What is a good mathematics question to ask

What math problem have you always struggled with, though eventually figured it out?
Just curious on subjects.

At what level? I ask because my favourite two such problems to date are:

1) Proving that, over a finite field Z_p, the polynomial x^p - x is the product of all irreducible polynomials.
2) The sum of the infinite series, from n = 1 to infinity, of s_2(n) / [n(n + 1)] = 2ln(2), where s_2(n) is the binary digit sum of n

Wait, actually, I misremembered the first one. The real question is, prove that x^(p^n) - x is the product of all irreducible polynomials of degree m, where m is a divisor of n. My apologies.

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Heyy try something like.....


The nth term of:

1,12,17,18,26,35,44,59,178

Just a random question...



Psst WolframAlpha can help you on that...