diff --git a/src/algorithms/reduction.rs b/src/algorithms/reduction.rs
index ad143f9c..9f670cba 100644
--- a/src/algorithms/reduction.rs
+++ b/src/algorithms/reduction.rs
@@ -38,6 +38,7 @@ pub(crate) fn to_monty(x: &BoxedUint, p: &BoxedMontyParams) -> BoxedMontyForm {
 #[cfg(test)]
 mod tests {
     use super::*;
+    use alloc::vec::Vec;
     use crypto_bigint::Odd;
 
     #[test]
diff --git a/src/algorithms/rsa.rs b/src/algorithms/rsa.rs
index 43671eac..2d61f732 100644
--- a/src/algorithms/rsa.rs
+++ b/src/algorithms/rsa.rs
@@ -424,6 +424,7 @@ pub(crate) fn compute_private_exponent_carmicheal(
 #[cfg(test)]
 mod tests {
     use super::*;
+    use core::mem;
 
     #[test]
     fn recover_primes_works() {
@@ -482,7 +483,7 @@ mod tests {
         let (mut p1, mut q1) = recover_primes(&NonZero::new(n).unwrap(), &e, &d).unwrap();
 
         if p1 < q1 {
-            std::mem::swap(&mut p1, &mut q1);
+            mem::swap(&mut p1, &mut q1);
         }
         assert_eq!(p, p1);
         assert_eq!(q, q1);
diff --git a/src/lib.rs b/src/lib.rs
index 1d823281..17683393 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -1,4 +1,4 @@
-#![cfg_attr(not(test), no_std)]
+#![no_std]
 #![cfg_attr(docsrs, feature(doc_cfg))]
 #![cfg_attr(feature = "getrandom", doc = include_str!("../README.md"))] // example needs `getrandom`
 #![doc(html_logo_url = "https://raw.githubusercontent.com/RustCrypto/meta/master/logo_small.png")]
@@ -174,10 +174,9 @@
 //!
 //! ### Example
 //!
-//! ```
-//! # fn main() -> Result<(), Box<dyn std::error::Error>> {
-//! # #[cfg(all(feature = "encoding", feature = "std"))]
-//! # {
+#![cfg_attr(feature = "encoding", doc = "```")]
+#![cfg_attr(not(feature = "encoding"), doc = "```ignore")]
+//! # fn main() -> Result<(), rsa::Error> {
 //! use rsa::{PublicKey, pkcs1::DecodeRsaPublicKey};
 //!
 //! let pem = "-----BEGIN RSA PUBLIC KEY-----
@@ -190,7 +189,6 @@
 //! -----END RSA PUBLIC KEY-----";
 //!
 //! let public_key = PublicKey::from_pkcs1_pem(pem)?;
-//! # }
 //! # Ok(())
 //! # }
 //! ```
@@ -218,10 +216,9 @@
 //!
 //! ### Example
 //!
-//! ```
-//! # fn main() -> Result<(), Box<dyn std::error::Error>> {
-//! # #[cfg(all(feature = "encoding", feature = "std"))]
-//! # {
+#![cfg_attr(feature = "encoding", doc = "```")]
+#![cfg_attr(not(feature = "encoding"), doc = "```ignore")]
+//! # fn main() -> Result<(), rsa::pkcs8::Error> {
 //! use rsa::{PublicKey, pkcs8::DecodePublicKey};
 //!
 //! let pem = "-----BEGIN PUBLIC KEY-----
@@ -235,7 +232,6 @@
 //! -----END PUBLIC KEY-----";
 //!
 //! let public_key = PublicKey::from_public_key_pem(pem)?;
-//! # }
 //! # Ok(())
 //! # }
 //! ```
diff --git a/src/oaep.rs b/src/oaep.rs
index cfd97fa4..a1444ece 100644
--- a/src/oaep.rs
+++ b/src/oaep.rs
@@ -406,6 +406,7 @@ mod tests {
     use crate::traits::{Decryptor, RandomizedDecryptor, RandomizedEncryptor};
     use crate::{PrivateKey, PublicKey};
 
+    use alloc::boxed::Box;
     use crypto_bigint::BoxedUint;
     use digest::{Digest, FixedOutputReset};
     use rand::rngs::ChaCha8Rng;
diff --git a/src/pss.rs b/src/pss.rs
index aa8e860c..7ac5393c 100644
--- a/src/pss.rs
+++ b/src/pss.rs
@@ -699,8 +699,7 @@ tAboUGBxTDq3ZroNism3DaMIbKPyYrAqhKov1h5V
     fn test_sign_and_verify_2049bit_key() {
         let plaintext = "Hello\n";
         let mut rng = ChaCha8Rng::from_seed([42; 32]);
-        for i in 0..10 {
-            println!("round {i}");
+        for _ in 0..10 {
             let priv_key = PrivateKey::new(&mut rng, 2049).unwrap();
 
             let digest = Sha1::digest(plaintext.as_bytes()).to_vec();