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 Jul21 comment Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ @Akhil: You should give that as an answer Jul21 answered Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ Jul21 comment Sum of reciprocals of numbers with certain terms omitted Wow, this is a very interesting result Jul21 comment History of the Concept of a Ring How come you can write $x^p + y^p$ as $\prod (x+\zeta_p^i)$? Jul21 comment Is there possibly a largest prime number? @mau: I still don't get the mistake? Jul21 awarded Enlightened Jul21 awarded Nice Answer Jul21 awarded Mortarboard Jul21 comment What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$? Okay, so the annihilation leads to the mapping being a homomorphism as both rings are cyclic. Jul21 awarded Scholar Jul21 accepted Unital homomorphism Jul21 revised Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime added 51 characters in body Jul21 comment Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime For 2., it is vital that the inverse is unique. Otherwise, this is a very nice summary Jul21 comment What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$? What do you mean by $T \subset Z_{10}$? In fact, what do you mean by $T$? Jul21 asked Unital homomorphism Jul21 answered What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$? Jul21 revised Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime added 30 characters in body Jul21 revised Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime added 1066 characters in body; deleted 2 characters in body Jul21 revised Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime added 97 characters in body Jul21 answered Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime