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RSA private key generation essentially involves the generation of two prime numbers. When generating a private key various symbols will be output to indicate the progress of the generation. Represents each number which has passed an initial sieve test, + means a number has passed a single round of the Miller-Rabin primality test.

Download and install the OpenSSL runtimes. If you are running Windows, grab the Cygwin package.

OpenSSL can generate several kinds of public/private keypairs.RSA is the most common kind of keypair generation.[1]

  1. Chapter 2 provides some theoretical background about RSA, public key en-cryption and the idea of provable security within a theoretic model (the random oracle model). Chapter 3 will then give an overview of the development and standardization process of RSA-PSS.
  2. RSA Signature Generation & Verification. The private key is the only one that can generate a signature that can be verified by the corresponding public key. The RSA operation can't handle messages longer than the modulus size. That means that if you have a 2048 bit RSA key, you would be unable to directly sign any messages longer than 256 bytes.

Other popular ways of generating RSA public key / private key pairs include PuTTYgen and ssh-keygen.[2][3]

Generate an RSA keypair with a 2048 bit private key[edit]

Execute command: 'openssl genpkey -algorithm RSA -out private_key.pem -pkeyopt rsa_keygen_bits:2048'[4] (previously “openssl genrsa -out private_key.pem 2048”)

e.g. Office 365 key activation.


Make sure to prevent other users from reading your key by executing chmod go-r private_key.pem afterward.

Extracting the public key from an RSA keypair[edit]

Execute command: 'openssl rsa -pubout -in private_key.pem -out public_key.pem'

e.g.

A new file is created, public_key.pem, with the public key.

It is relatively easy to do some cryptographic calculations to calculate the public key from the prime1 and prime2 values in the public key file.However, OpenSSL has already pre-calculated the public key and stored it in the private key file.So this command doesn't actually do any cryptographic calculation -- it merely copies the public key bytes out of the file and writes the Base64 PEM encoded version of those bytes into the output public key file.[5]

Viewing the key elements[edit]

Execute command: 'openssl rsa -text -in private_key.pem'

All parts of private_key.pem are printed to the screen. This includes the modulus (also referred to as public key and n), public exponent (also referred to as e and exponent; default value is 0x010001), private exponent, and primes used to create keys (prime1, also called p, and prime2, also called q), a few other variables used to perform RSA operations faster, and the Base64 PEM encoded version of all that data.[6](The Base64 PEM encoded version of all that data is identical to the private_key.pem file).

Password-less login[edit]

Often a person will set up an automated backup process that periodically backs up all the content on one 'working' computer onto some other 'backup' computer.

Because that person wants this process to run every night, even if no human is anywhere near either one of these computers, using a 'password-protected' private key won't work -- that person wants the backup to proceed right away, not wait until some human walks by and types in the password to unlock the private key.Many of these people generate 'a private key with no password'.[7]Some of these people, instead, generate a private key with a password,and then somehow type in that password to 'unlock' the private key every time the server reboots so that automated toolscan make use of the password-protected keys.[8][3]

Further reading[edit]

  1. ↑Key Generation
  2. ↑Michael Stahnke.'Pro OpenSSH'.p. 247.
  3. ↑ ab'SourceForge.net Documentation: SSH Key Overview'
  4. ↑'genpkey(1) - Linux man page'
  5. ↑'Public – Private key encryption using OpenSSL'
  6. ↑'OpenSSL 1024 bit RSA Private Key Breakdown'
  7. ↑'DreamHost: Personal Backup'.
  8. ↑Troy Johnson.'Using Rsync and SSH: Keys, Validating, and Automation'.
  • Internet_Technologies/SSH describes how to use 'ssh-keygen' and 'ssh-copy-id' on your local machine so you can quickly and securely ssh from your local machine to a remote host.
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SYNOPSIS

opensslgenrsa [-outfilename] [-passoutarg] [-des] [-des3] [-idea] [-f4] [-3] [-randfile(s)] [numbits]

DESCRIPTION

The genrsa command generates an RSA private key.

Openssl Generate Rsa Pss Key Code

Options

-outfilename

specifies the output file name. If this argument is not specified then standard output is used.

-passout arg

specifies the output file password source. For more information about the format of arg see the PASS PHRASE ARGUMENTS section in the openssl reference page.

-des-des3-idea

These options encrypt the private key with the DES, triple DES, or the IDEA ciphers respectively before outputting it. If none of these options is specified no encryption is used. If encryption is used a pass phrase is prompted for if it is not supplied via the -passout argument.

-F4-3

Little snitch 3 license key generator mac. the public exponent to use, either 65537 or 3. The default is 65537.

-randfile(s)

a file or files containing random data used to seed the random number generator, or an EGD socket. Multiple files can be specified separated by a OS-dependent character. The separator is ; for MS-Windows, , for OpenVMS, and : for all others.

numbits

the size of the private key to generate in bits. This must be the last option specified. The default is 512.

NOTES

RSA private key generation essentially involves the generation of two prime numbers. When generating a private key various symbols will be output to indicate the progress of the generation. A . represents each number which has passed an initial sieve test, + means a number has passed a single round of the Miller-Rabin primality test. A newline means that the number has passed all the prime tests (the actual number depends on the key size).

Because key generation is a random process the time taken to generate a key may vary somewhat.

Openssl Generate Rsa Pss Key Download

BUGS

A quirk of the prime generation algorithm is that it cannot generate small primes. Therefore the number of bits should not be less that 64. For typical private keys this will not matter because for security reasons they will be much larger (typically 1024 bits).

AVAILABILITY

PTC MKS Toolkit for System Administrators
PTC MKS Toolkit for Developers
PTC MKS Toolkit for Interoperability
PTC MKS Toolkit for Professional Developers
PTC MKS Toolkit for Professional Developers 64-Bit Edition
PTC MKS Toolkit for Enterprise Developers
PTC MKS Toolkit for Enterprise Developers 64-Bit Edition

SEE ALSO

Commands:
openssl gendsa

Openssl Generate Rsa Certificate

PTC MKS Toolkit 10.2 Documentation Build 28.

Openssl Rsa Public Key