Parser une clé RSA PKCS#8

import java.security.KeyFactory;
import java.security.interfaces.RSAPrivateCrtKey;
import java.security.spec.PKCS8EncodedKeySpec;
import java.util.Base64;

public class TestRsa {
    public static void main(String[] args) throws Exception {
        String base64 = // https://en.wikipedia.org/wiki/PKCS_8
                "MIIBVgIBADANBgkqhkiG9w0BAQEFAASCAUAwggE8AgEAAkEAq7BFUpkGp3+LQmlQ" +
                "Yx2eqzDV+xeG8kx/sQFV18S5JhzGeIJNA72wSeukEPojtqUyX2J0CciPBh7eqclQ" +
                "2zpAswIDAQABAkAgisq4+zRdrzkwH1ITV1vpytnkO/NiHcnePQiOW0VUybPyHoGM" +
                "/jf75C5xET7ZQpBe5kx5VHsPZj0CBb3b+wSRAiEA2mPWCBytosIU/ODRfq6EiV04" +
                "lt6waE7I2uSPqIC20LcCIQDJQYIHQII+3YaPqyhGgqMexuuuGx+lDKD6/Fu/JwPb" +
                "5QIhAKthiYcYKlL9h8bjDsQhZDUACPasjzdsDEdq8inDyLOFAiEAmCr/tZwA3qeA" +
                "ZoBzI10DGPIuoKXBd3nk/eBxPkaxlEECIQCNymjsoI7GldtujVnr1qT+3yedLfHK" +
                "srDVjIT3LsvTqw==";
        byte[] key = Base64.getDecoder().decode(base64);
        RSAPrivateCrtKey privateKey = (RSAPrivateCrtKey) KeyFactory.getInstance("RSA")
                .generatePrivate(new PKCS8EncodedKeySpec(key));
        System.out.println("n=" + privateKey.getModulus());        // n=89920594...
        System.out.println("p=" + privateKey.getPrimeP());         // p=98780596...
        System.out.println("q=" + privateKey.getPrimeQ());         // q=91030625...
        System.out.println("d=" + privateKey.getPrivateExponent());// d=17043709...
        System.out.println("e=" + privateKey.getPublicExponent()); // e=65537
    }
}