diff --git a/src/error.rs b/src/error.rs
new file mode 100644
index 0000000..de0a554
--- /dev/null
+++ b/src/error.rs
@@ -0,0 +1,40 @@
+//! Contains the implementation of the error type that is returned by the segmented sieving and generation functions.
+
+use core::fmt;
+
+/// The error returned by [`primes_lt`](crate::primes_lt) and [`primes_geq`](crate::primes_geq) if the input
+/// is invalid or does not work to produce the requested primes.
+#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
+pub enum Error {
+    /// The limit was larger than `MEM^2`.
+    TooLargeLimit(u64, u64),
+    /// The limit was smaller than or equal to 2.
+    TooSmallLimit(u64),
+    /// Encountered a number larger than `MEM`^2.
+    SieveOverrun(u64),
+    /// Ran out of primes.
+    OutOfPrimes,
+}
+
+impl fmt::Display for Error {
+    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
+        match self {
+            Self::TooLargeLimit(limit, mem_sqr) => write!(
+                f,
+                "the limit ({limit}) was larger than `MEM`^2 ({mem_sqr})"
+            ),
+            Self::TooSmallLimit(limit) => write!(
+                f,
+                "the limit was {limit}, which is smaller than or equal to 2"
+            ),
+            Self::SieveOverrun(number) => write!(
+                f,
+                "encountered the number {number} which would have needed `MEM` to be at least {} to sieve", crate::imath::isqrt(*number) + 1
+            ),
+            Self::OutOfPrimes => write!(f, "ran out of primes before the array was filled"),
+        }
+    }
+}
+
+#[cfg(feature = "std")]
+impl std::error::Error for Error {}
diff --git a/src/generation.rs b/src/generation.rs
index f773702..d7a0d51 100644
--- a/src/generation.rs
+++ b/src/generation.rs
@@ -1,6 +1,4 @@
-use core::fmt;
-
-use crate::{sieve, sieving::sieve_segment, Underlying};
+use crate::{error::Error, sieve, sieving::sieve_segment, Underlying};
 
 /// Returns the `N` first prime numbers.
 /// Fails to compile if `N` is 0.
@@ -359,43 +357,6 @@ pub const fn primes_geq<const N: usize, const MEM: usize>(
     Ok(primes)
 }
 
-/// The error returned by [`primes_lt`] and [`primes_geq`] if the input
-/// is invalid or does not work to produce the requested primes.
-#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
-pub enum Error {
-    /// The limit was larger than `MEM^2`.
-    TooLargeLimit(u64, u64),
-    /// The limit was smaller than or equal to 2.
-    TooSmallLimit(u64),
-    /// Encountered a number larger than `MEM`^2.
-    SieveOverrun(u64),
-    /// Ran out of primes.
-    OutOfPrimes,
-}
-
-impl fmt::Display for Error {
-    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
-        match self {
-            Self::TooLargeLimit(limit, mem_sqr) => write!(
-                f,
-                "the limit ({limit}) was larger than `MEM`^2 ({mem_sqr})"
-            ),
-            Self::TooSmallLimit(limit) => write!(
-                f,
-                "the limit was {limit}, which is smaller than or equal to 2"
-            ),
-            Self::SieveOverrun(number) => write!(
-                f,
-                "encountered the number {number} which would have needed `MEM` to be at least {} to sieve", crate::imath::isqrt(*number) + 1
-            ),
-            Self::OutOfPrimes => write!(f, "ran out of primes before the array was filled"),
-        }
-    }
-}
-
-#[cfg(feature = "std")]
-impl std::error::Error for Error {}
-
 #[cfg(test)]
 mod test {
     use crate::is_prime;
diff --git a/src/lib.rs b/src/lib.rs
index ee20306..8e54045 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -116,6 +116,7 @@
 // This is used since there is currently no way to be generic over types that can do arithmetic at compile time.
 type Underlying = u32;
 
+mod error;
 mod generation;
 mod imath;
 mod miller_rabin;
@@ -123,7 +124,8 @@ mod other_prime;
 mod sieving;
 mod wrapper;
 
-pub use generation::{primes, primes_geq, primes_lt, Error};
+pub use error::Error;
+pub use generation::{primes, primes_geq, primes_lt};
 pub use imath::isqrt;
 pub use miller_rabin::is_prime;
 pub use other_prime::{next_prime, previous_prime};