,000,000,000,000

That is, 100 trillion possible cryptographic combinations.

2. Lowercase letters only (a-z)

The lowercase letter character set has 26 characters.

The total number of combinations is:

2614≈6.7×101926^{14} \approx 6.7 \times 10^{19}2614≈6.7×1019

That's about 6.7 billion billion possible cryptographic combinations.

3. Uppercase letters only (A-Z)

The uppercase character set has 26 characters.

The total number of combinations is the same as the lowercase letters, which is:

2614≈6.7×101926^{14} \approx 6.7 \times 10^{19}2614≈6.7×1019

That's about 6.7 billion billion possible cryptographic combinations.

4. Mixed uppercase and lowercase letters (a-z, A-Z)

The mixed-case character set has 52 characters (26 lowercase letters + 26 uppercase letters).

The total number of combinations is:

5214≈5.9×102352^{14} \approx 5.9 \times 10^{23}5214≈5.9×1023

That's about 5,900 trillion possible cryptographic combinations.

5. Numbers + lowercase letters + uppercase letters (0-9, a-z, A-Z)

The character set size is 62 characters (10 numbers + 26 lowercase letters + 26 uppercase letters).

The total number of combinations is:

6214≈3.5×102462^{14} \approx 3.5 \times 10^{24}6214≈3.5×1024

That's about 35 billion trillion possible password combinations.

6. Numbers + Uppercase and lowercase letters + special characters (0-9, a-z, A-Z, special characters)

Let's assume that a special character set has 32 commonly used characters (e.g., etc.), and the total character set size is 94 characters (10 numbers + 26 lowercase letters + 26 uppercase letters + 32 special characters).!@#$%^&*()

The total number of combinations is:

9414≈3.8×102694^{14} \approx 3.8 \times 10^{26}9414≈3.8×1026

That's about 38 billion trillion billion possible cryptographic combinations.

summary

At our current speed, we can't solve it until the destruction of the earth! RAR format compressed package, our server 10 tens of thousands of devices, is more than 1 million per second

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