diff --git a/ChangeLog b/ChangeLog
index 44763f5c55..3e6ec7e85f 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,9 @@
+2022-08-15  Paul Eggert  <eggert@cs.ucla.edu>
+
+	tempname: remove incorrect comment
+	* lib/tempname.c, lib/tempname.h: Remove incorrect comment,
+	as the names are not necessarily hard to predict (Bug#57129).
+
 2022-08-13  Paul Eggert  <eggert@cs.ucla.edu>
 
 	stdbool: port to C23
diff --git a/lib/tempname.c b/lib/tempname.c
index 5fc5efe031..75a939e571 100644
--- a/lib/tempname.c
+++ b/lib/tempname.c
@@ -213,7 +213,7 @@ static const char letters[] =
                         and return a read-write fd.  The file is mode 0600.
    __GT_DIR:            create a directory, which will be mode 0700.
 
-   We use a clever algorithm to get hard-to-predict names. */
+   */
 #ifdef _LIBC
 static
 #endif
diff --git a/lib/tempname.h b/lib/tempname.h
index c172820f7f..5e3c5e1550 100644
--- a/lib/tempname.h
+++ b/lib/tempname.h
@@ -48,7 +48,7 @@ extern "C" {
                         and return a read-write fd.  The file is mode 0600.
    GT_DIR:              create a directory, which will be mode 0700.
 
-   We use a clever algorithm to get hard-to-predict names. */
+   */
 extern int gen_tempname (char *tmpl, int suffixlen, int flags, int kind);
 /* Similar, except X_SUFFIX_LEN gives the number of Xs.  */
 extern int gen_tempname_len (char *tmpl, int suffixlen, int flags, int kind,