List questions from elementary-number-theory

Published on 08 Apr 2026 - 20:50

199

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On reducibility over $\mathbb{Z}$ of a special class of polynomials .

Published on 09 Apr 2026 - 18:21

76

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Prove that $5 \mid 3^{3n+1}+2^{n+1}$

Published on 22 Mar 2026 - 16:04

1k

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Solve $15\cdot x=27\pmod{18}$

Published on 24 Mar 2026 - 22:08

160

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If $p$ and $p^2+2$ prime, then $p^3+2$ prime.

Published on 24 Mar 2026 - 23:45

676

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Sum of all 5 digit numbers using the digits 1,2,3,4,5 at most once.

Published on 25 Mar 2026 - 6:05

227

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For any natural numbers a, b, c, d if ab = cd is it possible that a + b + c + d is prime number

Published on 09 Apr 2026 - 2:00

67

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Find an equation where all 'y' is always irrational for all integer values of x

Published on 08 Apr 2026 - 23:12

182

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On the solutions of an equation involving the Euler's totient function that is solved by the primes of Rassias' conjecture

Published on 08 Apr 2026 - 22:44

69

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Using the gcd to solve an equation

Published on 22 Mar 2026 - 11:33

99

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An problem of irrational number approximation by rationals

Published on 21 Mar 2026 - 18:07

60

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Is the following proper notation or am I abusing notation too much?

Published on 26 Mar 2026 - 10:46

360

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Find the smallest odd n,n>3 such that 3|n,5|n+2 and 7|n+4

Published on 09 Apr 2026 - 1:06

197

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Proof congruence identity modulo $p$: $2^2\cdot4^2\cdot\dots\cdot(p-3)^2\cdot(p-1)^2 \equiv (-1)^{\frac{1}{2}(p+1)}\mod{p}$

Published on 08 Apr 2026 - 21:32

2.6k

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How to combine congruences?

Published on 08 Apr 2026 - 21:33

List Question

A congruence involving Mersenne numbers

On reducibility over $\mathbb{Z}$ of a special class of polynomials .

Prove that $5 \mid 3^{3n+1}+2^{n+1}$

Solve $15\cdot x=27\pmod{18}$

If $p$ and $p^2+2$ prime, then $p^3+2$ prime.

Sum of all 5 digit numbers using the digits 1,2,3,4,5 at most once.

For any natural numbers a, b, c, d if ab = cd is it possible that a + b + c + d is prime number

Find an equation where all 'y' is always irrational for all integer values of x

On the solutions of an equation involving the Euler's totient function that is solved by the primes of Rassias' conjecture

Using the gcd to solve an equation

An problem of irrational number approximation by rationals

Is the following proper notation or am I abusing notation too much?

Find the smallest odd n,n>3 such that 3|n,5|n+2 and 7|n+4

Proof congruence identity modulo $p$: $2^2\cdot4^2\cdot\dots\cdot(p-3)^2\cdot(p-1)^2 \equiv (-1)^{\frac{1}{2}(p+1)}\mod{p}$

How to combine congruences?

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