[Plugin: BackWPup] [WARNING] mysql_query() [function.mysql-query]: Unable to save result set

So I get the following warning:

Memory increased from 64M to 2G
[WARNING] mysql_query() [function.mysql-query]: Unable to save result set
[ERROR] Database error MySQL client ran out of memory for query SELECT * FROM <code>wp_flickr</code>
Dump database table "wp_links"
 [ERROR] Database error Lost connection to MySQL server during query for query SHOW CREATE TABLE <code>wp_links</code>
Dump database table "wp_options"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_options</code>
Dump database table "wp_orgSeriesIcons"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_orgSeriesIcons</code>
Dump database table "wp_piecemaker_img"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_piecemaker_img</code>
Dump database table "wp_piecemakers"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_piecemakers</code>
Dump database table "wp_postmeta"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_postmeta</code>
Dump database table "wp_posts"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_posts</code>
Dump database table "wp_registration_log"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_registration_log</code>
Dump database table "wp_signups"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_signups</code>
Dump database table "wp_site"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_site</code>
Dump database table "wp_sitemeta"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_sitemeta</code>
Dump database table "wp_term_relationships"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_term_relationships</code>
Dump database table "wp_term_taxonomy"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_term_taxonomy</code>
Dump database table "wp_terms"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_terms</code>
Dump database table "wp_usermeta"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_usermeta</code>
Dump database table "wp_users"
[ERROR] Database error MySQL server has gone away for query SHOW CREATE TABLE <code>wp_users</code>

I’m thinking maybe my MySQL has a size limit? Either way, I can’t seem to figure this one out and any help would be appreciated.

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