List questions from elementary-number-theory

Published on 15 Apr 2026 - 6:08

114

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On numbers with small $\varphi(n)/n$

Published on 17 Apr 2026 - 1:13

1.1k

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Prove a case of Dirichlet's Theorem: that there are infinitely many primes of the form $8k+1$

Published on 15 Apr 2026 - 12:23

752

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Congruence multiplication property

Published on 14 Apr 2026 - 13:58

366

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An enigmatic pattern in division graphs

Published on 10 May 2026 - 17:34

77

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an evolutive graph of the number

Published on 16 Apr 2026 - 21:48

73

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A question concerning higher residues (quadratic and so on)

Published on 14 May 2026 - 7:11

94

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$5\nmid n(n+1)\implies 5\mid (n^3-6n^2+n-1)$

Published on 15 Apr 2026 - 18:43

124

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Can anything be said about whether an integer has an even or odd number of prime factors?

Published on 14 Apr 2026 - 0:33

46

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is there a special name for a function that generates a binary tree

Published on 10 May 2026 - 19:01

253

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why $ax + by$ can take any value if their gcd is $1$

Published on 12 Apr 2026 - 20:27

75

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Prove that any integer $n$ whose prime factorization is $n=p_1^{a_1}p_2^{a_2}...p_k^{a_k}$ is a perfect $m$th power iff $a_i$ is a multiple of $m$.

Published on 30 Apr 2026 - 4:41

270

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What is the total numbers of chocolates belonging to three of them?

Published on 11 Apr 2026 - 15:13

163

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multiply different residue classes

Published on 12 Apr 2026 - 14:50

73

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Show that $\pi$ is onto.

Published on 16 Apr 2026 - 1:53

List Question

Every natural number $n$ can be written as $n=s-t$ with $\omega(s)=\omega(t)$

On numbers with small $\varphi(n)/n$

Prove a case of Dirichlet's Theorem: that there are infinitely many primes of the form $8k+1$

Congruence multiplication property

An enigmatic pattern in division graphs

an evolutive graph of the number

A question concerning higher residues (quadratic and so on)

$5\nmid n(n+1)\implies 5\mid (n^3-6n^2+n-1)$

Can anything be said about whether an integer has an even or odd number of prime factors?

is there a special name for a function that generates a binary tree

why $ax + by$ can take any value if their gcd is $1$

Prove that any integer $n$ whose prime factorization is $n=p_1^{a_1}p_2^{a_2}...p_k^{a_k}$ is a perfect $m$th power iff $a_i$ is a multiple of $m$.

What is the total numbers of chocolates belonging to three of them?

multiply different residue classes

Show that $\pi$ is onto.

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