I'm still trying to learn a bit about Sage in general and python in
particular. I was trying to code the Lucas-Lehmer Test for primality
of Mersenne Numbers of the form 2**p-1 where p is an odd integer.
I found this code on wikipedia
def lucas_lehmer(p):
s = 4
m = (2**p)-1
for i in range(0, p-2):
s = ((s*s)-2)%m
return (s==0)
Can anyone out there please comment on the correctness of this boolean
function? This does not look like the Lucas-Lehmer Test I've seen
before. Isn't the idea is to be able to test large values of 2**p-1
without calculating 2**p-1, right? This function dosn't do that!
Anyone recall the correct algorithm for this test?
TIA,
A. Jorge Garcia
calcp...@aol.com
http://calcapge.tripod.com
Applied Math, Physics and CompSci
Baldwin High School & Nassau Community College
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