List questions from divisibility

Published on 23 Mar 2026 - 21:59

124

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Set of $n$ natural numbers {$a_i$} such that: if $a_j\lt a_k$, then $(a_k-a_j)\mid a_j$

Published on 03 May 2018 - 4:53

368

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Biggest Lynch-Bell number

Published on 04 May 2018 - 7:37

117

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Remainder Being negative or positive?

Published on 04 May 2018 - 22:10

57

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If $p = n(n^2-1)(n^2-4)\cdots(n^2-100)$ then how is $p$ divisible by $(21!)$?

Published on 25 Mar 2026 - 10:57

102

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On a conjecture that if $2\left(p_n+p_{n-1}\right)\equiv -1\pmod {n^2}$ then $n=11$ only.

Published on 25 Mar 2026 - 10:34

57

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Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

Published on 25 Mar 2026 - 11:03

252

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Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?

Published on 08 May 2018 - 2:35

236

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Perrin sequence and prime numbers

Published on 08 May 2018 - 12:39

45

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How to solve $ab^2+b+7\mid a^2b+a+b$, $(a,b)=?$

Published on 09 May 2018 - 15:36

238

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On a product involving Ramanujan primes

Published on 25 Mar 2026 - 7:43

104

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How can I conclude from the given relation that consecutive Fibonacci numbers are relatively prime?

Published on 25 Mar 2026 - 7:43

1.3k

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Prove that $x^{3m}+x^{3n+1}+x^{3p+2}$ is divisible by $x^2+x+1$

Published on 13 May 2018 - 11:00

38

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Proving divisibility involving Pythagorean triplet.

Published on 13 May 2018 - 14:23

272

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Convert decimal value as reminder

Published on 25 Mar 2026 - 5:59

List Question

Binomial Coefficient divisibility involving Multiples

Set of $n$ natural numbers {$a_i$} such that: if $a_j\lt a_k$, then $(a_k-a_j)\mid a_j$

Biggest Lynch-Bell number

Remainder Being negative or positive?

If $p = n(n^2-1)(n^2-4)\cdots(n^2-100)$ then how is $p$ divisible by $(21!)$?

On a conjecture that if $2\left(p_n+p_{n-1}\right)\equiv -1\pmod {n^2}$ then $n=11$ only.

Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?

Perrin sequence and prime numbers

How to solve $ab^2+b+7\mid a^2b+a+b$, $(a,b)=?$

On a product involving Ramanujan primes

How can I conclude from the given relation that consecutive Fibonacci numbers are relatively prime?

Prove that $x^{3m}+x^{3n+1}+x^{3p+2}$ is divisible by $x^2+x+1$

Proving divisibility involving Pythagorean triplet.

Convert decimal value as reminder

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