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I'm facing this problem.Actually I'm trying to disable SSLV3 and enable TLS 1.2 in my Cent OS production server.I found exact same question here.
[root@186-aven-vps ~]# openssl s_client -connect kickmarket.eu:443 -ssl3
socket: Connection refused
connect:errno=111
So I tried accepted answer in the above mentioned link
[root@186-aven-vps ~]# nmap kickmarket.eu
Starting Nmap 6.40 ( http://nmap.org ) at 2015-10-27 04:16 GMT
Nmap scan report for kickmarket.eu (46.4.213.86)
Host is up (0.000010s latency).
rDNS record for 46.4.213.86: 186-aven-vps.mde.ie
Not shown: 986 closed ports
PORT STATE SERVICE
21/tcp open ftp
22/tcp open ssh
25/tcp open smtp
53/tcp open domain
80/tcp open http
110/tcp open pop3
143/tcp open imap
465/tcp open smtps
587/tcp open submission
993/tcp open imaps
995/tcp open pop3s
3306/tcp open mysql
10000/tcp open snet-sensor-mgmt
20000/tcp open dnp
Nmap done: 1 IP address (1 host up) scanned in 0.10 seconds
But couldn't see the openssl running on port 443.Here is my some information
[root@186-aven-vps ~]# openssl version
OpenSSL 1.0.1e-fips 11 Feb 2013
[root@186-aven-vps ~]# yum info openssl
Loaded plugins: fastestmirror
Loading mirror speeds from cached hostfile
* base: mirror.softaculous.com
* epel: mirrors.n-ix.net
* extras: centosmirror.netcup.net
* rpmforge: mirror.de.leaseweb.net
* updates: mirror.23media.de
Installed Packages
Name : openssl
Arch : x86_64
Epoch : 1
Version : 1.0.1e
Release : 42.el7.9
Size : 1.5 M
Repo : installed
From repo : updates
Summary : Utilities from the general purpose cryptography library with TLS implementation
URL : http://www.openssl.org/
License : OpenSSL
Description : The OpenSSL toolkit provides support for secure communications between
: machines. OpenSSL includes a certificate management tool and shared
: libraries which provide various cryptographic algorithms and
: protocols.
What are you trying to connect to exactly? Nginx? – David Schwartz – 2015-10-27T08:07:26.860
@David please have a look https://stackoverflow.com/questions/33168251/opensslsslsslerror-ssl-connect-returned-1-errno-0-state-sslv3-read-server-c
– Bibek Sharma – 2015-10-27T08:18:11.960I still can't figure out what you're trying to do. Why would you expect OpenSSL to be running on port 443? What are you trying to connect to with OpenSSL? I understand the broad concept of what you're trying to do, but can't for the life of me figure out what the specific issue you're having has to do with your big picture. Are you trying to configure nginx? If so, to do what? To listen on port 443? – David Schwartz – 2015-10-27T08:42:19.277