Question

Divisibility by 101; a problem with induction

score 142 · Answer 1 · 2026-04-11 03:47:59

142

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Divisibility by 101; a problem with induction

Published on 11 Apr 2026 - 3:47

score 669 · Answer 2 · 2026-04-12 12:23:27

669

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Probability that $2^a+3^b+5^c$ is divisible by 4

Published on 12 Apr 2026 - 12:23

score 121 · Answer 3 · 2016-01-13 19:04:17

121

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If $a\mid b^2, b^2\mid a^3,\ldots ,a^n\mid b^{n+1},b^{n+1}\mid a^{n+2},\ldots$ then $a=b$

Published on 13 Jan 2016 - 19:04

score 438 · Answer 4 · 2026-04-13 22:10:40

438

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If the $81$ digit number $111\cdots 1$ is divided by $729$, the remainder is?

Published on 13 Apr 2026 - 22:10

score 55 · Answer 5 · 2026-04-14 06:13:42

55

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Divisibility (algebra, number theory).

Published on 14 Apr 2026 - 6:13

score 136 · Answer 6 · 2026-04-13 23:23:29

136

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Can the min/max value of a quotient be calculated for a simple division?

Published on 13 Apr 2026 - 23:23

score 100 · Answer 7 · 2026-04-12 22:13:44

100

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Suppose $d$ is a common divisor of two numbers $a_0$ and $a_1$, can $d$ be written as a linear combination of $a_0$,$a_1$ with integer coefficients?

Published on 12 Apr 2026 - 22:13

score 180 · Answer 8 · 2026-04-12 07:52:54

180

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Induction: Prove that $5^{3n} + 7^{2n-1}$ is divisible by $4$

Published on 12 Apr 2026 - 7:52

score 193 · Answer 9 · 2026-04-12 05:29:12

193

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Are there a closed form of near solutions to the equation: $2\sigma(n)=3n$?

Published on 12 Apr 2026 - 5:29

score 51 · Answer 10 · 2026-04-12 15:24:37

51

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Simple equation - prove division

Published on 12 Apr 2026 - 15:24

score 184 · Answer 11 · 2016-01-18 18:28:05

184

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Prove: If $a|c \wedge b | c \wedge (a, b) = d \Rightarrow ab | cd$

Published on 18 Jan 2016 - 18:28

score 337 · Answer 12 · 2026-04-13 18:15:33

337

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Find all integer solutions to $a+b+c|ab+bc+ca|abc$

Published on 13 Apr 2026 - 18:15

score 56 · Answer 13 · 2016-01-19 09:51:34

56

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find smallest number $M$ for which the remainder of $N/M$ is equal to $3$

Published on 19 Jan 2016 - 9:51

score 99 · Answer 14 · 2026-04-06 18:44:29

99

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Proof: divisibility

Published on 06 Apr 2026 - 18:44

score 15.6k · Answer 15 · 2026-04-13 12:47:16

15.6k

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How to prove that all odd powers of two add one are multiples of three

Published on 13 Apr 2026 - 12:47

List Question

Divisibility by 101; a problem with induction

Probability that $2^a+3^b+5^c$ is divisible by 4

If $a\mid b^2, b^2\mid a^3,\ldots ,a^n\mid b^{n+1},b^{n+1}\mid a^{n+2},\ldots$ then $a=b$

If the $81$ digit number $111\cdots 1$ is divided by $729$, the remainder is?

Divisibility (algebra, number theory).

Can the min/max value of a quotient be calculated for a simple division?

Suppose $d$ is a common divisor of two numbers $a_0$ and $a_1$, can $d$ be written as a linear combination of $a_0$,$a_1$ with integer coefficients?

Induction: Prove that $5^{3n} + 7^{2n-1}$ is divisible by $4$

Are there a closed form of near solutions to the equation: $2\sigma(n)=3n$?

Simple equation - prove division

Prove: If $a|c \wedge b | c \wedge (a, b) = d \Rightarrow ab | cd$

Find all integer solutions to $a+b+c|ab+bc+ca|abc$

find smallest number $M$ for which the remainder of $N/M$ is equal to $3$

Proof: divisibility

How to prove that all odd powers of two add one are multiples of three

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