If I'm understanding what you're saying, what you're doing is finding some adjacent scale tones around your 1, 3, and 5.

2 frets above your 5, you have a 6th scale degree.

2 frets above your 1, you have the 2nd scale degree.

3 frets above your 3, you have the 5th scale degree.

So, what you've found is a little major-tonality scale with the scale degrees 1-2-3-5-6. (No 4th, no 7th). That is a Major Pentatonic scale.

-Carl.