diff --git a/library/core/src/num/f128.rs b/library/core/src/num/f128.rs
index 9362dc8765492..75eed26485881 100644
--- a/library/core/src/num/f128.rs
+++ b/library/core/src/num/f128.rs
@@ -68,6 +68,12 @@ pub mod consts {
     pub const FRAC_1_SQRT_PI: f128 =
         0.564189583547756286948079451560772585844050629328998856844086_f128;
 
+    /// 1/sqrt(2π)
+    #[unstable(feature = "f128", issue = "116909")]
+    // Also, #[unstable(feature = "more_float_constants", issue = "103883")]
+    pub const FRAC_1_SQRT_2PI: f128 =
+        0.398942280401432677939946059934381868475858631164934657665926_f128;
+
     /// 2/π
     #[unstable(feature = "f128", issue = "116909")]
     pub const FRAC_2_PI: f128 = 0.636619772367581343075535053490057448137838582961825794990669_f128;
diff --git a/library/core/src/num/f16.rs b/library/core/src/num/f16.rs
index c4d4584544bad..955314516a4a7 100644
--- a/library/core/src/num/f16.rs
+++ b/library/core/src/num/f16.rs
@@ -67,6 +67,11 @@ pub mod consts {
     // Also, #[unstable(feature = "more_float_constants", issue = "103883")]
     pub const FRAC_1_SQRT_PI: f16 = 0.564189583547756286948079451560772586_f16;
 
+    /// 1/sqrt(2π)
+    #[unstable(feature = "f16", issue = "116909")]
+    // Also, #[unstable(feature = "more_float_constants", issue = "103883")]
+    pub const FRAC_1_SQRT_2PI: f16 = 0.398942280401432677939946059934381868_f16;
+
     /// 2/π
     #[unstable(feature = "f16", issue = "116909")]
     pub const FRAC_2_PI: f16 = 0.636619772367581343075535053490057448_f16;
diff --git a/library/core/src/num/f32.rs b/library/core/src/num/f32.rs
index 2e715fb0bdde7..8c591af3c0d0f 100644
--- a/library/core/src/num/f32.rs
+++ b/library/core/src/num/f32.rs
@@ -327,6 +327,10 @@ pub mod consts {
     #[unstable(feature = "more_float_constants", issue = "103883")]
     pub const FRAC_1_SQRT_PI: f32 = 0.564189583547756286948079451560772586_f32;
 
+    /// 1/sqrt(2π)
+    #[unstable(feature = "more_float_constants", issue = "103883")]
+    pub const FRAC_1_SQRT_2PI: f32 = 0.398942280401432677939946059934381868_f32;
+
     /// 2/π
     #[stable(feature = "rust1", since = "1.0.0")]
     pub const FRAC_2_PI: f32 = 0.636619772367581343075535053490057448_f32;
diff --git a/library/core/src/num/f64.rs b/library/core/src/num/f64.rs
index db8e1f318adba..db458c4375ce7 100644
--- a/library/core/src/num/f64.rs
+++ b/library/core/src/num/f64.rs
@@ -327,6 +327,10 @@ pub mod consts {
     #[unstable(feature = "more_float_constants", issue = "103883")]
     pub const FRAC_1_SQRT_PI: f64 = 0.564189583547756286948079451560772586_f64;
 
+    /// 1/sqrt(2π)
+    #[unstable(feature = "more_float_constants", issue = "103883")]
+    pub const FRAC_1_SQRT_2PI: f64 = 0.398942280401432677939946059934381868_f64;
+
     /// 2/π
     #[stable(feature = "rust1", since = "1.0.0")]
     pub const FRAC_2_PI: f64 = 0.636619772367581343075535053490057448_f64;