diff --git a/internal/rfc2945/test.go b/internal/rfc2945/test.go
new file mode 100644
index 0000000..b0f8cea
--- /dev/null
+++ b/internal/rfc2945/test.go
@@ -0,0 +1,15 @@
+// Package rfc2945 provides test vectors documented in
+// RFC 2945.
+//
+//nolint:gochecknoglobals
+package rfc2945
+
+import "github.com/bodgit/srp/internal/util"
+
+// RFC 2945 SRP Test Vectors.
+var (
+	M1 = util.Must(util.BytesFromHexString(`
+		3F3BC671 69EA7130 2599CF1B 0F5D408B 7B65D347`))
+	M2 = util.Must(util.BytesFromHexString(`
+		9CAB3C57 5A11DE37 D3AC1421 A9F00923 6A48EB55`))
+)
diff --git a/srp_internal_test.go b/srp_internal_test.go
index b2ad3d0..7faa869 100644
--- a/srp_internal_test.go
+++ b/srp_internal_test.go
@@ -5,6 +5,7 @@ import (
 	"math/big"
 	"testing"
 
+	"github.com/bodgit/srp/internal/rfc2945"
 	"github.com/bodgit/srp/internal/rfc5054"
 	"github.com/bodgit/srp/internal/util"
 	"github.com/stretchr/testify/assert"
@@ -145,3 +146,23 @@ func TestSRP_computeServerS(t *testing.T) {
 		new(big.Int).SetBytes(rfc5054.U),
 		new(big.Int).SetBytes(rfc5054.V)).Bytes())
 }
+
+func TestSRP_computeM1(t *testing.T) {
+	t.Parallel()
+
+	assert.Equal(t, rfc2945.M1, newSRP().computeM1(
+		new(big.Int).SetBytes(rfc5054.XA),
+		new(big.Int).SetBytes(rfc5054.XB),
+		newSRP().computeK(new(big.Int).SetBytes(rfc5054.PremasterSecret)),
+		rfc5054.Identity,
+		rfc5054.Salt))
+}
+
+func TestSRP_computeM2(t *testing.T) {
+	t.Parallel()
+
+	assert.Equal(t, rfc2945.M2, newSRP().computeM2(
+		new(big.Int).SetBytes(rfc5054.XA),
+		rfc2945.M1,
+		newSRP().computeK(new(big.Int).SetBytes(rfc5054.PremasterSecret))))
+}