What property of $n$ does this test?

Question

I have the following sample data:

1       true
3       false
12      false
10      true
7       true
9       false
8       false

My question is, what property of $n$ does this test?

I have tried several things like prime number, composite number, happy number, etc., but nothing seems to fit the test cases. Can anybody help me?

@barakmanos that will be just for the data i posted but I have limited that there is a lot more data that I am working on, So I had to check what was the property and it was congruent modulo as answered by Peter. — Syed Farjad Zia Zaidi, Jan 18 '15 at 21:14
Unless you post that other data, both comments above are eligible answers (and there are plenty more). — barak manos, Jan 18 '15 at 21:15

score 4 · Accepted Answer · edited Jan 18 '15 at 21:07

4

The property is $$n\equiv 1\ (\mod\ 3\ )$$

edited Jan 18 '15 at 21:07

beep-boop

answered Jan 18 '15 at 20:59

Peter

user6560 · Answer 2 · 2015-01-18T21:15:06.357

1

There can be many answers to this, even as simple as:

Is $n$ a root of $n^3-18n^2+87n-70$?

or

Does $n$ divide $70$?

edited Jan 18 '15 at 21:15

answered Jan 18 '15 at 21:05

user6560

2 Answers2