diff --git a/phpseclib/Math/BigInteger.php b/phpseclib/Math/BigInteger.php
index 677b2ff2..875f2b36 100644
--- a/phpseclib/Math/BigInteger.php
+++ b/phpseclib/Math/BigInteger.php
@@ -138,6 +138,7 @@ class BigInteger implements \Serializable
                     self::setEngine($engine[0], isset($engine[1]) ? $engine[1] : []);
                     break;
                 } catch (\InvalidArgumentException $e) {
+                } catch (BadConfigurationException $e) {
                 }
             }
         }
diff --git a/tests/Unit/Math/BigIntegerTest.php b/tests/Unit/Math/BigIntegerTest.php
new file mode 100644
index 00000000..faea93f0
--- /dev/null
+++ b/tests/Unit/Math/BigIntegerTest.php
@@ -0,0 +1,73 @@
+<?php
+
+use phpseclib\Math\BigInteger;
+use phpseclib\Math\BigInteger\Engines\BCMath;
+use phpseclib\Math\BigInteger\Engines\GMP;
+use phpseclib\Math\BigInteger\Engines\PHP32;
+use phpseclib\Math\BigInteger\Engines\PHP64;
+
+class Unit_Math_BigIntegerTest extends PhpseclibTestCase
+{
+
+	/**
+	 * @param string $className
+	 * @param bool   $isValid
+	 */
+	private static function mockEngine($className, $isValid) {
+		eval(<<<ENGINE
+namespace phpseclib\Math\BigInteger\Engines;
+class ${className} extends \phpseclib\Math\BigInteger\Engines\Engine {
+	public function __construct(){} 
+	public static function isValidEngine() { return ${isValid}; }
+	public static function setModExpEngine(\$engine){} 
+	public function toString() { return __CLASS__; }
+}
+ENGINE
+		);
+	}
+
+	public static function provideBadConfigurationException() {
+		return [
+			[
+				GMP::class,
+				['GMP', true],
+			],
+			[
+				PHP64::class,
+				['GMP', false],
+				['PHP64', true],
+			],
+			[
+				BCMath::class,
+				['GMP', false],
+				['PHP64', false],
+				['BCMath', true],
+			],
+			[
+				PHP32::class,
+				['GMP', false],
+				['PHP64', false],
+				['BCMath', false],
+				['PHP32', true],
+			],
+		];
+	}
+
+	/**
+	 * BigInteger should choose another engine if one is not valid
+	 * @dataProvider         provideBadConfigurationException
+	 * @preserveGlobalState  disabled
+	 * @runInSeparateProcess mocks must not disturb other tests
+	 * @param string  $expectedEngineClass
+	 * @param array[] ...$engines
+	 */
+	public function testBadConfigurationException($expectedEngineClass, array ...$engines) {
+		foreach ($engines as $engine) {
+			static::mockEngine($engine[0], $engine[1]);
+		}
+
+		$bigint = new BigInteger();
+
+		static::assertSame($expectedEngineClass, $bigint->toString());
+	}
+}