List questions from modular-arithmetic

Published on 30 Aug 2019 - 16:45

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How many ways to flip/ rotate a triangle so it has the same orientation as in the beginning?

Published on 31 Aug 2019 - 8:58

78

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modular exponentiation $14^{20} \pmod{33}$

Published on 31 Aug 2019 - 10:38

66

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Meaning of equations involving modular arithmetic

Published on 31 Aug 2019 - 11:36

305

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The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

Published on 26 Mar 2026 - 17:46

293

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Why does ab = nc +1 mean the same as ab $\equiv$ 1 (mod n)?

Published on 27 Mar 2026 - 14:45

59

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Infinitely many primes that solves a congruence

Published on 02 Sep 2019 - 1:08

83

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There is no set of exactly five elements $A \subset \mathbb{N}$ such that sum of any distinct three is prime.

Published on 28 Mar 2026 - 11:52

326

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How to find the last digit of $a^{b^{c^{d\ldots}}}$?

Published on 02 Sep 2019 - 7:12

109

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Show that $a^2 \not\equiv b^2 \pmod p$

Published on 03 Sep 2019 - 5:12

73

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Determine if a quotient ring meets various definitions

Published on 03 Sep 2019 - 21:21

101

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What verb should I use for this "mod" operation, e.g. $21=5z+7y\implies1\equiv2y\pmod 5$.

Published on 04 Sep 2019 - 6:32

37

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Existence of solution for a general modular system of equations

Published on 29 Mar 2026 - 6:02

412

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The first digit (on the left) and the last digit (on the right) of $\sum_{k=1}^{1010}k^{2020-k}$

Published on 25 Mar 2026 - 21:54

162

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Write periodic sequence of numbers with trigonometric functions.

Published on 29 Mar 2026 - 12:12

List Question

Project Euler #134

How many ways to flip/ rotate a triangle so it has the same orientation as in the beginning?

modular exponentiation $14^{20} \pmod{33}$

Meaning of equations involving modular arithmetic

The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

Why does ab = nc +1 mean the same as ab $\equiv$ 1 (mod n)?

Infinitely many primes that solves a congruence

There is no set of exactly five elements $A \subset \mathbb{N}$ such that sum of any distinct three is prime.

How to find the last digit of $a^{b^{c^{d\ldots}}}$?

Show that $a^2 \not\equiv b^2 \pmod p$

Determine if a quotient ring meets various definitions

What verb should I use for this "mod" operation, e.g. $21=5z+7y\implies1\equiv2y\pmod 5$.

Existence of solution for a general modular system of equations

The first digit (on the left) and the last digit (on the right) of $\sum_{k=1}^{1010}k^{2020-k}$

Write periodic sequence of numbers with trigonometric functions.

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