#[{(a+2)^n - (a+1)^n} - {(a+1)^n - (a^n)} pm 1] # is a prime number when #a# is a real number and #n# is a positive odd number. How do we proof it?
2 Answers
Jun 26, 2016
This proposition is false.
Explanation:
Consider the case
Then:
#[{(a+2)^n-(a+1)^n}-{(a+1)^n-(a^n)}+-1]#
#=[{(a+2)-(a+1)}-{(a+1)-(a)}+-1]#
#=[1-1+-1]#
#=+-1#
Neither
So the proposition is false.
Jun 26, 2016
The assertion is false
Explanation:
where
But
being divisible for