diff --git a/math/counting_primes/gen/Grothendieck_prime_00.in b/math/counting_primes/gen/Grothendieck_prime_00.in
new file mode 100644
index 000000000..e1617e842
--- /dev/null
+++ b/math/counting_primes/gen/Grothendieck_prime_00.in
@@ -0,0 +1 @@
+57
diff --git a/math/counting_primes/gen/small_prime_00.in b/math/counting_primes/gen/small_prime_00.in
new file mode 100644
index 000000000..398050c62
--- /dev/null
+++ b/math/counting_primes/gen/small_prime_00.in
@@ -0,0 +1 @@
+101
diff --git a/math/counting_primes/gen/small_prime_01.in b/math/counting_primes/gen/small_prime_01.in
new file mode 100644
index 000000000..aa34eab5f
--- /dev/null
+++ b/math/counting_primes/gen/small_prime_01.in
@@ -0,0 +1 @@
+199
diff --git a/math/counting_primes/hash.json b/math/counting_primes/hash.json
index a821ff6c3..e40d89b19 100644
--- a/math/counting_primes/hash.json
+++ b/math/counting_primes/hash.json
@@ -1,4 +1,6 @@
 {
+  "Grothendieck_prime_00.in": "1326faec3eb42dc72ddffe46daf3940b932f48b9799f6cbf28e80504e7b34958",
+  "Grothendieck_prime_00.out": "e6c21e8d260fe71882debdb339d2402a2ca7648529bc2303f48649bce0380017",
   "example_00.in": "917df3320d778ddbaa5c5c7742bc4046bf803c36ed2b050f30844ed206783469",
   "example_00.out": "7de1555df0c2700329e815b93b32c571c3ea54dc967b89e81ab73b9972b72d1d",
   "example_01.in": "eea8254c7500ba3de996aa8ad6af399183f04e17d4a8102fde539dbc93a90012",
@@ -33,6 +35,10 @@
   "small_03.out": "6771a70676ab80a525ede2a93df8acc8a41a0809cf8290562519929da6f6511d",
   "small_04.in": "d405fe5a8ad4ef5a2467a341bc2d5f5a69f40d534ba5626c8ec61ed8d918d63d",
   "small_04.out": "0e8ae555cd6bb5a690bca0c53b3caa06d017a96c633f1edfd01273f34a74e2b2",
+  "small_prime_00.in": "39b8dc3fc8b44765c8e6f1adee04c5b465e555ab791cc42d0d9e810d5b64297c",
+  "small_prime_00.out": "20d2add851bf39edcc6b5e830930f962db7e19dffa2cab8610eed551eda6c302",
+  "small_prime_01.in": "29ef5f0b7fc0c2facd22af7e616542825331312745dfc31f37423ab0b5e005ee",
+  "small_prime_01.out": "a5331f18877e9e1543361e44b4cb0a1f5f0ed5f8297d850bf1fcc68bd7a3ab5f",
   "very_small_00.in": "4355a46b19d348dc2f57c046f8ef63d4538ebb936000f3c9ee954a27460dd865",
   "very_small_00.out": "9a271f2a916b0b6ee6cecb2426f0b3206ef074578be55d9bc94f6f3fe3ab86aa",
   "very_small_01.in": "53c234e5e8472b6ac51c1ae1cab3fe06fad053beb8ebfd8977b010655bfdd3c3",
diff --git a/math/counting_primes/info.toml b/math/counting_primes/info.toml
index 7da38f51f..3b7ad1510 100644
--- a/math/counting_primes/info.toml
+++ b/math/counting_primes/info.toml
@@ -17,6 +17,12 @@ forum = "https://github.com/yosupo06/library-checker-problems/issues/388"
 [[tests]]
     name = "random.cpp"
     number = 5
+[[tests]]
+    name = "Grothendieck_prime.in"
+    number = 1
+[[tests]]
+    name = "small_prime.in"
+    number = 2
 
 [params]
     N_MAX = 100_000_000_000