diff --git a/README.md b/README.md
index b67919b..b614918 100644
--- a/README.md
+++ b/README.md
@@ -61,18 +61,6 @@ const CHECK: bool = is_prime(18_446_744_073_709_551_557);
 assert!(CHECK);
 ```
 
-## Example: sieving
-
-Sieve a range of numbers for their prime status with `sieve`:
-```rust
-use const_primes::sieve;
-
-const PRIME_STATUS: [bool; 10] = sieve();
-
-//                        0      1      2     3     4      5     6      7     8      9
-assert_eq!(PRIME_STATUS, [false, false, true, true, false, true, false, true, false, false]);
-```  
-
 ## Example: generate the three primes after 5000000031
 
 The crate also provides prime generation and sieving functions that can be used to work with ranges that don't start at zero, e.g. `primes_geq` and `sieve_lt`. These functions can use large sieves to compute large primes, but don't need to return the entire sieve, just the requested numbers.
diff --git a/src/lib.rs b/src/lib.rs
index 1d38308..d07bcb8 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -54,18 +54,6 @@
 //! assert!(CHECK);
 //! ```
 //!
-//! # Example: sieving
-//!
-//! Sieve a range of numbers for their prime status with [`sieve`](crate::sieve()):
-//! ```
-//! use const_primes::sieve;
-//!
-//! const PRIME_STATUS: [bool; 10] = sieve();
-//!
-//! //                        0      1      2     3     4      5     6      7     8      9
-//! assert_eq!(PRIME_STATUS, [false, false, true, true, false, true, false, true, false, false]);
-//! ```
-//!
 //! # Example: generate the three primes after 5000000031
 //!
 //! The crate also provides prime generation and sieving functions that can be used to work with ranges that don't start at zero, e.g. [`primes_geq`] and [`sieve_lt`].