List questions from elementary-number-theory

Published on 05 May 2026 - 5:45

120

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What is known about iterative behavior of this function?

Published on 10 Apr 2026 - 15:48

279

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Can the difference between consecutive even abundant numbers exceed 6?

Published on 09 Apr 2026 - 13:03

478

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There are primes $p,q$ such that $\gcd(a,b)=|ap-bq|$

Published on 25 Mar 2026 - 19:04

33

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Is this bias on the differences of consecutive even abundant numbers easily explainable?

Published on 05 May 2026 - 9:44

98

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Greatest integer function inequalities

Published on 05 May 2026 - 9:43

273

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Prove cyclic subgroup has n distinct elements $\langle x \rangle = \{1,x,x^2,..,x^{n-1}\}$ without using Euclidean algorithm again

Published on 15 Apr 2026 - 22:27

94

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Inquiry about the Wolfram MathWorld entry on Odd Perfect Number

Published on 14 Apr 2026 - 17:16

3.8k

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Prove Order of $x^k = n/{\gcd(k,n)}$ by taking cases

Published on 16 Apr 2026 - 1:17

743

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Last digit of sequence of numbers

Published on 11 Apr 2026 - 19:34

84

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Proving for $a>1,b > 1$, $2^a \ne p^b + 1$

Published on 16 Apr 2026 - 20:02

598

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If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$

Published on 05 May 2026 - 9:45

151

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Concern about the Lucas primality test

Published on 11 Apr 2026 - 5:48

119

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divide integer without remainder

Published on 05 May 2026 - 9:43

148

Views

Solving a Congruence Relation with a function

Published on 15 Apr 2026 - 3:10

List Question

Product of $k$ distinct positive integers is divisible by its sum

What is known about iterative behavior of this function?

Can the difference between consecutive even abundant numbers exceed 6?

There are primes $p,q$ such that $\gcd(a,b)=|ap-bq|$

Is this bias on the differences of consecutive even abundant numbers easily explainable?

Greatest integer function inequalities

Prove cyclic subgroup has n distinct elements $\langle x \rangle = \{1,x,x^2,..,x^{n-1}\}$ without using Euclidean algorithm again

Inquiry about the Wolfram MathWorld entry on Odd Perfect Number

Prove Order of $x^k = n/{\gcd(k,n)}$ by taking cases

Last digit of sequence of numbers

Proving for $a>1,b > 1$, $2^a \ne p^b + 1$

If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$

Concern about the Lucas primality test

divide integer without remainder

Solving a Congruence Relation with a function

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