diff --git a/src/protocols/filter/block_filter.rs b/src/protocols/filter/block_filter.rs
index a311fb9..9dec278 100644
--- a/src/protocols/filter/block_filter.rs
+++ b/src/protocols/filter/block_filter.rs
@@ -95,11 +95,13 @@ impl FilterProtocol {
         nc: Arc<dyn CKBProtocolContext + Sync>,
         immediately: bool,
     ) {
-        let start_number = self.storage.get_min_filtered_block_number() + 1;
+        let min_filtered_block_number = self.storage.get_min_filtered_block_number();
+        let start_number = min_filtered_block_number + 1;
         let (finalized_check_point_index, _) = self.storage.get_last_check_point();
-        let could_ask_more = self
-            .peers
-            .could_request_more_block_filters(finalized_check_point_index, start_number);
+        let could_ask_more = self.peers.could_request_more_block_filters(
+            finalized_check_point_index,
+            min_filtered_block_number,
+        );
         if log_enabled!(Level::Trace) {
             let finalized_check_point_number = self
                 .peers
@@ -113,9 +115,9 @@ impl FilterProtocol {
                 .calc_check_point_number(cached_check_point_index + 1);
             trace!(
                 "could request block filters from {} or not: {}, \
-                         finalized: index {}, number {}; \
-                         cached: index {}, number {}, length {}; \
-                         next cached: number {}",
+                finalized: index {}, number {}; \
+                cached: index {}, number {}, length {}; \
+                next cached: number {}",
                 start_number,
                 could_ask_more,
                 finalized_check_point_index,
diff --git a/src/protocols/filter/components/block_filters_process.rs b/src/protocols/filter/components/block_filters_process.rs
index 267bb4a..07cb2de 100644
--- a/src/protocols/filter/components/block_filters_process.rs
+++ b/src/protocols/filter/components/block_filters_process.rs
@@ -253,10 +253,10 @@ impl<'a> BlockFiltersProcess<'a> {
         self.filter
             .update_min_filtered_block_number(filtered_block_number);
 
-        let could_request_more_block_filters = self.filter.peers.could_request_more_block_filters(
-            finalized_check_point_index,
-            filtered_block_number + 1,
-        );
+        let could_request_more_block_filters = self
+            .filter
+            .peers
+            .could_request_more_block_filters(finalized_check_point_index, filtered_block_number);
         if could_request_more_block_filters {
             // send next batch GetBlockFilters message to a random best peer
             let best_peer = self
diff --git a/src/protocols/light_client/peers.rs b/src/protocols/light_client/peers.rs
index f3d0ade..dd4677e 100644
--- a/src/protocols/light_client/peers.rs
+++ b/src/protocols/light_client/peers.rs
@@ -1138,8 +1138,14 @@ impl Peers {
         self.check_point_interval * BlockNumber::from(index)
     }
 
-    fn calc_best_check_point_index_not_greater_than(&self, number: BlockNumber) -> u32 {
-        (number / self.check_point_interval) as u32
+    fn calc_cached_check_point_index_when_sync_at(&self, number: BlockNumber) -> u32 {
+        // Examples of `input -> output`, denote `check_point_interval` as `i`:
+        // - [0] -> 0
+        // - [1, i] -> 0
+        // - [i+1, 2i] -> 1
+        // - ... ...
+        // - [ki+1, (k+1)i] -> k
+        (number.saturating_sub(1) / self.check_point_interval) as u32
     }
 
     pub(crate) fn last_headers(&self) -> &RwLock<Vec<HeaderView>> {
@@ -1605,7 +1611,7 @@ impl Peers {
 
     pub(crate) fn update_min_filtered_block_number(&self, min_filtered_block_number: BlockNumber) {
         let should_cached_check_point_index =
-            self.calc_best_check_point_index_not_greater_than(min_filtered_block_number);
+            self.calc_cached_check_point_index_when_sync_at(min_filtered_block_number + 1);
         let current_cached_check_point_index =
             self.cached_block_filter_hashes.read().expect("poisoned").0;
         if current_cached_check_point_index != should_cached_check_point_index {
@@ -1799,7 +1805,7 @@ impl Peers {
         min_filtered_block_number: BlockNumber,
     ) -> bool {
         let should_cached_check_point_index =
-            self.calc_best_check_point_index_not_greater_than(min_filtered_block_number);
+            self.calc_cached_check_point_index_when_sync_at(min_filtered_block_number + 1);
         if should_cached_check_point_index >= finalized_check_point_index {
             let finalized_check_point_number =
                 self.calc_check_point_number(finalized_check_point_index);
@@ -1807,7 +1813,7 @@ impl Peers {
                 .get_latest_block_filter_hashes(finalized_check_point_index)
                 .len();
             finalized_check_point_number + latest_block_filter_hashes_count as BlockNumber
-                >= min_filtered_block_number
+                >= min_filtered_block_number + 1
         } else {
             // Check:
             // - If cached block filter hashes is same check point as the required,