diff --git a/arch/x86/include/asm/mce.h b/arch/x86/include/asm/mce.h
index 83b6ddafa032..689ac6e9c65f 100644
--- a/arch/x86/include/asm/mce.h
+++ b/arch/x86/include/asm/mce.h
@@ -144,14 +144,16 @@ struct mce_log_buffer {
 	struct mce entry[];
 };
 
+/* Highest last */
 enum mce_notifier_prios {
-	MCE_PRIO_FIRST		= INT_MAX,
-	MCE_PRIO_UC		= INT_MAX - 1,
-	MCE_PRIO_EXTLOG		= INT_MAX - 2,
-	MCE_PRIO_NFIT		= INT_MAX - 3,
-	MCE_PRIO_EDAC		= INT_MAX - 4,
-	MCE_PRIO_MCELOG		= 1,
-	MCE_PRIO_LOWEST		= 0,
+	MCE_PRIO_LOWEST,
+	MCE_PRIO_MCELOG,
+	MCE_PRIO_EDAC,
+	MCE_PRIO_NFIT,
+	MCE_PRIO_EXTLOG,
+	MCE_PRIO_UC,
+	MCE_PRIO_EARLY,
+	MCE_PRIO_CEC
 };
 
 struct notifier_block;
diff --git a/arch/x86/kernel/cpu/mce/core.c b/arch/x86/kernel/cpu/mce/core.c
index a6009efdfe2b..43b1519ad4e5 100644
--- a/arch/x86/kernel/cpu/mce/core.c
+++ b/arch/x86/kernel/cpu/mce/core.c
@@ -559,7 +559,7 @@ static bool cec_add_mce(struct mce *m)
 	return false;
 }
 
-static int mce_first_notifier(struct notifier_block *nb, unsigned long val,
+static int mce_early_notifier(struct notifier_block *nb, unsigned long val,
 			      void *data)
 {
 	struct mce *m = (struct mce *)data;
@@ -580,9 +580,9 @@ static int mce_first_notifier(struct notifier_block *nb, unsigned long val,
 	return NOTIFY_DONE;
 }
 
-static struct notifier_block first_nb = {
-	.notifier_call	= mce_first_notifier,
-	.priority	= MCE_PRIO_FIRST,
+static struct notifier_block early_nb = {
+	.notifier_call	= mce_early_notifier,
+	.priority	= MCE_PRIO_EARLY,
 };
 
 static int uc_decode_notifier(struct notifier_block *nb, unsigned long val,
@@ -2041,7 +2041,7 @@ __setup("mce", mcheck_enable);
 int __init mcheck_init(void)
 {
 	mcheck_intel_therm_init();
-	mce_register_decode_chain(&first_nb);
+	mce_register_decode_chain(&early_nb);
 	mce_register_decode_chain(&mce_uc_nb);
 	mce_register_decode_chain(&mce_default_nb);
 	mcheck_vendor_init_severity();