List questions from prime-factorization

Published on 26 Apr 2018 - 10:32

80

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Sequences of consecutive numbers

Published on 26 Apr 2018 - 14:35

148

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Prove that $100|11^{10} - 1$

Published on 29 Apr 2018 - 10:39

112

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How can the abc conjecture put constraints on the prime factors of $c$?

Published on 19 Mar 2026 - 18:44

39

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Baby steps to factorization of a large composite number via modular arithmetic

Published on 02 May 2018 - 11:50

291

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On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

Published on 06 May 2018 - 0:27

146

Views

How many shared numbers between all factors of 465 and all multiples of 3 between 20 and 100?

Published on 22 Mar 2026 - 13:57

56

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

Published on 07 May 2018 - 6:27

256

Views

Is $387420547$ another counter example to John H. Conway's Problem $5$?

Published on 07 May 2018 - 8:40

38

Views

Fermat's factorization method: why are "a" or "b" always divisible by 3 if "c" and "d" are prime?

Published on 07 May 2018 - 9:29

969

Views

Statement on prime factors of Fibonacci numbers with prime index

Published on 10 May 2018 - 0:16

304

Views

Deductions about the prime factorization of odd integers $m>1$ satisfying $\frac{-3+\sqrt{1+8m}}{2}=\prod_{\substack{p\mid m\\p\text{ prime}}}(p-1)$

Published on 10 May 2018 - 14:08

237

Views

On a product involving Ramanujan primes

Published on 12 May 2018 - 0:48

474

Views

Proving $\sqrt[3]{2}$ is irrational without using prime factorization

Published on 12 May 2018 - 17:14

112

Views

Why should the vectors in Dixon's factorization algorithm be linearly dependant?

Published on 13 May 2018 - 15:45

List Question

Smallest number with at least $n$ divisors.

Sequences of consecutive numbers

Prove that $100|11^{10} - 1$

How can the abc conjecture put constraints on the prime factors of $c$?

Baby steps to factorization of a large composite number via modular arithmetic

On questions involving the radical of an integer and different number theoretic functions: the Euler's totient function

How many shared numbers between all factors of 465 and all multiples of 3 between 20 and 100?

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

Is $387420547$ another counter example to John H. Conway's Problem $5$?

Fermat's factorization method: why are "a" or "b" always divisible by 3 if "c" and "d" are prime?

Statement on prime factors of Fibonacci numbers with prime index

Deductions about the prime factorization of odd integers $m>1$ satisfying $\frac{-3+\sqrt{1+8m}}{2}=\prod_{\substack{p\mid m\\p\text{ prime}}}(p-1)$

On a product involving Ramanujan primes

Proving $\sqrt[3]{2}$ is irrational without using prime factorization

Why should the vectors in Dixon's factorization algorithm be linearly dependant?

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