Unable to connect to WordPress.com

I get the connect timeout error:
Jetpack could not contact WordPress.com: register_http_request_failed. This usually means something is incorrectly configured on your web host. Operation timed out after 15000 milliseconds with 0 bytes received

When I run the Jetpack compatibility test I get:

TEST: HTTP Connection

Array
(
    [headers] => Array
        (
            [server] => nginx
            [date] => Tue, 01 Oct 2013 18:07:35 GMT
            [content-type] => text/plain;charset=utf-8
            [connection] => close
            [vary] => Cookie
            [x-pingback] => http://jetpack.wordpress.com/xmlrpc.php
            [expires] => Wed, 11 Jan 1984 05:00:00 GMT
            [cache-control] => no-cache, must-revalidate, max-age=60
            [pragma] => no-cache
            [x-hacker] => Jetpack Test
        )

    [body] => OK
    [response] => Array
        (
            [code] => 200
            [message] => OK
        )

    [cookies] => Array
        (
        )

    [filename] =>
)
TEST: HTTPS Connection

Array
(
    [headers] => Array
        (
            [server] => nginx
            [date] => Tue, 01 Oct 2013 18:07:35 GMT
            [content-type] => text/plain;charset=utf-8
            [connection] => close
            [vary] => Cookie
            [x-pingback] => http://jetpack.wordpress.com/xmlrpc.php
            [expires] => Wed, 11 Jan 1984 05:00:00 GMT
            [cache-control] => no-cache, must-revalidate, max-age=60
            [pragma] => no-cache
            [x-hacker] => Jetpack Test
        )

    [body] => OK
    [response] => Array
        (
            [code] => 200
            [message] => OK
        )

    [cookies] => Array
        (
        )

    [filename] =>
)
TEST: Self Connection

WP_Error Object
(
    [errors] => Array
        (
            [http_request_failed] => Array
                (
                    [0] => Operation timed out after 5000 milliseconds with 0 bytes received
                )

        )

    [error_data] => Array
        (
        )

)
TEST: Self Connection (HTTPS)

WP_Error Object
(
    [errors] => Array
        (
            [http_request_failed] => Array
                (
                    [0] => Operation timed out after 5000 milliseconds with 0 bytes received
                )

        )

    [error_data] => Array
        (
        )

)

Which at first, would seem to indicate a problem with xmlrpc file. But when I visit it I get the expected:
XML-RPC server accepts POST requests only.

I'm not sure where to go from here in troubleshooting.

http://wordpress.org/plugins/jetpack/