I have been working with a mathematical proof for a whole day … just to finally give up. The technical details are quite abstract, so I’ve created a PDF file with all the information you need.

I have “discovered” a new arithmetic function which has a funny property. I just got the sequence for this function approved on OEIS (sequence A224914). But no one has proved the conjecture, so far. It’s quite thrilling!

Are you a math student or an expert on number theory? In that case, you might want to take a look at this:

The answer is 47 (open PDF in a new window)

Can you prove this new conjecture?