SELECT 
  video_id, 
  product_id 
FROM 
  q_ab__video_gallery 
WHERE 
  product_id IN (
    1931, 1941, 1951, 1955, 1970, 1985, 2000, 
    1737, 1745, 1466, 1463, 1388
  )

Query time 0.00036

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "5.82"
    },
    "table": {
      "table_name": "q_ab__video_gallery",
      "access_type": "range",
      "possible_keys": [
        "product_id"
      ],
      "key": "product_id",
      "used_key_parts": [
        "product_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 12,
      "rows_produced_per_join": 12,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "3.42",
        "eval_cost": "2.40",
        "prefix_cost": "5.82",
        "data_read_per_join": "864"
      },
      "used_columns": [
        "video_id",
        "product_id"
      ],
      "attached_condition": "(`portal`.`q_ab__video_gallery`.`product_id` in (1931,1941,1951,1955,1970,1985,2000,1737,1745,1466,1463,1388))"
    }
  }
}

Result

video_id product_id
1 1463
2 1466