Wie extrahiere ich einen privaten RSA-Schlüssel aus einer PEM-codierten Datei?

...
// Skip version seq[0];
BigInteger modulus = seq[1].getBigInteger();
BigInteger publicExp = seq[2].getBigInteger();
BigInteger privateExp = seq[3].getBigInteger();
...
RSAPrivateCrtKeySpec keySpec = new RSAPrivateCrtKeySpec(modulus, publicExp, privateExp, prime1, prime2, exp1, exp2, crtCoef);

KeyFactory factory = KeyFactory.getInstance("RSA");
return factory.generatePrivate(keySpec);
...

import java.io.File;
import java.io.IOException;
import java.security.GeneralSecurityException;
import java.security.PrivateKey;

public static PrivateKey pemFileLoadPrivateKeyPkcs1(File pemFileName) throws GeneralSecurityException, IOException {
    // PKCS#1 format
    String PEM_RSA_PRIVATE_START = "-----BEGIN RSA PRIVATE KEY-----";
    String PEM_RSA_PRIVATE_END = "-----END RSA PRIVATE KEY-----";

    Path path = Paths.get(pemFileName.getAbsolutePath());
    String privateKeyPem = new String(Files.readAllBytes(path));
    privateKeyPem = privateKeyPem.replace(PEM_RSA_PRIVATE_START, "").replace(PEM_RSA_PRIVATE_END, "");
    privateKeyPem = privateKeyPem.replaceAll("\s", "");

    DerInputStream derReader = new DerInputStream(Base64.getDecoder().decode(privateKeyPem));
    DerValue[] seq = derReader.getSequence(0);

    if (seq.length < 9) {
        throw new GeneralSecurityException("Could not parse a PKCS1 private key.");
    }

    // Skip version seq[0];
    BigInteger modulus = seq[1].getBigInteger();
    BigInteger publicExp = seq[2].getBigInteger();
    BigInteger privateExp = seq[3].getBigInteger();
    BigInteger prime1 = seq[4].getBigInteger();
    BigInteger prime2 = seq[5].getBigInteger();
    BigInteger exp1 = seq[6].getBigInteger();
    BigInteger exp2 = seq[7].getBigInteger();
    BigInteger crtCoef = seq[8].getBigInteger();

    RSAPrivateCrtKeySpec keySpec = new RSAPrivateCrtKeySpec(modulus, publicExp, privateExp, prime1, prime2, exp1, exp2, crtCoef);
    KeyFactory factory = KeyFactory.getInstance("RSA");
    return factory.generatePrivate(keySpec);
}