query: Number Theory - Order of $p^2$
positive_passages.docid: 120629
positive_passages.text: Prove if $n$ has a primitive root, then it has exactly $\phi(\phi(n))$ of them
negative_passages.docid: 51373
negative_passages.text: $G$ non abelian, order $p^3$ ($p$ prime). Suppose that the center is $p^2$, prove that $\exists\ x$ outside of the center, of order p
negative_passages.docid: 102634
negative_passages.text: Order of the Rubik's cube group
negative_passages.docid: 127816
negative_passages.text: Number theory proof mod p
negative_passages.docid: 153647
negative_passages.text: Elementary number theory and quadratic
negative_passages.docid: 122970
negative_passages.text: A question on $p$-groups, and order of its commutator subgroup.
negative_passages.docid: 8434
negative_passages.text: Order of $\mathbb{Z}[i]/(1+i)$
negative_passages.docid: 86626
negative_passages.text: Finite fields, existence of field of order $p^n$,proof help
negative_passages.docid: 7894
negative_passages.text: Does it follow that $(n!)^n$ divide $(n^2)!$
negative_passages.docid: 66877
negative_passages.text: Showing groups of order $p^{k}(p+1)$ are not simple, p prime
negative_passages.docid: 50596
negative_passages.text: $p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
negative_passages.docid: 157806
negative_passages.text: Order of a element on a Symmetric Group
negative_passages.docid: 33300
negative_passages.text: Showing order of $Z (G) =1$ or $pq$
negative_passages.docid: 99205
negative_passages.text: Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
negative_passages.docid: 92024
negative_passages.text: Elementary number theory - prerequisites
negative_passages.docid: 56607
negative_passages.text: gcd and order of elements of group
negative_passages.docid: 152231
negative_passages.text: Computing the product of p/(p - 2) over the odd primes