Question

Number Theory - Prove $n^2$ and $n-1$ are coprime

score 169 · Answer 1 · 2017-11-12 14:05:10

169

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Number Theory - Prove $n^2$ and $n-1$ are coprime

Published on 12 Nov 2017 - 14:05

score 1.4k · Answer 2 · 2017-11-15 12:47:15

1.4k

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Product of coprimes less than n

Published on 15 Nov 2017 - 12:47

score 145 · Answer 3 · 2017-11-15 20:14:46

145

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Prime Labeling of Caterpillars

Published on 15 Nov 2017 - 20:14

score 93 · Answer 4 · 2017-11-16 13:57:56

93

Views

Proof for $gcd(a^x,b^y)=gcd(a,b)^z$ for a,b,x and y positive integers

Published on 16 Nov 2017 - 13:57

score 1.5k · Answer 5 · 2017-11-19 21:09:04

1.5k

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number of coprime divisors of n with their difference divisible by 3

Published on 19 Nov 2017 - 21:09

score 51 · Answer 6 · 2017-11-22 19:54:17

51

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Prove that for any natural $a$ there is a natural $b$ so that $a$ and $b$ are coprime and $a+b^2$ is not a prime

Published on 22 Nov 2017 - 19:54

score 19 · Answer 7 · 2017-12-07 00:04:10

19

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Equivalent Sets of Complex Exponentials

Published on 07 Dec 2017 - 0:04

score 355 · Answer 8 · 2017-12-19 06:06:34

355

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Is there any similar solutions including $\pi$ like $1-\frac{1}{2}+\frac{1}{4}-\frac{1}{5}+\cdots=\frac{\pi}{3\sqrt{3}}$?

Published on 19 Dec 2017 - 6:06

score 48 · Answer 9 · 2017-12-26 17:18:42

48

Views

How can we prove $\sum\limits_{n=1}^{k}\frac{f(m,n)}{n}\approx\frac{\varphi(m)}{m}(\ln(k\prod\limits_{p|m}p^{\frac{1}{p-1}})+\gamma)$?

Published on 26 Dec 2017 - 17:18

score 15.9k · Answer 10 · 2012-10-22 18:30:55

15.9k

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How many numbers in a given range are coprime to $N$?

Published on 22 Oct 2012 - 18:30

score 15k · Answer 11 · 2012-12-12 21:07:15

15k

Views

If $(a,b)=1$ then prove $(a+b, ab)=1$.

Published on 12 Dec 2012 - 21:07

score 815 · Answer 12 · 2020-08-04 19:30:34

815

Views

What is the opposite of "coprime integers"?

Published on 04 Aug 2020 - 19:30

score 38 · Answer 13 · 2020-08-07 22:33:01

38

Views

On $n$ primes spaced in $n$ equal intervals, and empirical evidence as proof

Published on 07 Aug 2020 - 22:33

score 59 · Answer 14 · 2020-08-22 21:30:59

59

Views

Is $\gcd(p_1^{n_1},\cdots,p_k^{n_k})=1$ if each $p_i$ is a prime number?

Published on 22 Aug 2020 - 21:30

score 43 · Answer 15 · 2020-08-25 20:14:01

43

Views

operations in determinant

Published on 25 Aug 2020 - 20:14

List Question

Number Theory - Prove $n^2$ and $n-1$ are coprime

Product of coprimes less than n

Prime Labeling of Caterpillars

Proof for $gcd(a^x,b^y)=gcd(a,b)^z$ for a,b,x and y positive integers

number of coprime divisors of n with their difference divisible by 3

Prove that for any natural $a$ there is a natural $b$ so that $a$ and $b$ are coprime and $a+b^2$ is not a prime

Equivalent Sets of Complex Exponentials

Is there any similar solutions including $\pi$ like $1-\frac{1}{2}+\frac{1}{4}-\frac{1}{5}+\cdots=\frac{\pi}{3\sqrt{3}}$?

How can we prove $\sum\limits_{n=1}^{k}\frac{f(m,n)}{n}\approx\frac{\varphi(m)}{m}(\ln(k\prod\limits_{p|m}p^{\frac{1}{p-1}})+\gamma)$?

How many numbers in a given range are coprime to $N$?

If $(a,b)=1$ then prove $(a+b, ab)=1$.

What is the opposite of "coprime integers"?

On $n$ primes spaced in $n$ equal intervals, and empirical evidence as proof

Is $\gcd(p_1^{n_1},\cdots,p_k^{n_k})=1$ if each $p_i$ is a prime number?

operations in determinant

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