Question

Algorithm for allocating whole gold bars amongst thieves by % share of the booty

score 79 · Answer 1 · 2026-02-23 06:22:49

Algorithm for allocating whole gold bars amongst thieves by % share of the booty

Published on 23 Feb 2026 - 6:22

score 161 · Answer 2 · 2023-09-01 18:16:30

If $p^{n-1} + \cdots + p + 1$ divides $\sum\limits_{k=1}^m p^{j_k}(p^{i_k - 1} + \cdots p + 1)$, then $n$ divides $\sum\limits_{k=1}^m i_k$?

score 157 · Answer 3 · 2026-03-30 22:54:50

157

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How to get the smallest $n$ that $n^n$ is divisible by $m$.

Published on 30 Mar 2026 - 22:54

score 166 · Answer 4 · 2026-03-30 11:41:18

166

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With polynomial long division, why are the un-applied divisor terms still multiplied and subtracted?

Published on 30 Mar 2026 - 11:41

score 112 · Answer 5 · 2023-09-06 14:06:40

112

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Simultaneous divisibility condition

Published on 06 Sep 2023 - 14:06

score 95 · Answer 6 · 2023-09-07 16:48:56

95

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Number theory (Divisibility)

Published on 07 Sep 2023 - 16:48

score 89 · Answer 7 · 2026-03-25 10:52:44

89

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Is there any algorithm better than trial division to factor huge numbers?

Published on 25 Mar 2026 - 10:52

score 115 · Answer 8 · 2026-04-02 05:23:20

115

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If $10|abc$, prove that either $10|ab$, $10|bc$, or $10|ac$.

Published on 02 Apr 2026 - 5:23

score 115 · Answer 9 · 2023-09-10 12:40:31

115

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Proving an upper bound for solutions with divisibility

Published on 10 Sep 2023 - 12:40

score 37 · Answer 10 · 2026-03-25 14:33:38

37

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Determining which primes satisfy a set of quadratic divisibility conditions

Published on 25 Mar 2026 - 14:33

score 80 · Answer 11 · 2023-09-20 20:36:21

80

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Assuming $N$ is not a perfect square and that $D(k)$ is the set of positive divisors of $k$, then $|D(N)\cap [0, \sqrt{N}]| = |D(N)\cap [\sqrt{N},N]|$

Published on 20 Sep 2023 - 20:36

score 43 · Answer 12 · 2023-09-21 07:15:12

43

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Divisibility Rules

Published on 21 Sep 2023 - 7:15

score 65 · Answer 13 · 2023-09-23 20:23:15

65

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Prove that for all $n \in \mathbb{N}_0: \ 4^{2n + 1} + 3^{n+2} $ is divisible by 13.

Published on 23 Sep 2023 - 20:23

score 74 · Answer 14 · 2026-03-28 21:57:03

74

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Trouble manipulating quotients in $\mathbb{N}^\times$

Published on 28 Mar 2026 - 21:57

score 27 · Answer 15 · 2023-09-27 22:26:14

27

Views

If a number $n$ shares a common factor with $p^{\alpha}$, then $p|n$.

Published on 27 Sep 2023 - 22:26

List Question

Algorithm for allocating whole gold bars amongst thieves by % share of the booty

If $p^{n-1} + \cdots + p + 1$ divides $\sum\limits_{k=1}^m p^{j_k}(p^{i_k - 1} + \cdots p + 1)$, then $n$ divides $\sum\limits_{k=1}^m i_k$?

How to get the smallest $n$ that $n^n$ is divisible by $m$.

With polynomial long division, why are the un-applied divisor terms still multiplied and subtracted?

Simultaneous divisibility condition

Number theory (Divisibility)

Is there any algorithm better than trial division to factor huge numbers?

If $10|abc$, prove that either $10|ab$, $10|bc$, or $10|ac$.

Proving an upper bound for solutions with divisibility

Determining which primes satisfy a set of quadratic divisibility conditions

Assuming $N$ is not a perfect square and that $D(k)$ is the set of positive divisors of $k$, then $|D(N)\cap [0, \sqrt{N}]| = |D(N)\cap [\sqrt{N},N]|$

Divisibility Rules

Prove that for all $n \in \mathbb{N}_0: \ 4^{2n + 1} + 3^{n+2} $ is divisible by 13.

Trouble manipulating quotients in $\mathbb{N}^\times$

If a number $n$ shares a common factor with $p^{\alpha}$, then $p|n$.

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