diff --git a/include/boost/math/ccmath/abs.hpp b/include/boost/math/ccmath/abs.hpp
index cd1e16d1f..bec9d1c49 100644
--- a/include/boost/math/ccmath/abs.hpp
+++ b/include/boost/math/ccmath/abs.hpp
@@ -20,7 +20,7 @@ namespace boost::math::ccmath {
 
 namespace detail {
 
-template <BOOST_MATH_ARITHMETIC T> 
+template <BOOST_MATH_ARBITRARY_SIGNED_ARITHMETIC T> 
 inline constexpr T abs_impl(T x) noexcept
 {
     return boost::math::ccmath::isnan(x) ? std::numeric_limits<T>::quiet_NaN() : 
@@ -33,7 +33,7 @@ inline constexpr T abs_impl(T x) noexcept
 } // Namespace detail
 
 template <typename T, std::enable_if_t<!std::is_unsigned_v<T>, bool> = true>
-    BOOST_MATH_REQUIRES(BOOST_MATH_SIGNED_ARITHMETIC, T)
+    BOOST_MATH_REQUIRES(BOOST_MATH_ARBITRARY_SIGNED_ARITHMETIC, T)
 inline constexpr T abs(T x) noexcept
 {
     if(BOOST_MATH_IS_CONSTANT_EVALUATED(x))
@@ -50,7 +50,7 @@ inline constexpr T abs(T x) noexcept
 // If abs() is called with an argument of type X for which is_unsigned_v<X> is true and if X
 // cannot be converted to int by integral promotion (7.3.7), the program is ill-formed.
 template <typename T, std::enable_if_t<std::is_unsigned_v<T>, bool> = true>
-    BOOST_MATH_REQUIRES(BOOST_MATH_UNSIGNED_ARITHMETIC, T)
+    BOOST_MATH_REQUIRES(BOOST_MATH_ARBITRARY_UNSIGNED_ARITHMETIC, T)
 inline constexpr T abs(T x) noexcept
 {
     if constexpr (std::is_convertible_v<T, int>)
diff --git a/include/boost/math/concepts/concepts.hpp b/include/boost/math/concepts/concepts.hpp
index 20ac3ce0b..b379eabec 100644
--- a/include/boost/math/concepts/concepts.hpp
+++ b/include/boost/math/concepts/concepts.hpp
@@ -6,15 +6,39 @@
 #ifndef BOOST_MATH_CONCEPTS_CONCEPTS_HPP
 #define BOOST_MATH_CONCEPTS_CONCEPTS_HPP
 
-#if __cplusplus >= 202002L || _MSVC_LANG >= 202002L
+#if (__cplusplus >= 202002L || _MSVC_LANG >= 202002L) && !defined(BOOST_MATH_DISABLE_CONCEPTS)
 #if __has_include(<concepts>)
-#include <concepts>
 
+#include <utility>
+#include <algorithm>
+#include <concepts>
+#include <functional>
 #include <type_traits>
+#include <limits>
 #include <boost/math/tools/config.hpp>
+#include <boost/math/concepts/real_type_concept.hpp>
 
 namespace boost::math::concepts {
 
+template <typename X, typename Y, typename Op>
+struct op_valid_impl
+{
+    template <typename U, typename L, typename R>
+    static constexpr auto test(int) -> decltype(std::declval<U>()(std::declval<L>(), std::declval<R>()),
+                                                void(), std::true_type());
+
+    template <typename U, typename L, typename R>
+    static constexpr auto test(...) -> std::false_type;
+
+    using type = decltype(test<Op, X, Y>(0));
+};
+
+template <typename X, typename Y, typename Op> 
+using op_valid = typename op_valid_impl<X, Y, Op>::type;
+
+template <typename X, typename Y, typename Op>
+inline constexpr bool op_valid_v = op_valid<X, Y, Op>::value;
+
 template <typename T>
 concept Integral = std::is_integral_v<T>
                    #ifdef __SIZEOF_INT128__
@@ -66,15 +90,56 @@ concept Unsigned_arithmetic = Arithmetic<T> && (std::is_unsigned_v<T>
                             #endif
                             );
 
+template <typename T>
+concept Arbitrary_unsigned_arithmetic_type = Unsigned_arithmetic<T> ||
+                                             (op_valid_v<T, T, std::equal_to<>> &&
+                                              op_valid_v<T, T, std::not_equal_to<>> &&
+                                              op_valid_v<T, T, std::greater<>> &&
+                                              op_valid_v<T, T, std::less<>> &&
+                                              op_valid_v<T, T, std::greater_equal<>> &&
+                                              op_valid_v<T, T, std::less_equal<>> &&
+                                              op_valid_v<T, T, std::plus<>> &&
+                                              op_valid_v<T, T, std::minus<>> &&
+                                              op_valid_v<T, T, std::multiplies<>> &&
+                                              op_valid_v<T, T, std::divides<>> &&
+                                              op_valid_v<T, T, std::modulus<>>);
+
+template <typename T>
+concept Arbitrary_signed_arithmetic_type = Signed_arithmetic<T> ||
+                                           (Arbitrary_unsigned_arithmetic_type<T> &&
+                                            op_valid_v<T, T, std::negate<>>);
+
+template <typename T>
+concept Arbitrary_arithmetic_type = Arbitrary_unsigned_arithmetic_type<T> ||
+                                    Arbitrary_signed_arithmetic_type<T>;
+
+template <typename T>
+concept Aribitrary_unsigned_integer_type = Arbitrary_unsigned_arithmetic_type<T> &&
+                                           std::numeric_limits<T>::is_integer;
+
+template <typename T>
+concept Aribitrary_signed_integer_type = Arbitrary_signed_arithmetic_type<T> &&
+                                         std::numeric_limits<T>::is_integer;
+
+template <typename T>
+concept Aribitrary_integer_type = Aribitrary_unsigned_integer_type<T> ||
+                                  Aribitrary_signed_integer_type<T>;
+
 }
 
-#define BOOST_MATH_INTEGRAL boost::math::concepts::Integral<T>
-#define BOOST_MATH_SIGNED_INTEGRAL boost::math::concepts::Signed_integral<T>
-#define BOOST_MATH_UNSIGNED_INTEGRAL boost::math::concepts::Unsigned_integral<T>
+#define BOOST_MATH_INTEGRAL boost::math::concepts::Integral
+#define BOOST_MATH_SIGNED_INTEGRAL boost::math::concepts::Signed_integral
+#define BOOST_MATH_UNSIGNED_INTEGRAL boost::math::concepts::Unsigned_integral
 #define BOOST_MATH_REAL boost::math::concepts::Real
 #define BOOST_MATH_ARITHMETIC boost::math::concepts::Arithmetic
 #define BOOST_MATH_SIGNED_ARITHMETIC boost::math::concepts::Signed_arithmetic
 #define BOOST_MATH_UNSIGNED_ARITHMETIC boost::math::concepts::Unsigned_arithmetic
+#define BOOST_MATH_ARBITRARY_UNSIGNED_ARITHMETIC boost::math::concepts::Arbitrary_unsigned_arithmetic_type
+#define BOOST_MATH_ARBITRARY_SIGNED_ARITHMETIC boost::math::concepts::Arbitrary_signed_arithmetic_type
+#define BOOST_MATH_ARBITRARY_ARITHMETIC boost::math::concepts::Arbitrary_arithmetic_type
+#define BOOST_MATH_ARBITRARY_UNSIGNED_INTEGER boost::math::concepts::Aribitrary_unsigned_integer_type
+#define BOOST_MATH_ARBITRARY_SIGNED_INTEGER boost::math::concepts::Aribitrary_signed_integer_type
+#define BOOST_MATH_ARBITRARY_INTEGER boost::math::concepts::Aribitrary_integer_type
 #define BOOST_MATH_REQUIRES(X, T) requires X<T>
 
 #endif
@@ -108,6 +173,30 @@ concept Unsigned_arithmetic = Arithmetic<T> && (std::is_unsigned_v<T>
 #  define BOOST_MATH_UNSIGNED_ARITHMETIC typename
 #endif
 
+#ifndef BOOST_MATH_ARBITRARY_UNSIGNED_ARITHMETIC
+#  define BOOST_MATH_ARBITRARY_UNSIGNED_ARITHMETIC typename
+#endif
+
+#ifndef BOOST_MATH_ARBITRARY_SIGNED_ARITHMETIC
+#  define BOOST_MATH_ARBITRARY_SIGNED_ARITHMETIC typename
+#endif
+
+#ifndef BOOST_MATH_ARBITRARY_ARITHMETIC
+#  define BOOST_MATH_ARBITRARY_ARITHMETIC typename
+#endif
+
+#ifndef BOOST_MATH_ARBITRARY_UNSIGNED_INTEGER
+#  define BOOST_MATH_ARBITRARY_UNSIGNED_INTEGER typename
+#endif
+
+#ifndef BOOST_MATH_ARBITRARY_SIGNED_INTEGER
+#  define BOOST_MATH_ARBITRARY_SIGNED_INTEGER typename
+#endif
+
+#ifndef BOOST_MATH_ARBITRARY_INTEGER
+#  define BOOST_MATH_ARBITRARY_INTEGER typename
+#endif
+
 #ifndef BOOST_MATH_REQUIRES
 #  define BOOST_MATH_REQUIRES(X, T)
 #endif