diff --git a/tests/t_finite_fields_powinv.nim b/tests/t_finite_fields_powinv.nim
index d31e1cf82..4d67fa564 100644
--- a/tests/t_finite_fields_powinv.nim
+++ b/tests/t_finite_fields_powinv.nim
@@ -294,4 +294,13 @@ proc main() =
     testRandomInv BLS12_461
     testRandomInv BN462
 
+  suite "Bug highlighted by property-based testing" & " [" & $WordBitwidth & "-bit mode]":
+    test "#30 - Euler's Criterion should be 1 for square on FKM12_447":
+      var a: Fp[FKM12_447]
+      # square of "0x406e5e74ee09c84fa0c59f2db3ac814a4937e2f57ecd3c0af4265e04598d643c5b772a6549a2d9b825445c34b8ba100fe8d912e61cfda43d"
+      a.fromHex("0x1e6511b2bfabd7d32d8df7492c66df29ade7fdb21bb0d8f6cacfccb05e45a812a27cd087e1bbb2d202ee29f75a021a6a68d990a2a5e73410")
+
+      a.powUnsafeExponent(FKM12_447.getPrimeMinus1div2_BE())
+      check: bool a.isOne()
+
 main()
diff --git a/tests/t_finite_fields_sqrt.nim b/tests/t_finite_fields_sqrt.nim
index c427729df..a79c1d322 100644
--- a/tests/t_finite_fields_sqrt.nim
+++ b/tests/t_finite_fields_sqrt.nim
@@ -133,4 +133,11 @@ proc main() =
     randomSqrtCheck_p3mod4 BLS12_461
     randomSqrtCheck_p3mod4 BN462
 
+  suite "Modular square root - 32-bit bugs highlighted by property-based testing " & " [" & $WordBitwidth & "-bit mode]":
+    test "FKM12_447 - #30":
+      var a: Fp[FKM12_447]
+      a.fromHex("0x406e5e74ee09c84fa0c59f2db3ac814a4937e2f57ecd3c0af4265e04598d643c5b772a6549a2d9b825445c34b8ba100fe8d912e61cfda43d")
+      a.square()
+      check: bool a.isSquare()
+
 main()