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+.\" -*- mode: troff; coding: utf-8 -*-
+.\" Automatically generated by Pod::Man 5.0102 (Pod::Simple 3.45)
+.\"
+.\" Standard preamble:
+.\" ========================================================================
+.de Sp \" Vertical space (when we can't use .PP)
+.if t .sp .5v
+.if n .sp
+..
+.de Vb \" Begin verbatim text
+.ft CW
+.nf
+.ne \\$1
+..
+.de Ve \" End verbatim text
+.ft R
+.fi
+..
+.\" \*(C` and \*(C' are quotes in nroff, nothing in troff, for use with C<>.
+.ie n \{\
+. ds C` ""
+. ds C' ""
+'br\}
+.el\{\
+. ds C`
+. ds C'
+'br\}
+.\"
+.\" Escape single quotes in literal strings from groff's Unicode transform.
+.ie \n(.g .ds Aq \(aq
+.el .ds Aq '
+.\"
+.\" If the F register is >0, we'll generate index entries on stderr for
+.\" titles (.TH), headers (.SH), subsections (.SS), items (.Ip), and index
+.\" entries marked with X<> in POD. Of course, you'll have to process the
+.\" output yourself in some meaningful fashion.
+.\"
+.\" Avoid warning from groff about undefined register 'F'.
+.de IX
+..
+.nr rF 0
+.if \n(.g .if rF .nr rF 1
+.if (\n(rF:(\n(.g==0)) \{\
+. if \nF \{\
+. de IX
+. tm Index:\\$1\t\\n%\t"\\$2"
+..
+. if !\nF==2 \{\
+. nr % 0
+. nr F 2
+. \}
+. \}
+.\}
+.rr rF
+.\" ========================================================================
+.\"
+.IX Title "RSA_GENERATE_KEY 3ossl"
+.TH RSA_GENERATE_KEY 3ossl 2025-09-30 3.5.4 OpenSSL
+.\" For nroff, turn off justification. Always turn off hyphenation; it makes
+.\" way too many mistakes in technical documents.
+.if n .ad l
+.nh
+.SH NAME
+EVP_RSA_gen,
+RSA_generate_key_ex, RSA_generate_key,
+RSA_generate_multi_prime_key \- generate RSA key pair
+.SH SYNOPSIS
+.IX Header "SYNOPSIS"
+.Vb 1
+\& #include <openssl/rsa.h>
+\&
+\& EVP_PKEY *EVP_RSA_gen(unsigned int bits);
+.Ve
+.PP
+The following functions have been deprecated since OpenSSL 3.0, and can be
+hidden entirely by defining \fBOPENSSL_API_COMPAT\fR with a suitable version value,
+see \fBopenssl_user_macros\fR\|(7):
+.PP
+.Vb 2
+\& int RSA_generate_key_ex(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb);
+\& int RSA_generate_multi_prime_key(RSA *rsa, int bits, int primes, BIGNUM *e, BN_GENCB *cb);
+.Ve
+.PP
+The following function has been deprecated since OpenSSL 0.9.8, and can be
+hidden entirely by defining \fBOPENSSL_API_COMPAT\fR with a suitable version value,
+see \fBopenssl_user_macros\fR\|(7):
+.PP
+.Vb 2
+\& RSA *RSA_generate_key(int bits, unsigned long e,
+\& void (*callback)(int, int, void *), void *cb_arg);
+.Ve
+.SH DESCRIPTION
+.IX Header "DESCRIPTION"
+\&\fBEVP_RSA_gen()\fR generates a new RSA key pair with modulus size \fIbits\fR.
+.PP
+All of the functions described below are deprecated.
+Applications should instead use \fBEVP_RSA_gen()\fR, \fBEVP_PKEY_Q_keygen\fR\|(3), or
+\&\fBEVP_PKEY_keygen_init\fR\|(3) and \fBEVP_PKEY_keygen\fR\|(3).
+.PP
+\&\fBRSA_generate_key_ex()\fR generates a 2\-prime RSA key pair and stores it in the
+\&\fBRSA\fR structure provided in \fIrsa\fR.
+.PP
+\&\fBRSA_generate_multi_prime_key()\fR generates a multi-prime RSA key pair and stores
+it in the \fBRSA\fR structure provided in \fIrsa\fR. The number of primes is given by
+the \fIprimes\fR parameter.
+If the automatic seeding or reseeding of the OpenSSL CSPRNG fails due to
+external circumstances (see \fBRAND\fR\|(7)), the operation will fail.
+.PP
+The modulus size will be of length \fIbits\fR, the number of primes to form the
+modulus will be \fIprimes\fR, and the public exponent will be \fIe\fR. Key sizes
+with \fInum\fR < 1024 should be considered insecure. The exponent is an odd
+number, typically 3, 17 or 65537.
+.PP
+In order to maintain adequate security level, the maximum number of permitted
+\&\fIprimes\fR depends on modulus bit length:
+.PP
+.Vb 3
+\& <1024 | >=1024 | >=4096 | >=8192
+\& \-\-\-\-\-\-+\-\-\-\-\-\-\-\-+\-\-\-\-\-\-\-\-+\-\-\-\-\-\-\-
+\& 2 | 3 | 4 | 5
+.Ve
+.PP
+A callback function may be used to provide feedback about the
+progress of the key generation. If \fIcb\fR is not NULL, it
+will be called as follows using the \fBBN_GENCB_call()\fR function
+described on the \fBBN_generate_prime\fR\|(3) page.
+.PP
+\&\fBRSA_generate_key()\fR is similar to \fBRSA_generate_key_ex()\fR but
+expects an old-style callback function; see
+\&\fBBN_generate_prime\fR\|(3) for information on the old-style callback.
+.IP \(bu 2
+While a random prime number is generated, it is called as
+described in \fBBN_generate_prime\fR\|(3).
+.IP \(bu 2
+When the n\-th randomly generated prime is rejected as not
+suitable for the key, \fIBN_GENCB_call(cb, 2, n)\fR is called.
+.IP \(bu 2
+When a random p has been found with p\-1 relatively prime to \fIe\fR,
+it is called as \fIBN_GENCB_call(cb, 3, 0)\fR.
+.PP
+The process is then repeated for prime q and other primes (if any)
+with \fIBN_GENCB_call(cb, 3, i)\fR where \fIi\fR indicates the i\-th prime.
+.SH "RETURN VALUES"
+.IX Header "RETURN VALUES"
+\&\fBEVP_RSA_gen()\fR returns an \fIEVP_PKEY\fR or NULL on failure.
+.PP
+\&\fBRSA_generate_multi_prime_key()\fR returns 1 on success or 0 on error.
+\&\fBRSA_generate_key_ex()\fR returns 1 on success or 0 on error.
+The error codes can be obtained by \fBERR_get_error\fR\|(3).
+.PP
+\&\fBRSA_generate_key()\fR returns a pointer to the RSA structure or
+NULL if the key generation fails.
+.SH BUGS
+.IX Header "BUGS"
+\&\fIBN_GENCB_call(cb, 2, x)\fR is used with two different meanings.
+.SH "SEE ALSO"
+.IX Header "SEE ALSO"
+\&\fBEVP_PKEY_Q_keygen\fR\|(3)
+\&\fBBN_generate_prime\fR\|(3), \fBERR_get_error\fR\|(3),
+\&\fBRAND_bytes\fR\|(3), \fBRAND\fR\|(7)
+.SH HISTORY
+.IX Header "HISTORY"
+\&\fBEVP_RSA_gen()\fR was added in OpenSSL 3.0.
+All other functions described here were deprecated in OpenSSL 3.0.
+For replacement see \fBEVP_PKEY\-RSA\fR\|(7).
+.SH COPYRIGHT
+.IX Header "COPYRIGHT"
+Copyright 2000\-2021 The OpenSSL Project Authors. All Rights Reserved.
+.PP
+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>.