List questions from elementary-number-theory

Published on 10 Apr 2026 - 10:36

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For all natural numbers $n,\; n^2-n$ is even.

Published on 15 Apr 2026 - 16:39

183

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Disprove: If $\gcd(n,2^n-1)=1$, then $2^n-1$ is squarefree.

Published on 09 Apr 2026 - 3:15

139

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Why does $10^{\frac{p-1}{2}}\equiv \pm1 \pmod p$ when $p \nmid 10$?

Published on 14 Apr 2026 - 16:55

152

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How many square integers less than $n$?

Published on 30 Apr 2026 - 10:21

2.3k

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What are the steps involved in solving a quartic polynomial modulo a prime modulus?

Published on 29 Apr 2026 - 12:54

74

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Calculate $\gcd(c^a+1,c^b+1)$

Published on 16 Apr 2026 - 3:38

5.7k

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A Classical Introduction to Modern Number Theory (by Ireland and Rosen) Vs Algebraic Number Theory (by Jarvis): Which should I use?

Published on 11 Apr 2026 - 4:16

255

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Fermat Little Theorem

Published on 14 Apr 2026 - 14:32

196

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Positive even numbered integer solutions of $y=n^2-m^2-x^2$

Published on 16 Apr 2026 - 6:56

105

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A simple modulo arithmetic problem

Published on 29 Apr 2026 - 12:32

115

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Is my definition of division by zero problematic?

Published on 09 Apr 2026 - 18:02

80

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Totient number for which the smallest element of the inverse is even?

Published on 15 Apr 2026 - 17:10

653

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Making the sum of 5th power of integers, a perfect square.

Published on 14 Apr 2026 - 15:01

69

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False Proof Identification

Published on 09 Apr 2026 - 1:13

List Question

Efficient algorithm to determine all numbers having a given totient value?

For all natural numbers $n,\; n^2-n$ is even.

Disprove: If $\gcd(n,2^n-1)=1$, then $2^n-1$ is squarefree.

Why does $10^{\frac{p-1}{2}}\equiv \pm1 \pmod p$ when $p \nmid 10$?

How many square integers less than $n$?

What are the steps involved in solving a quartic polynomial modulo a prime modulus?

Calculate $\gcd(c^a+1,c^b+1)$

A Classical Introduction to Modern Number Theory (by Ireland and Rosen) Vs Algebraic Number Theory (by Jarvis): Which should I use?

Fermat Little Theorem

Positive even numbered integer solutions of $y=n^2-m^2-x^2$

A simple modulo arithmetic problem

Is my definition of division by zero problematic?

Totient number for which the smallest element of the inverse is even?

Making the sum of 5th power of integers, a perfect square.

False Proof Identification

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