diff --git a/library/bignum_core.c b/library/bignum_core.c
index 76b1da7..ca2af9c 100644
--- a/library/bignum_core.c
+++ b/library/bignum_core.c
@@ -856,8 +856,8 @@
     /* We'll process the bits of E from most significant
      * (limb_index=E_limbs-1, E_bit_index=biL-1) to least significant
      * (limb_index=0, E_bit_index=0). */
-    size_t E_limb_index;
-    size_t E_bit_index;
+    size_t E_limb_index = E_limbs;
+    size_t E_bit_index = 0;
     exp_mod_calc_first_bit_optionally_safe(E, E_limbs, E_public,
                                            &E_limb_index, &E_bit_index);