diff --git a/rest_framework/pagination.py b/rest_framework/pagination.py
index 496500ba5..7d0e4057a 100644
--- a/rest_framework/pagination.py
+++ b/rest_framework/pagination.py
@@ -287,12 +287,11 @@ class PageNumberPagination(BasePagination):
 
         return self.paginate_by
 
-    def get_next_link(self):
-        if not self.page.has_next():
+    def get_first_link(self):
+        if not self.page.has_previous():
             return None
         url = self.request.build_absolute_uri()
-        page_number = self.page.next_page_number()
-        return replace_query_param(url, self.page_query_param, page_number)
+        return remove_query_param(url, self.page_query_param)
 
     def get_previous_link(self):
         if not self.page.has_previous():
@@ -303,6 +302,20 @@ class PageNumberPagination(BasePagination):
             return remove_query_param(url, self.page_query_param)
         return replace_query_param(url, self.page_query_param, page_number)
 
+    def get_next_link(self):
+        if not self.page.has_next():
+            return None
+        url = self.request.build_absolute_uri()
+        page_number = self.page.next_page_number()
+        return replace_query_param(url, self.page_query_param, page_number)
+
+    def get_last_link(self):
+        if not self.page.has_next():
+            return None
+        url = self.request.build_absolute_uri()
+        page_number = self.page.paginator.num_pages
+        return replace_query_param(url, self.page_query_param, page_number)
+        
     def get_html_context(self):
         base_url = self.request.build_absolute_uri()