Just make use of the fact that: 
  (a * b) % c = ((a % c) * (b % c)) %c

[download]

So, 

  (1019 ** 1019) % 3337 =
 ((1019 ** 2) * (1019 ** 1017)) % 3337 =
(((1019 ** 2) % 3337) * (1019 ** 1017) % 3337)) % 3337

[download]

which shouldn't be too hard to continue.

Abigail

In reply to Re: The Exponentiation of (not-so) Large Primes by Abigail-II
in thread The Exponentiation of (not-so) Large Primes by titivillus

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