List questions from elementary-number-theory

Published on 14 Apr 2026 - 2:37

1.3k

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Show that $\pi ≈ 355/113$ is the best rational approximation of $\pi$ with a three-digit denominator

Published on 10 May 2026 - 23:30

164

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Question about a kind of generalized Fermat numbers

Published on 11 Apr 2026 - 8:27

128

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What is the remainder when $1995! -1$ is divided by $100 * 101$?

Published on 14 Apr 2026 - 20:46

61

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There are no $n$ satisfying $\phi(n)=m$

Published on 15 Apr 2026 - 12:38

354

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Fermats Little Theorem Proof

Published on 15 Apr 2026 - 19:45

106

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What is the smallest integer n such that $2^n \equiv 3$ mod n?

Published on 16 Apr 2026 - 4:54

385

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Does $p^n$ divide $(p^n-1)!$?

Published on 16 Apr 2026 - 11:32

79

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Finding sum of digits of $m$

Published on 14 May 2026 - 7:10

340

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Sum of divisors of $n$ less than $k$

Published on 11 May 2026 - 5:25

202

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Find all values of $n$ such that $\varphi(n) = n/6$.

Published on 11 May 2026 - 9:32

39

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Evaluation power modulo

Published on 22 Apr 2026 - 16:02

1.8k

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If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

Published on 17 Apr 2026 - 15:37

710

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A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.

Published on 10 May 2026 - 14:55

84

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XOR of 6 numbers in pair of 3

Published on 13 Apr 2026 - 5:40

List Question

Clarification of Answers given in Spivak's Calculus, Chapter 1-24

Show that $\pi ≈ 355/113$ is the best rational approximation of $\pi$ with a three-digit denominator

Question about a kind of generalized Fermat numbers

What is the remainder when $1995! -1$ is divided by $100 * 101$?

There are no $n$ satisfying $\phi(n)=m$

Fermats Little Theorem Proof

What is the smallest integer n such that $2^n \equiv 3$ mod n?

Does $p^n$ divide $(p^n-1)!$?

Finding sum of digits of $m$

Sum of divisors of $n$ less than $k$

Find all values of $n$ such that $\varphi(n) = n/6$.

Evaluation power modulo

If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.

XOR of 6 numbers in pair of 3

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