
Hi, Firstly I desire one year brilliant for all on group. I have one simple problem but not solved for me for some mistake mine. I have one Rational number (3 + sqrt 5) and I need get the last three digits from integral part of that number. The question is the number is arbitrary and that number always is power of n and n is between 2(Two) and 2000000000(Two billions). I have attempted that on ghci for various values and get same result with different powers: let x = (truncate ((3 + sqrt 5) ^ 2000000)) `mod` 1000 and result is 216. let y = (truncate ((3 + sqrt 5) ^ 20000000)) `mod` 1000 and result is 216. let w = (truncate ((3 + sqrt 5) ^ 200000000)) `mod` 1000 and result is 216. let z = (truncate ((3 + sqrt 5) ^ 2000000000)) `mod` 1000 and result is 216. The result is same for all: 216, and is incorrect because any that expressions have one exclusive value. What I do for complete that task correctly and what I'm mistaken here?! Thank you, Josenildo Silva