diff --git a/ex-2/fancier.c b/ex-2/fancier.c
index 46ce770..eb0c0ed 100644
--- a/ex-2/fancier.c
+++ b/ex-2/fancier.c
@@ -432,7 +432,8 @@ void a_series(mpq_t rop, size_t N) {
 
   mpz_set_ui(fact, 1);
   mpz_set_ui(power, 1);
-  for (size_t k = 0; k < 5*N; k++) {
+  size_t kmax = 4.97 * N;
+  for (size_t k = 0; k <= kmax; k++) {
     if (k > 0) {
       mpz_mul_ui(fact, fact, k);
       mpz_mul(power, power, stop);
@@ -469,7 +470,8 @@ void b_series(mpq_t rop, size_t N){
 
   mpz_set_ui(fact, 1);
   mpz_set_ui(power, 1);
-  for (size_t k = 0; k < 5*N; k++) {
+  size_t kmax = 4.97 * N;
+  for (size_t k = 0; k <= kmax; k++) {
     if (k > 0) {
       mpz_mul_ui(fact, fact, k);
       mpz_mul(power, power, stop);
diff --git a/ex-2/fast.c b/ex-2/fast.c
index 17e43b8..22a2b33 100644
--- a/ex-2/fast.c
+++ b/ex-2/fast.c
@@ -146,10 +146,10 @@ void mpf_gamma(mpf_t rop, size_t digits) {
    * ignoring the C/B² term, to less than 10^-D is α⋅2^p where α
    * is the solution of:
    *
-   *   α log(α) = 3 + α  ⇒  α = exp(W(3e) - 1) ≈ 4.97
+   *   α log(α) = 1 + α  ⇒  α = exp(W(3e) - 1) ≈ 4.97
    *
    */
-  size_t kmax = 4.97 * (1 << p);
+  size_t kmax = 3.59 * (1 << p);
   fprintf(stderr, "[mpf_gamma] iterations: %ld\n", kmax);
 
   // initialise variables