man > openssl-prime(1)

TLDR: openssl-prime (tldr-pages)

Compute prime numbers.

  • Generate a 2048bit prime number and display it in hexadecimal
    openssl prime -generate -bits 2048 -hex
  • Check if a given number is prime
    openssl prime {{number}}
OPENSSL-PRIME(1SSL)                            OpenSSL                           OPENSSL-PRIME(1SSL)

NAME
       openssl-prime - compute prime numbers

SYNOPSIS
       openssl prime [-help] [-hex] [-generate] [-bits num] [-safe] [-provider name] [-provider-path
       path] [-propquery propq] [-checks num] [number ...]

DESCRIPTION
       This command checks if the specified numbers are prime.

       If no numbers are given on the command line, the -generate flag should be used to generate
       primes according to the requirements specified by the rest of the flags.

OPTIONS
       -help
           Display an option summary.

       -hex
           Generate hex output.

       -generate
           Generate a prime number.

       -bits num
           Generate a prime with num bits.

       -safe
           When  used  with  -generate, generates a "safe" prime. If the number generated is n, then
           check that "(n-1)/2" is also prime.

       -provider name
       -provider-path path
       -propquery propq
           See "Provider Options" in openssl(1), provider(7), and property(7).

       -checks num
           This parameter is ignored.

COPYRIGHT
       Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.

       Licensed under the Apache License 2.0 (the "License").  You may not use this file  except  in
       compliance  with  the  License.   You  can  obtain  a  copy in the file LICENSE in the source
       distribution or at <https://www.openssl.org/source/license.html>.

3.0.13                                       2026-07-29                          OPENSSL-PRIME(1SSL)

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