List questions from prime-factorization

Published on 15 Apr 2026 - 4:25

86

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Sequences of consecutive numbers

Published on 10 May 2026 - 12:51

152

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

Published on 17 Apr 2026 - 3:43

118

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

Published on 01 May 2026 - 14:59

42

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

Published on 12 Apr 2026 - 23:36

297

Views

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

Published on 10 May 2026 - 20:03

147

Views

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

Published on 09 Apr 2026 - 3:40

59

Views

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

Published on 15 Apr 2026 - 6:13

260

Views

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

Published on 10 May 2026 - 19:03

41

Views

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

Published on 13 Apr 2026 - 9:41

973

Views

Statement on prime factors of Fibonacci numbers with prime index

Published on 11 May 2026 - 0:48

307

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 15 Apr 2026 - 21:28

241

Views

On a product involving Ramanujan primes

Published on 10 May 2026 - 16:33

478

Views

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

Published on 10 May 2026 - 21:17

115

Views

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

Published on 15 Apr 2026 - 1:17

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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