List questions from divisibility

Published on 15 May 2014 - 6:27

3.2k

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How does $n!^2$ divide $(2n)!$?

Published on 27 Mar 2026 - 16:19

31

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$(x+b)^3\mid P(x)+a$ and $(x-a)^3\mid P(x)-a$

Published on 15 May 2014 - 22:36

115

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The elegant expression in terms of gcd and lcm - algebra

Published on 17 May 2014 - 1:12

367

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Moving up the Y axis the length of the hypotenuse of a right triangle

Published on 17 May 2014 - 12:25

413

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Vieta jumping with non-monic polynomials

Published on 29 Mar 2026 - 19:09

81

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Verify my proof on elementary number theory

Published on 25 Mar 2026 - 10:52

45

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Divisibility Problem: How can I solve this?

Published on 19 May 2014 - 7:35

90

Views

For how many values of $a,b,c\in(1,2\ldots,p-1)$ does $p$ | $({a^2}-bc)$ where $p$ is an odd prime number

Published on 20 May 2014 - 12:14

510

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Asymptotic divisor function / primorials

Published on 20 May 2014 - 19:04

27k

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Is $x/x$ equal to $1$

Published on 21 May 2014 - 14:27

261

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How many regulars do the primorials 223092870 and 6469693230 have?

Published on 25 Mar 2026 - 7:47

71

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Prove the following :

Published on 23 May 2014 - 16:04

247

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How to calculate "gcd product" $\operatorname{gcdp}(n,m)=\gcd(n,1)\gcd(n,2)\cdots\gcd(n,m)$

Published on 26 Mar 2026 - 23:10

110

Views

Prove that a sequence of $11$ numbers always contains six numbers summing up to a multiple of $6$.

Published on 24 May 2014 - 1:33

List Question

Properties of Integers

How does $n!^2$ divide $(2n)!$?

$(x+b)^3\mid P(x)+a$ and $(x-a)^3\mid P(x)-a$

The elegant expression in terms of gcd and lcm - algebra

Moving up the Y axis the length of the hypotenuse of a right triangle

Vieta jumping with non-monic polynomials

Verify my proof on elementary number theory

Divisibility Problem: How can I solve this?

For how many values of $a,b,c\in(1,2\ldots,p-1)$ does $p$ | $({a^2}-bc)$ where $p$ is an odd prime number

Asymptotic divisor function / primorials

Is $x/x$ equal to $1$

How many regulars do the primorials 223092870 and 6469693230 have?

Prove the following :

How to calculate "gcd product" $\operatorname{gcdp}(n,m)=\gcd(n,1)\gcd(n,2)\cdots\gcd(n,m)$

Prove that a sequence of $11$ numbers always contains six numbers summing up to a multiple of $6$.

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