diff --git a/activerecord/lib/active_record/relation/finder_methods.rb b/activerecord/lib/active_record/relation/finder_methods.rb
index 6dd932e530..eacae73ebb 100644
--- a/activerecord/lib/active_record/relation/finder_methods.rb
+++ b/activerecord/lib/active_record/relation/finder_methods.rb
@@ -82,12 +82,16 @@ module ActiveRecord
     #   Post.find_by "published_at < ?", 2.weeks.ago
     def find_by(*args)
       where(*args).take
+    rescue RangeError
+      nil
     end
 
     # Like <tt>find_by</tt>, except that if no record is found, raises
     # an <tt>ActiveRecord::RecordNotFound</tt> error.
     def find_by!(*args)
       where(*args).take!
+    rescue RangeError
+      raise RecordNotFound, "Couldn't find #{@klass.name} with an out of range value"
     end
 
     # Gives a record (or N records if a parameter is supplied) without any implied
diff --git a/activerecord/test/cases/finder_test.rb b/activerecord/test/cases/finder_test.rb
index d1ff8516e8..dc73faa5be 100644
--- a/activerecord/test/cases/finder_test.rb
+++ b/activerecord/test/cases/finder_test.rb
@@ -210,6 +210,16 @@ class FinderTest < ActiveRecord::TestCase
     assert_nil Topic.find_by_id('9999999999999999999999999999999')
   end
 
+  def test_find_on_relation_with_large_number
+    assert_nil Topic.where('1=1').find_by(id: 9999999999999999999999999999999)
+  end
+
+  def test_find_by_bang_on_relation_with_large_number
+    assert_raises(ActiveRecord::RecordNotFound) do
+      Topic.where('1=1').find_by!(id: 9999999999999999999999999999999)
+    end
+  end
+
   def test_find_an_empty_array
     assert_equal [], Topic.find([])
   end