How to change the permalink structure of a master page?

Question

To remove pagination prefix page in home page you should:

add a rewrite rule which will translate the new link format,
prevent redirection to address containing page,
replace URLs in paging links.

By creating pagination links, WordPress appends query var paged with mentioned prefix to url. Therefore, without modification, the links would look like example.com/3/page/3.

Next thing is redirection. WP redirects incoming links to the proper URL based on the site url.Thanks to our rewrite rule, for the example.com/3 url, the results of the third page will be displayed (paged=3). But WP check that correct url for paged=3 should be example.com/3/page/3 which is different from example.com/3.
Therefore, a redirection will be made.

add_action( 'init', 'se323035_structure', 25 );
add_filter( 'paginate_links',       'se323035_paginate_links' );
add_filter( 'redirect_canonical',   'se323035_redirect_canonical', 20, 2 );

function se323035_structure()
{
    global $wp_rewrite;
    if ( $wp_rewrite->using_permalinks() )
        add_rewrite_rule( '([0-9]+)/?$', 'index.php?&paged=$matches[1]', 'top');
}

function se323035_paginate_links( $link )
{
    global $wp_rewrite;
    if ( is_home() && $wp_rewrite->using_permalinks() ) {
        $original = @parse_url( $link );
        $home = @parse_url( home_url("https://wordpress.stackexchange.com/") );
        if ( ! isset( $original['path'] ) )
            $original['path'] = '';

        $original_path = $original['path'];
        $original_path_end = $original['path'];
        if ( isset($home['path']) )
        {
            $home['path'] = trim($home['path']);
            $home['path'] = untrailingslashit($home['path']);
            if ( !empty($home['path']) && $home['path'] != "https://wordpress.stackexchange.com/" )
                $original_path_end = str_replace( $home['path'], '', $original['path']);
        }
        //
        // if original url match to our link structure do not redirect to '/page/{number}'
        if ( preg_match( '|^/?[0-9]+/?$|', $original_path_end) ) {
            $link = home_url( "https://wordpress.stackexchange.com/" );
        }
        elseif ( preg_match( "|/(\d+/)?$wp_rewrite->pagination_base/\d+/?$|", $original_path_end) )
            $link = preg_replace( "|/(\d+/)?$wp_rewrite->pagination_base/(\d+/?)$|", '/${2}', $link );
    }

    return $link;
}

function se323035_redirect_canonical( $redirect_url, $requested_url )
{
    global $wp_rewrite;

    if ( is_home() && !empty($redirect_url) )
    {
        $original = @parse_url( $requested_url );
        if ( ! isset( $original['path'] ) )
            $original['path'] = '';

        $original_path = $original['path'];
        $home = @parse_url( home_url("https://wordpress.stackexchange.com/") );
        if ( isset($home['path']) )
        {
            $home['path'] = trim($home['path']);
            $home['path'] = untrailingslashit($home['path']);
            if ( !empty($home['path']) && $home['path'] != "https://wordpress.stackexchange.com/" )
                $original_path = str_replace( $home['path'], '', $original['path']);
        }
        // if original url match to our link structure don't redirect to '/page/{number}'
        if ( preg_match( '|^/?[0-9]+/?$|', $original_path) )
            return '';
    }
    return $redirect_url;
}

The new link format can not be used if the permalink structure is set to /%post_id%.

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