diff --git a/math/math.cpp b/math/math.cpp
index 30712c8..a7a8e23 100644
--- a/math/math.cpp
+++ b/math/math.cpp
@@ -9,7 +9,8 @@
  */
 
 /*!
- * Returns a pseudo random number between \a lowerbounds and \a upperbounds.
+ * \brief Returns a pseudo random number between \a lowerbounds and \a upperbounds.
+ * \remarks Might be removed since std::uniform_int_distribution does the same.
  */
 int MathUtilities::random(int lowerbounds, int upperbounds)
 {
@@ -18,7 +19,7 @@ int MathUtilities::random(int lowerbounds, int upperbounds)
 }
 
 /*!
- * Returns the digitsum of the given \a number using the specified \a base.
+ * \brief Returns the digitsum of the given \a number using the specified \a base.
  */
 int MathUtilities::digitsum(int number, int base)
 {
@@ -31,7 +32,7 @@ int MathUtilities::digitsum(int number, int base)
 }
 
 /*!
- * Returns the factorial of the given \a number;
+ * \brief Returns the factorial of the given \a number.
  */
 int MathUtilities::factorial(int number)
 {
@@ -41,3 +42,48 @@ int MathUtilities::factorial(int number)
     }
     return res;
 }
+
+/*!
+ * \brief Computes \a base power \a exponent modulo \a module.
+ */
+uint64 powerModulo(const uint64 base, const uint64 exponent, const uint64 module)
+{
+    uint64 res = 1;
+    for(uint64 mask = 0x8000000000000000; mask; mask >>= 1) {
+        if(mask & exponent) {
+            res *= base;
+        }
+        if(mask != 1) {
+            res *= res;
+        }
+        res %= module;
+    }
+    return res;
+}
+
+/*!
+ * \brief Computes the inverse of \a number modulo \a module.
+ */
+int64 inverseModulo(int64 number, int64 module)
+{
+    int64 y1 = 0, y2 = 1, tmp;
+    while(number != 1) {
+        tmp = y1 - (module / number) * y2;
+        y1 = y2;
+        y2 = tmp;
+        tmp = module % number;
+        module = number;
+        number = tmp;
+    }
+    return y2;
+}
+
+/*!
+ * \brief Computes the order of \a number modulo \a module.
+ */
+uint64 orderModulo(const uint64 number, const uint64 module)
+{
+    uint64 order = 1;
+    for(; powerModulo(number, order, module) != 1; ++order);
+    return order;
+}
diff --git a/math/math.h b/math/math.h
index 84c426f..639110d 100644
--- a/math/math.h
+++ b/math/math.h
@@ -2,12 +2,16 @@
 #define MATHUTILITIES_H
 
 #include "../application/global.h"
+#include "../conversion/types.h"
 
 namespace MathUtilities {
 
 LIB_EXPORT int random(int lowerbounds, int upperbounds);
 LIB_EXPORT int digitsum(int number, int base = 10);
 LIB_EXPORT int factorial(int number);
+LIB_EXPORT uint64 powerModulo(uint64 base, uint64 expontent, uint64 module);
+LIB_EXPORT int64 inverseModulo(int64 number, int64 module);
+LIB_EXPORT uint64 orderModulo(uint64 number, uint64 module);
 
 }