April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Time-Space Trade-off 459
However, the only two such numbers less than 10
6
are 2,71,441 and 9,04,631. So apparently these counter-
examples to the primality of Perrin pseudo-primes are exceedingly rare. While this gives a clear answer to the
question posed at the beginning, it is astounding that there are very few composite Perrin pseudo-primes.
In fact, it is this property of Perrin numbers which makes them attractive for cryptography work.This
is as far as Perrin numbers are considered, but what have we learnt from this case study? We fi nd that we
obtained enormous gain in effi ciency by judiciously using more memory. With addition of more memory ...
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