Question

How to solve $x^{2}\equiv-7\:\left(128\right)$?

score 99 · Answer 1 · 2019-09-21 10:01:35

99

Views

How to solve $x^{2}\equiv-7\:\left(128\right)$?

Published on 21 Sep 2019 - 10:01

score 251 · Answer 2 · 2019-09-21 12:43:39

251

Views

How many incongruent solutions are there for $x^{2}\equiv49\:\left(10^{6}\right)$?

Published on 21 Sep 2019 - 12:43

score 121 · Answer 3 · 2019-09-21 17:37:11

121

Views

Sum of quadratic residues.

Published on 21 Sep 2019 - 17:37

score 79 · Answer 4 · 2019-09-21 19:53:10

79

Views

How to evaluate $3^{123}\!\bmod 3\,$ and $5^{123}\! \bmod 2$ and similar?

Published on 21 Sep 2019 - 19:53

score 1.6k · Answer 5 · 2026-03-29 03:35:33

1.6k

Views

Sum of squares of 3 consecutive numbers is not a perfect square

Published on 29 Mar 2026 - 3:35

score 81 · Answer 6 · 2026-03-29 06:27:13

81

Views

equivalence relations with modular arithmetic

Published on 29 Mar 2026 - 6:27

score 116 · Answer 7 · 2026-03-26 23:09:17

116

Views

With an option to reduce any pair satisfying a relation, repeatedly reduce a collection.

Published on 26 Mar 2026 - 23:09

score 87 · Answer 8 · 2019-09-23 03:32:11

87

Views

Solving the congruence relation $90\equiv 6 \pmod n$

Published on 23 Sep 2019 - 3:32

score 99 · Answer 9 · 2019-09-24 08:56:17

99

Views

When can negative numbers be taken as representatives in modular arithmetic?

Published on 24 Sep 2019 - 8:56

score 852 · Answer 10 · 2026-03-27 00:59:03

852

Views

Confusion regarding the definition of addition modulo $n$ on the group $Z_n$.

Published on 27 Mar 2026 - 0:59

score 90 · Answer 11 · 2019-09-25 07:45:46

90

Views

Last digit in base $10$ for $3^{22}$?

Published on 25 Sep 2019 - 7:45

score 53 · Answer 12 · 2019-09-25 17:02:25

53

Views

Find all numbers that are invertible in a certain set.

Published on 25 Sep 2019 - 17:02

score 93 · Answer 13 · 2026-03-26 21:26:10

93

Views

For which $[a]_7 ∈ \Bbb Z/7 \Bbb Z$ does $([x]_7)^2 = [a]_7$ have a solution $[x]_7 ∈ \Bbb Z/7 \Bbb Z$?

Published on 26 Mar 2026 - 21:26

score 68 · Answer 14 · 2026-04-03 05:50:55

68

Views

Can checking additional congruencies be done for the strong version of Lucas test?

Published on 03 Apr 2026 - 5:50

score 868 · Answer 15 · 2026-03-28 03:01:10

868

Views

Prove $\forall n\ge0,43\mid 6^{n+2}+7^{2n+1}$ in three ways

Published on 28 Mar 2026 - 3:01

List Question

How to solve $x^{2}\equiv-7\:\left(128\right)$?

How many incongruent solutions are there for $x^{2}\equiv49\:\left(10^{6}\right)$?

Sum of quadratic residues.

How to evaluate $3^{123}\!\bmod 3\,$ and $5^{123}\! \bmod 2$ and similar?

Sum of squares of 3 consecutive numbers is not a perfect square

equivalence relations with modular arithmetic

With an option to reduce any pair satisfying a relation, repeatedly reduce a collection.

Solving the congruence relation $90\equiv 6 \pmod n$

When can negative numbers be taken as representatives in modular arithmetic?

Confusion regarding the definition of addition modulo $n$ on the group $Z_n$.

Last digit in base $10$ for $3^{22}$?

Find all numbers that are invertible in a certain set.

For which $[a]_7 ∈ \Bbb Z/7 \Bbb Z$ does $([x]_7)^2 = [a]_7$ have a solution $[x]_7 ∈ \Bbb Z/7 \Bbb Z$?

Can checking additional congruencies be done for the strong version of Lucas test?

Prove $\forall n\ge0,43\mid 6^{n+2}+7^{2n+1}$ in three ways

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