One basic instrument in number theory and cryptography is to work with large numbers.
published at Technical Report WSI 96-35 at the Department of Computing Science of the University of Tuebingen, 1996
Many computational records were done based on it:
- zeta(3) record, Number Theory List (NMBRTHRY@LISTSERV.NODAK.EDU), December 1998.
- Exp(1): 869,894,101 decimal digits, Number Theory List (NMBRTHRY@LISTSERV.NODAK.EDU), October 1999.
But more relevant are the factorization algorithms.