Question

Congruency of Numbers: Last digit of $(1234)^{64} + 3,333,333,333,333$

score 147 · Answer 1 · 2016-10-08 18:03:18

147

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Congruency of Numbers: Last digit of $(1234)^{64} + 3,333,333,333,333$

Published on 08 Oct 2016 - 18:03

score 93 · Answer 2 · 2016-10-08 19:39:05

93

Views

Show that $2^{84} \pmod{377} \equiv 1 $

Published on 08 Oct 2016 - 19:39

score 169 · Answer 3 · 2016-10-09 03:36:10

169

Views

number of different kinds of partitions of $n$ are the same

Published on 09 Oct 2016 - 3:36

score 1.7k · Answer 4 · 2026-03-25 09:29:18

1.7k

Views

Show that the $k^\text{th}$ powers of a reduced residue system form a reduced residue system if and only if $(k, \phi(m)) = 1$.

Published on 25 Mar 2026 - 9:29

score 53 · Answer 5 · 2016-10-10 19:33:52

53

Views

Prove the order of $ab^j \pmod p$

Published on 10 Oct 2016 - 19:33

score 71 · Answer 6 · 2016-10-11 05:25:09

71

Views

Solving simultaneous equations with different congruences

Published on 11 Oct 2016 - 5:25

score 980 · Answer 7 · 2016-10-11 23:02:00

980

Views

GCD and congruence proof

Published on 11 Oct 2016 - 23:02

score 132 · Answer 8 · 2026-03-26 23:11:46

132

Views

How can residue of a number whose exponent is negative can exist?

Published on 26 Mar 2026 - 23:11

score 134 · Answer 9 · 2016-10-12 18:31:53

134

Views

If x is congruent to -1 mod p , then how do we prove that x is congruent to $p$-$1$ mod $p$

Published on 12 Oct 2016 - 18:31

score 355 · Answer 10 · 2016-10-13 12:05:40

355

Views

Understanding the last step in solving a linear congruence?

Published on 13 Oct 2016 - 12:05

score 66 · Answer 11 · 2016-10-13 14:15:43

66

Views

Show that $a\equiv b \pmod{n_1n_2...n_r}$ if and only if $a \equiv b\pmod {n_i}$ for all $i = 1, 2,. . . , r$

Published on 13 Oct 2016 - 14:15

score 202 · Answer 12 · 2016-10-13 14:38:57

202

Views

How do I see that $a^2 \equiv 1 \mod{( p \cdot q)}$ has four incongruent solutions?

Published on 13 Oct 2016 - 14:38

score 430 · Answer 13 · 2016-10-14 04:33:53

430

Views

Find all incongruent solutions to this equation

Published on 14 Oct 2016 - 4:33

score 783 · Answer 14 · 2016-10-16 07:03:27

783

Views

Determine all natural numbers which when divided by 17 leave the remainder 3 and when divided by 6 leave the remainder 1

Published on 16 Oct 2016 - 7:03

score 210 · Answer 15 · 2016-10-16 09:25:10

210

Views

How to solve this equations in modular arithmetic? $6247x \equiv 1139 \pmod{9461}$

Published on 16 Oct 2016 - 9:25

List Question

Congruency of Numbers: Last digit of $(1234)^{64} + 3,333,333,333,333$

Show that $2^{84} \pmod{377} \equiv 1 $

number of different kinds of partitions of $n$ are the same

Show that the $k^\text{th}$ powers of a reduced residue system form a reduced residue system if and only if $(k, \phi(m)) = 1$.

Prove the order of $ab^j \pmod p$

Solving simultaneous equations with different congruences

GCD and congruence proof

How can residue of a number whose exponent is negative can exist?

If x is congruent to -1 mod p , then how do we prove that x is congruent to $p$-$1$ mod $p$

Understanding the last step in solving a linear congruence?

Show that $a\equiv b \pmod{n_1n_2...n_r}$ if and only if $a \equiv b\pmod {n_i}$ for all $i = 1, 2,. . . , r$

How do I see that $a^2 \equiv 1 \mod{( p \cdot q)}$ has four incongruent solutions?

Find all incongruent solutions to this equation

Determine all natural numbers which when divided by 17 leave the remainder 3 and when divided by 6 leave the remainder 1

How to solve this equations in modular arithmetic? $6247x \equiv 1139 \pmod{9461}$

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