List questions from divisibility

Published on 19 Dec 2018 - 17:31

138

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Divisor of $x^2+x+1$ can be square number?

Published on 25 Mar 2026 - 18:48

87

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show that $(1^p)^k+(2^p)^k+\cdots+((p-1)^p)^k$ is divisible by $p$

Published on 20 Dec 2018 - 16:48

66

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About the prime divisor of a quadratic function

Published on 26 Mar 2026 - 8:12

198

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If $p \geq 11$ is a prime then either $p^3-1$ or $p^3+1$ is divisible by $14$

Published on 22 Dec 2018 - 10:18

56

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Need help understanding a step in an induction proof

Published on 26 Mar 2026 - 7:38

75

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Is this proposition about polynomials obvious or not?

Published on 24 Dec 2018 - 1:49

47

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Divide money and things equally between room mates

Published on 25 Mar 2026 - 1:23

482

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Prove that $n^{n-1} - 1$ is divisible by $(n-1)^2$

Published on 25 Dec 2018 - 21:11

60

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Proving expressions mod 13

Published on 26 Dec 2018 - 0:59

134

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Integer solutions to $x^2(y-1)+y^2(x-1)=1$

Published on 27 Dec 2018 - 18:06

104

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Fibonacci numbers. how to prove?

Published on 26 Mar 2026 - 6:18

243

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Proof of polynomial divisibility without using complex numbers?

Published on 28 Dec 2018 - 10:40

83

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Probability for composite $n$ to have prime factor $\geq \sqrt n$

Published on 25 Mar 2026 - 21:01

243

Views

In what kind of rings a divisor of a product is a product of divisors?

Published on 30 Dec 2018 - 17:50

List Question

Checking the proof of: find all primes $p$ such that $p^2\mid 5^{p^2} +1$

Divisor of $x^2+x+1$ can be square number?

show that $(1^p)^k+(2^p)^k+\cdots+((p-1)^p)^k$ is divisible by $p$

About the prime divisor of a quadratic function

If $p \geq 11$ is a prime then either $p^3-1$ or $p^3+1$ is divisible by $14$

Need help understanding a step in an induction proof

Is this proposition about polynomials obvious or not?

Divide money and things equally between room mates

Prove that $n^{n-1} - 1$ is divisible by $(n-1)^2$

Proving expressions mod 13

Integer solutions to $x^2(y-1)+y^2(x-1)=1$

Fibonacci numbers. how to prove?

Proof of polynomial divisibility without using complex numbers?

Probability for composite $n$ to have prime factor $\geq \sqrt n$

In what kind of rings a divisor of a product is a product of divisors?

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