SELECT 
  video_id, 
  product_id 
FROM 
  cscart_ab__video_gallery 
WHERE 
  product_id IN (
    1588, 2281, 2295, 2470, 2287, 2293, 2289, 
    2296, 2291, 2450, 2288, 2472
  )

Query time 0.00024

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_ab__video_gallery",
      "access_type": "range",
      "possible_keys": ["product_id"],
      "key": "product_id",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 12,
      "filtered": 100,
      "attached_condition": "cscart_ab__video_gallery.product_id in (1588,2281,2295,2470,2287,2293,2289,2296,2291,2450,2288,2472)",
      "using_index": true
    }
  }
}

Result

video_id product_id
60 2281
61 2287
66 2288
65 2289
64 2291
63 2293
59 2295
62 2296