query: Greatest common divisor of $(2^{21}-1,2^{27}-1)$
positive_passages.docid: 6012
positive_passages.text: Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$
negative_passages.docid: 27250
negative_passages.text: Greatest common divisor of two relatively primes
negative_passages.docid: 1713
negative_passages.text: number theory $\gcd(a,bc)=\gcd(a,c)$
negative_passages.docid: 110695
negative_passages.text: Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$
negative_passages.docid: 45213
negative_passages.text: Easiest and most complex proof of $\gcd (a,b) \times \operatorname{lcm} (a,b) =ab.$
negative_passages.docid: 24053
negative_passages.text: How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?
negative_passages.docid: 52546
negative_passages.text: How can I find the possible values that $\gcd(a+b,a^2+b^2)$ can take, if $\gcd(a,b)=1$
negative_passages.docid: 45947
negative_passages.text: Find generator of multiplicative group of $\mathbb{F}_{27}$
negative_passages.docid: 28957
negative_passages.text: Verifying that $2^{44}-1$ is divisible by $89$
negative_passages.docid: 91921
negative_passages.text: Divisibility of $n\cdot2^n+1$ by 3.
negative_passages.docid: 17194
negative_passages.text: $6^{(n+2)} + 7^{(2n+1)}$ is divisible by $43$ for $n \ge 1$
negative_passages.docid: 78852
negative_passages.text: If $\gcd(m,n) =1, $ then $m\mathbb{Z}/ mn\mathbb{Z} \cong \mathbb{Z}/(n)$
negative_passages.docid: 121706
negative_passages.text: Show $\text{det}(A)$ is divisible by $2^{n-1}$
negative_passages.docid: 83307
negative_passages.text: If $n\mid a^2-1$, $n$ an odd integer, show $n = \gcd(a-1, n)\gcd(a+1, n)$
negative_passages.docid: 25034
negative_passages.text: Fermat numbers are coprime
negative_passages.docid: 85688
negative_passages.text: How to show $\gcd(ac, bd) = \gcd(a,d) * \gcd(b,c)$
negative_passages.docid: 53777
negative_passages.text: Why is $\gcd(x^4+1,x^2-1) = 1$ but I get $2$? [unit normalization of gcds]