diff --git a/NEWS b/NEWS
index f63df92..2e69391 100644
--- a/NEWS
+++ b/NEWS
@@ -29,12 +29,22 @@ GNU coreutils NEWS                                    -*- outline -*-
   "Too many levels of symbolic links" diagnostic.
   [bug introduced in coreutils-8.6]
 
+  seq now handles arbitrarily long non-negative whole numbers when the
+  increment is 1 and when no format-changing option is specified.
+  Before, this would infloop:
+    b=100000000000000000000; seq $b $b
+  [the bug dates back to the initial implementation]
+
 ** Changes in behavior
 
   nproc now diagnoses with an error, non option command line parameters.
 
 ** Improvements
 
+  seq is now up to 70 times faster than it was in coreutils-8.19 and prior,
+  but only with non-negative whole numbers, an increment of 1, and no
+  format-changing options.
+
   stat and tail work better with ZFS and VZFS.  stat -f --format=%T now
   reports the file system type, and tail -f now uses inotify for files
   on those file systems, rather than the default (for unknown file system
diff --git a/src/seq.c b/src/seq.c
index 90e9fc1..cedd25d 100644
--- a/src/seq.c
+++ b/src/seq.c
@@ -335,6 +335,116 @@ get_default_format (operand first, operand step, operand last)
   return "%Lg";
 }
 
+/* The NUL-terminated string S0 of length S_LEN represents a valid
+   non-negative decimal integer.  Adjust the string and length so
+   that the pair describe the next-larger value.  */
+static void
+incr (char **s0, size_t *s_len)
+{
+  char *s = *s0;
+  char *endp = s + *s_len - 1;
+
+  do
+    {
+      if ((*endp)++ < '9')
+        return;
+      *endp-- = '0';
+    }
+  while (endp >= s);
+  *--(*s0) = '1';
+  ++*s_len;
+}
+
+/* Compare A and B (each a NUL-terminated digit string), with lengths
+   given by A_LEN and B_LEN.  Return +1 if A < B, -1 if B < A, else 0.  */
+static int
+cmp (char const *a, size_t a_len, char const *b, size_t b_len)
+{
+  if (a_len < b_len)
+    return -1;
+  if (b_len < a_len)
+    return 1;
+  return (strcmp (a, b));
+}
+
+/* Trim leading 0's from S, but if S is all 0's, leave one.
+   Return a pointer to the trimmed string.  */
+static char const * _GL_ATTRIBUTE_PURE
+trim_leading_zeros (char const *s)
+{
+  char const *p = s;
+  while (*s == '0')
+    ++s;
+
+  /* If there were only 0's, back up, to leave one.  */
+  if (!*s && s != p)
+    --s;
+  return s;
+}
+
+/* Print all whole numbers from A to B, inclusive -- to stdout, each
+   followed by a newline.  If B < A, return false and print nothing.
+   Otherwise, return true.  */
+static bool
+seq_fast (char const *a, char const *b)
+{
+  /* Skip past any leading 0's.  Without this, our naive cmp
+     function would declare 000 to be larger than 99.  */
+  a = trim_leading_zeros (a);
+  b = trim_leading_zeros (b);
+
+  size_t p_len = strlen (a);
+  size_t q_len = strlen (b);
+  size_t n = MAX (p_len, q_len);
+  char *p0 = xmalloc (n + 1);
+  char *p = memcpy (p0 + n - p_len, a, p_len + 1);
+  char *q0 = xmalloc (n + 1);
+  char *q = memcpy (q0 + n - q_len, b, q_len + 1);
+
+  bool ok = cmp (p, p_len, q, q_len) <= 0;
+  if (ok)
+    {
+      /* Buffer at least this many output lines per fwrite call.
+         This gives a speed-up of more than 2x over the unbuffered code
+         when printing the first 10^9 integers.  */
+      enum {N = 40};
+      char *buf = xmalloc (N * (n + 1));
+      char const *buf_end = buf + N * (n + 1);
+
+      puts (p);
+      char *z = buf;
+      while (cmp (p, p_len, q, q_len) < 0)
+        {
+          incr (&p, &p_len);
+          z = mempcpy (z, p, p_len);
+          *z++ = '\n';
+          if (buf_end - n - 1 < z)
+            {
+              fwrite (buf, z - buf, 1, stdout);
+              z = buf;
+            }
+        }
+
+      /* Write any remaining, buffered output.  */
+      if (buf < z)
+        fwrite (buf, z - buf, 1, stdout);
+
+      IF_LINT (free (buf));
+    }
+
+  free (p0);
+  free (q0);
+  return ok;
+}
+
+/* Return true if S consists of at least one digit and no non-digits.  */
+static bool _GL_ATTRIBUTE_PURE
+all_digits_p (char const *s)
+{
+  size_t n = strlen (s);
+  return ISDIGIT (s[0]) && n == strspn (s, "0123456789");
+}
+
 int
 main (int argc, char **argv)
 {
@@ -397,13 +507,14 @@ main (int argc, char **argv)
         }
     }
 
-  if (argc - optind < 1)
+  unsigned int n_args = argc - optind;
+  if (n_args < 1)
     {
       error (0, 0, _("missing operand"));
       usage (EXIT_FAILURE);
     }
 
-  if (3 < argc - optind)
+  if (3 < n_args)
     {
       error (0, 0, _("extra operand %s"), quote (argv[optind + 3]));
       usage (EXIT_FAILURE);
@@ -412,6 +523,32 @@ main (int argc, char **argv)
   if (format_str)
     format_str = long_double_format (format_str, &layout);
 
+  if (format_str != NULL && equal_width)
+    {
+      error (0, 0, _("format string may not be specified"
+                     " when printing equal width strings"));
+      usage (EXIT_FAILURE);
+    }
+
+  /* If the following hold:
+     - no format string, [FIXME: relax this, eventually]
+     - integer start (or no start)
+     - integer end
+     - increment == 1 or not specified [FIXME: relax this, eventually]
+     then use the much more efficient integer-only code.  */
+  if (format_str == NULL
+      && all_digits_p (argv[1])
+      && (n_args == 1 || all_digits_p (argv[2]))
+      && (n_args < 3 || STREQ ("1", argv[3])))
+    {
+      char const *s1 = n_args == 1 ? "1" : argv[1];
+      char const *s2 = n_args == 1 ? argv[1] : argv[2];
+      if (seq_fast (s1, s2))
+        exit (EXIT_SUCCESS);
+
+      /* Upon any failure, let the more general code deal with it.  */
+    }
+
   last = scan_arg (argv[optind++]);
 
   if (optind < argc)
@@ -426,13 +563,6 @@ main (int argc, char **argv)
         }
     }
 
-  if (format_str != NULL && equal_width)
-    {
-      error (0, 0, _("format string may not be specified"
-                     " when printing equal width strings"));
-      usage (EXIT_FAILURE);
-    }
-
   if (format_str == NULL)
     format_str = get_default_format (first, step, last);
 
diff --git a/tests/misc/seq.pl b/tests/misc/seq.pl
index 2517d99..351097b 100755
--- a/tests/misc/seq.pl
+++ b/tests/misc/seq.pl
@@ -30,6 +30,11 @@ my $locale = $ENV{LOCALE_FR_UTF8};
 ! defined $locale || $locale eq 'none'
   and $locale = 'C';
 
+my $p = '9' x 81;
+(my $q = $p) =~ s/9/0/g;
+$q = "1$q";
+(my $r = $q) =~ s/0$/1/;
+
 my @Tests =
   (
    ['onearg-1',	qw(10),		{OUT => [(1..10)]}],
@@ -107,6 +112,15 @@ my @Tests =
     {ENV => "LC_ALL=$locale"},
     {OUT_SUBST => 's/,/./g'},
     ],
+
+   # With coreutils-8.19 and prior, this would infloop.
+   ['long-1', "$p $r", {OUT => [$p, $q, $r]}],
+
+   # Exercise the code that trims leading zeros.
+   ['long-leading-zeros1', qw(000 2), {OUT => [qw(0 1 2)]}],
+   ['long-leading-zeros2', qw(000 02), {OUT => [qw(0 1 2)]}],
+   ['long-leading-zeros3', qw(00 02), {OUT => [qw(0 1 2)]}],
+   ['long-leading-zeros4', qw(0 02), {OUT => [qw(0 1 2)]}],
   );
 
 # Append a newline to each entry in the OUT array.