Question

Finding the remainder of the division of $\sum_{i=0}^{102} i^6+i$ by 4 and by 5

score 45 · Answer 1 · 2026-03-28 05:23:11

45

Views

Finding the remainder of the division of $\sum_{i=0}^{102} i^6+i$ by 4 and by 5

Published on 28 Mar 2026 - 5:23

score 105 · Answer 2 · 2026-03-28 07:05:06

105

Views

Congruences and second-order recurrence relations

Published on 28 Mar 2026 - 7:05

score 77 · Answer 3 · 2026-03-26 23:10:51

77

Views

Given 2 functions $f(x)$ and $g(x)$ find a value where $g(x)$ divides $f(x)$ meaning $f(x) = 0 \mod g(x)$

Published on 26 Mar 2026 - 23:10

score 63 · Answer 4 · 2019-05-13 13:52:23

63

Views

Use congruence to show that the output of a natural number function is always divisible by 6

Published on 13 May 2019 - 13:52

score 98 · Answer 5 · 2026-02-23 01:23:34

98

Views

Why is it that exponents that are divisors of φ(N) capable of generating the identity element as a power when N is prime?

Published on 23 Feb 2026 - 1:23

score 52 · Answer 6 · 2019-05-13 17:59:12

52

Views

Modular aritmetic and fields

Published on 13 May 2019 - 17:59

score 52 · Answer 7 · 2026-04-02 06:37:48

52

Views

Modulo congruences and remainder

Published on 02 Apr 2026 - 6:37

score 9.8k · Answer 8 · 2026-03-28 10:40:37

9.8k

Views

Compute polynomial $p(x)$ if $x^5=1,\, x\neq 1$ [reducing mod $\textit{simpler}$ multiples]

Published on 28 Mar 2026 - 10:40

score 711 · Answer 9 · 2026-03-25 17:17:16

711

Views

Congruence equation with power solving method

Published on 25 Mar 2026 - 17:17

score 86 · Answer 10 · 2019-05-14 09:59:00

86

Views

$a \equiv b \mod k \implies a \equiv ? \mod k^2$?

Published on 14 May 2019 - 9:59

score 120 · Answer 11 · 2019-05-14 10:50:51

120

Views

Prove that $2^{2^{2^{\cdot^{\cdot^{2}}}}} \mod 9 = 7$

Published on 14 May 2019 - 10:50

score 146 · Answer 12 · 2019-05-14 20:02:27

146

Views

Can we construct a multiple of any number by repeating another arbitrary number twice?

Published on 14 May 2019 - 20:02

score 81 · Answer 13 · 2019-05-14 21:47:36

81

Views

Is there a specific theorem or name for this particular fact about primes? (Mod 6)

Published on 14 May 2019 - 21:47

score 71 · Answer 14 · 2026-03-28 08:51:19

71

Views

If $a \equiv 9 \pmod {12}$, find all possible values for $\gcd(a^2+21a+72,252)$

Published on 28 Mar 2026 - 8:51

score 84 · Answer 15 · 2019-05-15 00:41:33

84

Views

-1 as a Quadratic Residue mod $p$ $\Rightarrow$ $p \equiv_4 1$

Published on 15 May 2019 - 0:41

List Question

Finding the remainder of the division of $\sum_{i=0}^{102} i^6+i$ by 4 and by 5

Congruences and second-order recurrence relations

Given 2 functions $f(x)$ and $g(x)$ find a value where $g(x)$ divides $f(x)$ meaning $f(x) = 0 \mod g(x)$

Use congruence to show that the output of a natural number function is always divisible by 6

Why is it that exponents that are divisors of φ(N) capable of generating the identity element as a power when N is prime?

Modular aritmetic and fields

Modulo congruences and remainder

Compute polynomial $p(x)$ if $x^5=1,\, x\neq 1$ [reducing mod $\textit{simpler}$ multiples]

Congruence equation with power solving method

$a \equiv b \mod k \implies a \equiv ? \mod k^2$?

Prove that $2^{2^{2^{\cdot^{\cdot^{2}}}}} \mod 9 = 7$

Can we construct a multiple of any number by repeating another arbitrary number twice?

Is there a specific theorem or name for this particular fact about primes? (Mod 6)

If $a \equiv 9 \pmod {12}$, find all possible values for $\gcd(a^2+21a+72,252)$

-1 as a Quadratic Residue mod $p$ $\Rightarrow$ $p \equiv_4 1$

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