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https://github.com/skyf0l/RsaCracker

Powerful RSA cracker for CTFs. Supports RSA, X509, OPENSSH, PKCS#12, PKCS#7, and CSR in PEM and DER formats.
https://github.com/skyf0l/RsaCracker

crypto cryptography ctf ctf-tools rsa

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Powerful RSA cracker for CTFs. Supports RSA, X509, OPENSSH, PKCS#12, PKCS#7, and CSR in PEM and DER formats.

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# RSA Cracker

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[![Crate.io](https://img.shields.io/crates/v/rsacracker.svg)](https://crates.io/crates/rsacracker)
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[![codecov](https://codecov.io/gh/skyf0l/rsacracker/branch/main/graph/badge.svg)](https://codecov.io/gh/skyf0l/rsacracker)

Powerful RSA cracker for CTFs. Supports RSA, X509, OPENSSH, PKCS#12, PKCS#7, and CSR in PEM and DER formats.

RsaCracker provides a simple, extensible interface to analyze and recover RSA private keys and to uncipher messages using a large collection of targeted attacks and heuristics.

## TLDR - Quick start
- Install: `cargo install rsacracker`
- Crack a public key: `rsacracker --key public.pem --dump`
- Uncipher a ciphertext: `rsacracker --key public.pem -c 0xdeadbeef`
- Uncipher a file: `rsacracker --key public.pem -f 0xdeadbeef -o result.bin`

NOTE: To build on windows, you need to use [MSYS2](https://www.msys2.org/). This is required because of the [rug](https://crates.io/crates/rug) dependency. See [building-on-windows](https://gitlab.com/tspiteri/gmp-mpfr-sys#building-on-windows) for more information.

## Usage

```text
Powerful RSA cracker for CTFs. Supports RSA, X509, OPENSSH, PKCS#12, PKCS#7, and CSR in PEM and DER formats.

Usage: rsacracker [OPTIONS]

Options:
-r, --raw Retrieve values from raw file
-c, --cipher Cipher: the message to uncipher. Can be specified multiple times for multi-key attacks
-f, --cipherfile Cipher file: the file to uncipher. Can be specified multiple times for multi-key attacks
-o, --outfile Write unciphered data to a file. If many unciphered data are found, they will be written to files suffixed with _1, _2, ...
-n Modulus. Can be specified multiple times for multi-key attacks
-e Public exponent. Default: 65537. Can be specified multiple times for multi-key attacks
-p

Prime number p (supports wildcards: 0xDEADBEEF????, 10737418??, 0x...C0FFEE, 0xDEADBEEF..., etc.)
-q Prime number q (supports wildcards: 0x????C0FFEE, ??741827, 0x...C0FFEE, 0xDEADBEEF..., etc.)
-d Private exponent
--phi Phi or Euler's totient function of n. (p-1)(q-1)
--dp dP or dmp1 CRT exponent. (d mod p-1)
--dq dQ or dmq1 CRT exponent. (d mod q-1)
--qinv qInv or iqmp CRT coefficient. (q^-1 mod p)
--pinv pInv or ipmq CRT coefficient. (p^-1 mod q)
--sum-pq The sum of the two primes p and q
--diff-pq The difference of the two primes p and q
--dlog Discrete logarithm attack. When c and e are swapped in the RSA encryption formula. (e^c mod n)
-k, --key Public or private key file(s). (RSA, X509, OPENSSH, PKCS#12, PKCS#7, CSR in PEM and DER formats.) Can be specified multiple times for multi-key attacks
--password Private key password/passphrase if encrypted
--public Print the public key in PEM format
--private Print the private key in PEM format
--addpassword Add a password/passphrase to the private key
--showinputs Print all the input parameters
--dump Print the private RSA key variables n, e, p, q and d
--dumpext Print the extended RSA key variables n, e, p, q, d, dP, dQ, pInv and qInv
--factors Print all factors of n
-t, --threads Number of threads to use. Default: number of CPUs
-a, --attack Specify attacks to run. Default: all. (e.g. --attacks ecm,wiener,sparse)
--exclude Specify attacks to exclude. Default: none. (e.g. --exclude ecm,wiener,sparse)
--list List all available attacks
-h, --help Print help
-V, --version Print version
```

You can also use a dump as input:

```console
$ rsacracker [OPTIONS] < challenge.txt
[RESULTS]
$ cat challenge.txt | rsacracker [OPTIONS]
[RESULTS]
$ cat challenge.txt
c: 7839407718[...]0577093673
n = 9359619564[...]3745124619
e= 1595235523[...]6275096193
```

## Examples

### Uncipher a message from a public key and write it to a file

```console
rsacracker --key public.pem -c 0xdeadbeef -o result.txt
```

### Uncipher a message from n and e

```console
rsacracker -c 0xdeadbeef -n 123...789 -e 65537
```

### Uncipher a message from n, e and other known values

```console
rsacracker -c 0xdeadbeef -n 123...789 -e 65537 --phi 123 --dp 123 --dq 123 --qinv 123 --pinv 123
```

### Uncipher a file from a public key

```console
rsacracker --key public.pem -f secret.txt.enc
```

### Recover private key from partial prime information

When you know some bits/digits of a prime (MSB or LSB), you can use wildcards (`?`) in binary, octal, decimal, or hexadecimal notation:

```console
# Binary: MSB known (trailing wildcards)
rsacracker -n 123...789 -p 0b1101010???

# Octal: LSB known (leading wildcards)
rsacracker -n 123...789 -p 0o???777

# Decimal: MSB known (trailing wildcards)
rsacracker -n 2305843027467304993 -p 10737418??

# Decimal: LSB known (leading wildcards)
rsacracker -n 123...789 -p ??741827

# Hexadecimal: MSB known (trailing wildcards)
rsacracker -n 123...789 -p 0xDEADBEEF????

# Hexadecimal: LSB known (leading wildcards)
rsacracker -n 123...789 -p 0x????C0FFEE
```

Each `?` represents one digit in the specified radix.

You can also use ellipsis (`...`) when the unknown length should be inferred from the modulus size:

```console
# Hexadecimal: LSB known (MSB length inferred)
rsacracker -n 123...789 -p 0x...C0FFEE

# Hexadecimal: MSB known (LSB length inferred)
rsacracker -n 123...789 -p 0xDEADBEEF...
```

### Run a specific attack with arguments

```console
rsacracker --attack known_phi -n 123...789 -e 65537 --phi 0xdeadbeef
```

### Generate a private key from a public key

```console
rsacracker --key public.pem --private
```

### Generate a public key from e and n

```console
rsacracker -e 65537 -n 0xdeadbeef --public
```

### Dump private key secrets

```console
rsacracker --key private.pem --dump
$ rsacracker --key private.pem --dumpext
```

### Remove password from a private key

```console
rsacracker --key private.pem --password R54Cr4ck3R --private
```

### Add password to a private key

```console
rsacracker --key private.pem --addpassword R54Cr4ck3R --private
```

### Show all factors of n

```console
rsacracker -n 123...789 --factors
```

### Run discrete logarithm attack: when c and e are swapped in the RSA encryption formula (e^c mod n)

```console
rsacracker --key public.pem -c 0xdeadbeef --dlog
```

### Multi-key attacks

RsaCracker supports attacks that require multiple RSA keys. You can provide multiple keys in several ways:

**Method 1: Via raw file with indexed notation**

```console
# Create a file with multiple keys (multikeys.txt)
# Common factor attack - when two keys share a common prime
n1 = 166162630914502531310583922419891282066165820974633135604215723500594369488785155668770814942798477925368262423257419073645831352835527789101770856835355683177962166057699839663569971312562086050531058716298108813024798653596850452010850976880829077654912494652271256054564920903881745267063001869548202922099
e1 = 65537
c1 = 123

n2 = 148455898656074447797752378503069279028991863906908832057033693077681993859745690328279867444062926638337203683279627319119630089306918893030699950731547426066997479055479829293964341682216330844958953722765260947532634616964944677851975839768164255655099799121904635086103339949975609477039895462111764318783
e2 = 65537

# Run the attack
rsacracker --raw multikeys.txt
```

**Method 2: Via multiple --key parameters**

```console
# Provide multiple key files directly via CLI
rsacracker --key key1.pem --key key2.pem --dump

# Works with any combination of key files
rsacracker --key public1.pem --key public2.pem --key public3.pem
```

**Method 3: Via multiple -n parameters**

```console
# Provide multiple moduli directly for common factor attacks
rsacracker -n 166209509310787961... -n 137801924148643799... --dump

# Can combine with other parameters
rsacracker -n 123456... -n 789012... -e 65537
```

**Method 4: Via multiple -c and -e parameters**

```console
# Common modulus attack with multiple ciphertexts and exponents
rsacracker -n 166270918338126577... -e 65537 -e 65539 -c 136917880321258914... -c 46689866063983112...

# Hastad's broadcast attack with multiple n, e, and c
rsacracker -n 123... -n 456... -n 789... -e 3 -c 100... -c 200... -c 300...
```

## Docker

From dockerhub:

```console
docker pull skyf0l/rsacracker
docker run -it --rm -v $PWD:/data skyf0l/rsacracker [args]
```

Or build it yourself:

```console
DOCKER_BUILDKIT=1 docker build . --file Dockerfile -t rsacracker
docker run -it --rm -v $PWD:/data rsacracker [args]
```

## License

Licensed under either of

- Apache License, Version 2.0
([LICENSE-APACHE](LICENSE-APACHE) or )
- MIT license
([LICENSE-MIT](LICENSE-MIT) or )

at your option.

## Contribution

Unless you explicitly state otherwise, any contribution intentionally submitted
for inclusion in the work by you, as defined in the Apache-2.0 license, shall be
dual licensed as above, without any additional terms or conditions.