Use Fermat's Little theorem to compute the following remainders for 4^241 (Always use canonical representatives.)
4^241= ____mod 5
4^241= ____mod 7
4^241= ____mod 11
Use your answers above to find the canonical representative of 4^241 mod 385 by using the Chinese Remainder Theorem. [Note 385=5X7X11 and that Fermat's Little Theorem cannot be used to directly find 4^241 mod 385 as 385 is not a prime.]
4^241 mod 385 is ____