List questions from prime-factorization

Published on 13 Sep 2020 - 19:33

356

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prime number (a form like Mersenne primes)

Published on 23 Feb 2026 - 10:01

117

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Proving the first Chebyshev function $\vartheta(x)=O(x)$ using prime factorisation of ${2n \choose n}$

Published on 25 Mar 2026 - 15:22

84

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Find the remainder when the $2006! + \dfrac{4012!}{2006!}$ is divided by $4013$

Published on 16 Sep 2020 - 13:08

362

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Number Fields (by Marcus), part (c) of exercise 9 chapter 3

Published on 17 Sep 2020 - 8:14

126

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Beal's conjecture $A^x+B^y=C^z$

Published on 02 Apr 2026 - 19:21

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finding out the way to show $333667$ is a prime number

Published on 18 Sep 2020 - 9:34

130

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If $A+B \mid A^5$ and $A+B \mid B^5$, what can be concluded?

Published on 21 Sep 2020 - 13:53

148

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Find a closest integer of form $3^x 5^y$?

Published on 22 Sep 2020 - 6:50

59

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Existence and Uniqueness of $x=y^{k}z$

Published on 23 Sep 2020 - 23:30

139

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Does knowing how $5280$ is a product of primes help you to factor $5281$ as a product of primes?

Published on 30 Sep 2020 - 13:14

233

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Multiples of Prime numbers < Natural numbers VS Multiples of Odd numbers < Natural numbers

Published on 04 Oct 2020 - 10:53

320

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Lenstra’s Elliptic Curve Factorisation

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366

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Binomial theorem: divisibility by $n^2$

Published on 05 Oct 2020 - 11:24

517

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B-Smooth Number Generation

Published on 05 Oct 2020 - 18:09

List Question

perfect factors from the prime factorization of a large number

prime number (a form like Mersenne primes)

Proving the first Chebyshev function $\vartheta(x)=O(x)$ using prime factorisation of ${2n \choose n}$

Find the remainder when the $2006! + \dfrac{4012!}{2006!}$ is divided by $4013$

Number Fields (by Marcus), part (c) of exercise 9 chapter 3

Beal's conjecture $A^x+B^y=C^z$

finding out the way to show $333667$ is a prime number

If $A+B \mid A^5$ and $A+B \mid B^5$, what can be concluded?

Find a closest integer of form $3^x 5^y$?

Existence and Uniqueness of $x=y^{k}z$

Does knowing how $5280$ is a product of primes help you to factor $5281$ as a product of primes?

Multiples of Prime numbers < Natural numbers VS Multiples of Odd numbers < Natural numbers

Lenstra’s Elliptic Curve Factorisation

Binomial theorem: divisibility by $n^2$

B-Smooth Number Generation

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