List questions from elementary-number-theory

Published on 09 Apr 2026 - 2:55

113

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Compute $2^{287} \pmod 6$

Published on 30 Mar 2026 - 21:29

64

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Prove that $a_1a_2 ≡ b_1b_2 \mod n$

Published on 31 Mar 2026 - 2:49

117

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Proof involving gcd

Published on 30 Mar 2026 - 23:33

81

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$\gcd(ab, c^2) = 1$, then $\gcd(a, c) = \gcd(b, c) = 1$

Published on 02 Apr 2026 - 0:44

275

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What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?

Published on 09 Apr 2026 - 3:40

138

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We know that $2^0$=1 but why $(-2)^0$=not 1

Published on 09 Apr 2026 - 8:47

69

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Algebraic problem solving

Published on 01 Apr 2026 - 0:07

87

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The sum of the solutions of $x^3 ≡ 8 \mod q$.

Published on 30 Mar 2026 - 23:40

93

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Proof involving gcd.

Published on 30 Mar 2026 - 17:50

67

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How to prove the inverse of : $(a,b)=1, a\mid c, b\mid c \implies ab\mid c$.

Published on 31 Mar 2026 - 5:51

116

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Prove by induction that $1+2^{2^n}+2^{2^{n+1}}$ is divisible by $7$

Published on 31 Mar 2026 - 11:10

335

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Sum of non-trivial divisors of number equals number itself

Published on 09 Apr 2026 - 3:40

91

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values of sums of consecutive integer squares

Published on 31 Mar 2026 - 3:22

194

Views

Hensel Lifting with a non-simple root

Published on 09 Apr 2026 - 0:27

List Question

Sum of the Squares of the First n square Numbers is not a perfect square number

Compute $2^{287} \pmod 6$

Prove that $a_1a_2 ≡ b_1b_2 \mod n$

Proof involving gcd

$\gcd(ab, c^2) = 1$, then $\gcd(a, c) = \gcd(b, c) = 1$

What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?

We know that $2^0$=1 but why $(-2)^0$=not 1

Algebraic problem solving

The sum of the solutions of $x^3 ≡ 8 \mod q$.

Proof involving gcd.

How to prove the inverse of : $(a,b)=1, a\mid c, b\mid c \implies ab\mid c$.

Prove by induction that $1+2^{2^n}+2^{2^{n+1}}$ is divisible by $7$

Sum of non-trivial divisors of number equals number itself

values of sums of consecutive integer squares

Hensel Lifting with a non-simple root

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