Question

Let $n$ be a positive integer relatively prime with $10$. Prove that the digits of hundreds of $n^{20}$ is even.

score 397 · Answer 1 · 2021-06-12 19:04:15

397

Views

Let $n$ be a positive integer relatively prime with $10$. Prove that the digits of hundreds of $n^{20}$ is even.

Published on 12 Jun 2021 - 19:04

score 415 · Answer 2 · 2026-02-24 00:47:56

415

Views

Definition of a powersmooth number

Published on 24 Feb 2026 - 0:47

score 276 · Answer 3 · 2021-06-16 20:18:51

276

Views

A method for factoring integers into gaussian factors

Published on 16 Jun 2021 - 20:18

score 66 · Answer 4 · 2021-06-19 16:05:49

66

Views

$p$-adic valuation in $\mathbb{Q}$ existence

Published on 19 Jun 2021 - 16:05

score 487 · Answer 5 · 2021-06-20 10:40:58

487

Views

How many numbers are there such that its number of decimal digits equals to the number of its distinct prime factors?

Published on 20 Jun 2021 - 10:40

score 122 · Answer 6 · 2021-06-20 19:40:20

122

Views

Example of prime decomposition using Dedekind theorem in $\Bbb{Q}(\sqrt{3})$

Published on 20 Jun 2021 - 19:40

score 161 · Answer 7 · 2026-03-26 06:42:46

161

Views

Is it possible that every $P$ as a prime number, can be expressed as a prime factor of $E$ such that $E$ is the sum of a pair of twin primes?

Published on 26 Mar 2026 - 6:42

score 493 · Answer 8 · 2021-06-24 12:58:10

493

Views

Classifying all numbers $n$ with the property that if $p$ is a prime, then $p \mid n \iff p-1 \mid n$

Published on 24 Jun 2021 - 12:58

score 247 · Answer 9 · 2021-06-27 10:10:03

247

Views

Irreducible vs Primes (Unique factorization of primes proof does not hold for irreducible factors of set of 1,4,7,10....)

Published on 27 Jun 2021 - 10:10

score 110 · Answer 10 · 2021-06-30 09:12:37

110

Views

Elements of the sequence have a prime factors an element of the sequence

Published on 30 Jun 2021 - 9:12

score 65 · Answer 11 · 2021-07-06 13:50:40

65

Views

Factors of $2^{80} - 1$ (how to factorize $2^m+1$)

Published on 06 Jul 2021 - 13:50

score 153 · Answer 12 · 2026-03-26 09:16:12

153

Views

The sieving stage in quadratic sieve algorithm

Published on 26 Mar 2026 - 9:16

score 128 · Answer 13 · 2021-07-07 07:20:09

128

Views

Counting tuples of highly composite numbers whose product is also highly composite

Published on 07 Jul 2021 - 7:20

score 163 · Answer 14 · 2021-07-10 18:34:14

163

Views

If $PQRSPQRS$ is an eight-digit number with $56$ divisors, find the number of divisors of $PQRS$.

Published on 10 Jul 2021 - 18:34

score 174 · Answer 15 · 2021-07-11 00:07:51

174

Views

Limit of expected number of squarefree divisiors of gcd as n approaches infinity

Published on 11 Jul 2021 - 0:07

List Question

Let $n$ be a positive integer relatively prime with $10$. Prove that the digits of hundreds of $n^{20}$ is even.

Definition of a powersmooth number

A method for factoring integers into gaussian factors

$p$-adic valuation in $\mathbb{Q}$ existence

How many numbers are there such that its number of decimal digits equals to the number of its distinct prime factors?

Example of prime decomposition using Dedekind theorem in $\Bbb{Q}(\sqrt{3})$

Is it possible that every $P$ as a prime number, can be expressed as a prime factor of $E$ such that $E$ is the sum of a pair of twin primes?

Classifying all numbers $n$ with the property that if $p$ is a prime, then $p \mid n \iff p-1 \mid n$

Irreducible vs Primes (Unique factorization of primes proof does not hold for irreducible factors of set of 1,4,7,10....)

Elements of the sequence have a prime factors an element of the sequence

Factors of $2^{80} - 1$ (how to factorize $2^m+1$)

The sieving stage in quadratic sieve algorithm

Counting tuples of highly composite numbers whose product is also highly composite

If $PQRSPQRS$ is an eight-digit number with $56$ divisors, find the number of divisors of $PQRS$.

Limit of expected number of squarefree divisiors of gcd as n approaches infinity

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