Question

Remainder of an integer divided by 5 is the same as the remainder of the division of the rightmost digit by 5 how to prove this?

score 1k · Answer 1 · 2026-04-02 17:01:14

1k

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Remainder of an integer divided by 5 is the same as the remainder of the division of the rightmost digit by 5 how to prove this?

Published on 02 Apr 2026 - 17:01

score 1.6k · Answer 2 · 2026-03-29 03:36:48

1.6k

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Show that in any set of $2n$ integers, there is a subset of $n$ integers whose sum is divisible by $n$.

Published on 29 Mar 2026 - 3:36

score 40 · Answer 3 · 2019-10-10 17:25:52

40

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Some integer does not have a square root in $\mathbb{Z}_n$ if $n \geq 3$.

Published on 10 Oct 2019 - 17:25

score 788 · Answer 4 · 2019-10-10 18:24:29

788

Views

Show that if $d|b,$ then $ax \equiv b \mod{n}$ has a solution.

Published on 10 Oct 2019 - 18:24

score 390 · Answer 5 · 2026-04-11 22:17:18

390

Views

Problem with solving systems of linear congruence of two variables

Published on 11 Apr 2026 - 22:17

score 83 · Answer 6 · 2026-03-25 07:43:51

83

Views

Show that $4(p-5)! + 1 \equiv 0 \pmod p$

Published on 25 Mar 2026 - 7:43

score 270 · Answer 7 · 2019-10-11 14:35:52

270

Views

Solving Non-Linear Congruences

Published on 11 Oct 2019 - 14:35

score 50 · Answer 8 · 2026-04-11 23:22:47

50

Views

Seeking proof that powers of 3 greater than 9 divided into powers of 10, decimal representation with period greater than 1

Published on 11 Apr 2026 - 23:22

score 53 · Answer 9 · 2026-03-31 18:21:28

53

Views

The range of the solution of congruence equation. (Wilson’s theorem)

Published on 31 Mar 2026 - 18:21

score 166 · Answer 10 · 2026-04-10 02:20:45

166

Views

Direct proof of divisibility

Published on 10 Apr 2026 - 2:20

score 493 · Answer 11 · 2026-03-26 01:00:17

493

Views

Euclid Algorithm to Find Muliplicative Inverse

Published on 26 Mar 2026 - 1:00

score 250 · Answer 12 · 2026-03-30 06:48:56

250

Views

How would I solve $53^{1069}$ mod 54?

Published on 30 Mar 2026 - 6:48

score 761 · Answer 13 · 2026-04-11 23:38:32

761

Views

Congruence with a Prime-power Modulus

Published on 11 Apr 2026 - 23:38

score 70 · Answer 14 · 2019-10-13 23:19:18

70

Views

Help me find the pattern/idea of this

Published on 13 Oct 2019 - 23:19

score 548 · Answer 15 · 2019-10-14 01:06:44

548

Views

Prove that there are infinitely many primes congruent to 3 modulo 4

Published on 14 Oct 2019 - 1:06

List Question

Remainder of an integer divided by 5 is the same as the remainder of the division of the rightmost digit by 5 how to prove this?

Show that in any set of $2n$ integers, there is a subset of $n$ integers whose sum is divisible by $n$.

Some integer does not have a square root in $\mathbb{Z}_n$ if $n \geq 3$.

Show that if $d|b,$ then $ax \equiv b \mod{n}$ has a solution.

Problem with solving systems of linear congruence of two variables

Show that $4(p-5)! + 1 \equiv 0 \pmod p$

Solving Non-Linear Congruences

Seeking proof that powers of 3 greater than 9 divided into powers of 10, decimal representation with period greater than 1

The range of the solution of congruence equation. (Wilson’s theorem)

Direct proof of divisibility

Euclid Algorithm to Find Muliplicative Inverse

How would I solve $53^{1069}$ mod 54?

Congruence with a Prime-power Modulus

Help me find the pattern/idea of this

Prove that there are infinitely many primes congruent to 3 modulo 4

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