The Luck of the Eulerish

I’ve learned about a number set (a thing I do for fun)
Of 2, 3, 5, 11, 17, and 41.
They’re Euler’s “lucky” numbers, and the formula’s like so:
All positive k integers below these n’s will show
That k^2 – k + n is bound to yield a prime.
(If k were n, the value would be n^2 every time.)
You’ll notice one’s much larger than the others in the set.
It’s now my age. Here’s hoping that my luck increases yet.