Question

The function $g: \Bbb{Z}_{10} → \Bbb{Z}_{10}$ is defined by $g(x) ≡ 7x + 2 \mod 10$. Find its inverse function.

score 167 · Answer 1 · 2019-07-21 15:07:27

167

Views

The function $g: \Bbb{Z}_{10} → \Bbb{Z}_{10}$ is defined by $g(x) ≡ 7x + 2 \mod 10$. Find its inverse function.

Published on 21 Jul 2019 - 15:07

score 92 · Answer 2 · 2019-07-21 19:17:52

92

Views

Are there some known results for solving this kind of modular arithmetic problem?

Published on 21 Jul 2019 - 19:17

score 50 · Answer 3 · 2019-07-22 00:00:03

50

Views

A linear operator in a linear space over a finite field that preserves the usual sum

Published on 22 Jul 2019 - 0:00

score 1.3k · Answer 4 · 2026-03-28 03:26:26

1.3k

Views

Determining whether a base is a Generator in $Z^*_{11}$ as well as differentiating Primitive Root and/or Primitive Element?

Published on 28 Mar 2026 - 3:26

score 93 · Answer 5 · 2019-07-22 09:11:15

93

Views

How to deal with modulo of $ \sum \binom{n}{r}$?

Published on 22 Jul 2019 - 9:11

score 623 · Answer 6 · 2026-03-29 06:55:39

623

Views

Prove That $3^n + 8^n$ is Not Divisible by $5$ (Using Induction)

Published on 29 Mar 2026 - 6:55

score 82 · Answer 7 · 2019-07-22 16:37:21

82

Views

Congruences. $1^5 + 2^5 + 3^5 + \cdots + 11^5 \equiv i \pmod {3}$

Published on 22 Jul 2019 - 16:37

score 778 · Answer 8 · 2026-03-28 10:04:35

778

Views

Which primes $p$ satisfy $n^2 \equiv -1 \mod p$ for a perfect square $n^2$?

Published on 28 Mar 2026 - 10:04

score 140 · Answer 9 · 2019-07-23 08:39:17

140

Views

Find polynomial with some conditions

Published on 23 Jul 2019 - 8:39

score 33 · Answer 10 · 2019-07-23 10:11:51

33

Views

Finding an expression relating two congruence moduli

Published on 23 Jul 2019 - 10:11

score 500 · Answer 11 · 2019-07-24 00:50:41

500

Views

Are primes (ignoring $2$) equally likely to be $1~\text{or}~3\pmod 4$?

Published on 24 Jul 2019 - 0:50

score 112 · Answer 12 · 2026-04-01 22:14:25

112

Views

Strong Induction Number Theory

Published on 01 Apr 2026 - 22:14

score 439 · Answer 13 · 2019-07-24 22:29:46

439

Views

Modular arithmetic. $x \equiv 1 \pmod {m^k}$ implies $x^m \equiv 1 \pmod {m^{k+1}}$

Published on 24 Jul 2019 - 22:29

score 120 · Answer 14 · 2019-07-25 19:59:08

120

Views

find the sum of the series with given first two terms.

Published on 25 Jul 2019 - 19:59

score 72 · Answer 15 · 2026-03-29 14:06:41

72

Views

Is the finite field $Z_p$ an ordered one? Or can a finite field be ordered?

Published on 29 Mar 2026 - 14:06

List Question

The function $g: \Bbb{Z}_{10} → \Bbb{Z}_{10}$ is defined by $g(x) ≡ 7x + 2 \mod 10$. Find its inverse function.

Are there some known results for solving this kind of modular arithmetic problem?

A linear operator in a linear space over a finite field that preserves the usual sum

Determining whether a base is a Generator in $Z^*_{11}$ as well as differentiating Primitive Root and/or Primitive Element?

How to deal with modulo of $ \sum \binom{n}{r}$?

Prove That $3^n + 8^n$ is Not Divisible by $5$ (Using Induction)

Congruences. $1^5 + 2^5 + 3^5 + \cdots + 11^5 \equiv i \pmod {3}$

Which primes $p$ satisfy $n^2 \equiv -1 \mod p$ for a perfect square $n^2$?

Find polynomial with some conditions

Finding an expression relating two congruence moduli

Are primes (ignoring $2$) equally likely to be $1~\text{or}~3\pmod 4$?

Strong Induction Number Theory

Modular arithmetic. $x \equiv 1 \pmod {m^k}$ implies $x^m \equiv 1 \pmod {m^{k+1}}$

find the sum of the series with given first two terms.

Is the finite field $Z_p$ an ordered one? Or can a finite field be ordered?

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