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 Nov 6 comment Does the A001921 linear recurrent integer sequence always yield composite numbers? Why you considered $a(64n+17)$ and not $a(64n+33)$? Nov 6 comment Union of power sets of the counting numbers It's an infinite set that its elements are finite. Nov 6 comment Prove that $\frac{1}{a^3(b+c)}+\frac{1}{b^3(a+c)}+\frac{1}{c^3(a+b)}\ge \frac32$ How will you use the Cauchy-Schwarz? Do you mean the AM-GM inequality perhaps? Nov 6 comment Proving that $\frac{\pi ^2}{p}\neq \sum_{n=1}^{\infty }\frac{1}{a_{n}^2}$ What are the $a(n)$? Are you asking to prove that no sequence of positive integers can have this as result? Nov 6 revised does $\int_0^\infty x/(1+x^2 \sin^2x) \mathrm dx$ converge or diverge? Perhaps this is a better presentation of the proof's logic Nov 6 suggested approved edit on does $\int_0^\infty x/(1+x^2 \sin^2x) \mathrm dx$ converge or diverge? Nov 4 comment “Negative” versus “Minus” Why is this question protected and not closed as off-topic? It could well fit to Mathematics Education site, but not here in my opinion. Nov 4 comment Why is $Z_2 \times Z_3 \times Z_4$ not isomorphic to $Z_{24}$? Do 2 and 4 share no common factor? Nov 4 comment How would you show that $\sqrt{14+4\sqrt{10}} - \sqrt{14-4\sqrt{10}} = 4$? Nice. One could also prove first that (for \$0