diff --git a/ssh/common.go b/ssh/common.go
index 5ce452b..44f71de 100644
--- a/ssh/common.go
+++ b/ssh/common.go
@@ -70,12 +70,12 @@
 // supportedHostKeyAlgos specifies the supported host-key algorithms (i.e. methods
 // of authenticating servers) in preference order.
 var supportedHostKeyAlgos = []string{
-	CertAlgoRSASHA512v01, CertAlgoRSASHA256v01,
+	CertAlgoRSASHA256v01, CertAlgoRSASHA512v01,
 	CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01,
 	CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoED25519v01,
 
 	KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521,
-	KeyAlgoRSASHA512, KeyAlgoRSASHA256,
+	KeyAlgoRSASHA256, KeyAlgoRSASHA512,
 	KeyAlgoRSA, KeyAlgoDSA,
 
 	KeyAlgoED25519,