Sunday, 28 May 2023 03:44 pm
The Luck of the Eulerish
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deckardcanineI’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.
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.