Determine the integer(s) n for which [n²/3] is a prime.
Note: [x] is the greatest integer ≤ x (floor function).
Following up on K.S.' extension to negative integers and F.K.'s generalization of primes, I suggest to further expand the scope of this puzzle to the complex case to make it more interesting:
- A complex integer shall be any number a+bi with integers a and b.
- We define [x+yi]:=[x]+[y]i.
- A complex integer is a prime if any of its factorizations into two integers contains -1, 1, i or -i as a factor.
Anyone able to crack this one?
Posted by JLo
on 2006-12-10 07:23:38