Question

Proof of uniqueness of prime factorization by induction with Euclid's Lemma

score 255 · Answer 1 · 2022-03-31 19:06:31

255

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Proof of uniqueness of prime factorization by induction with Euclid's Lemma

Published on 31 Mar 2022 - 19:06

score 89 · Answer 2 · 2026-04-03 04:57:30

89

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contest problem: number theory, prime factorization, perfect squares

Published on 03 Apr 2026 - 4:57

score 87 · Answer 3 · 2022-04-11 00:28:27

87

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Numbers for Testing Integer Factoring Algorithms

Published on 11 Apr 2022 - 0:28

score 121 · Answer 4 · 2022-04-12 14:46:05

121

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How to understand special prime factorization method

Published on 12 Apr 2022 - 14:46

score 69 · Answer 5 · 2026-03-31 17:44:32

69

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Largest possible prime factor for given $k$?

Published on 31 Mar 2026 - 17:44

score 101 · Answer 6 · 2026-03-27 03:59:50

101

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Does the following hold as a conjecture for maximum gaps between prime numbers? and can it be proved?

Published on 27 Mar 2026 - 3:59

score 84 · Answer 7 · 2026-04-01 05:03:03

84

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Adequately defining the fundamental theorem of arithmetic.

Published on 01 Apr 2026 - 5:03

score 695 · Answer 8 · 2022-04-26 05:51:56

695

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Is $\frac{3^n+5^n+7^n}{15}$ only prime if $n$ is prime?

Published on 26 Apr 2022 - 5:51

score 92 · Answer 9 · 2022-04-29 08:55:15

92

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Are there infinite many primes $\ p\ $ that cannot divide $\ 3^n+5^n+7^n\ $?

Published on 29 Apr 2022 - 8:55

score 773 · Answer 10 · 2022-05-06 15:26:32

773

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Find two prime factors of a number so that the multiplication of factors give the original number

Published on 06 May 2022 - 15:26

score 64 · Answer 11 · 2022-05-06 17:54:18

64

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how to find the smallest number with exactly n distinct prime divisors

Published on 06 May 2022 - 17:54

score 43 · Answer 12 · 2022-05-07 02:55:42

43

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Maximum number of distinct primes in a defined product

Published on 07 May 2022 - 2:55

score 54 · Answer 13 · 2022-05-13 06:29:46

54

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What do you call rings that have unique factorizations?

Published on 13 May 2022 - 6:29

score 158 · Answer 14 · 2022-05-13 11:47:31

158

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Smallest squarefree number with $\varphi(n)\mid \sigma(n)$ and smallest prime factor $p$

Published on 13 May 2022 - 11:47

score 189 · Answer 15 · 2026-03-25 20:20:50

189

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Periodic sequences of integers generated by $a_{n+1}=\operatorname{rad}(a_{n})+\operatorname{rad}(a_{n-1})$

Published on 25 Mar 2026 - 20:20

List Question

Proof of uniqueness of prime factorization by induction with Euclid's Lemma

contest problem: number theory, prime factorization, perfect squares

Numbers for Testing Integer Factoring Algorithms

How to understand special prime factorization method

Largest possible prime factor for given $k$?

Does the following hold as a conjecture for maximum gaps between prime numbers? and can it be proved?

Adequately defining the fundamental theorem of arithmetic.

Is $\frac{3^n+5^n+7^n}{15}$ only prime if $n$ is prime?

Are there infinite many primes $\ p\ $ that cannot divide $\ 3^n+5^n+7^n\ $?

Find two prime factors of a number so that the multiplication of factors give the original number

how to find the smallest number with exactly n distinct prime divisors

Maximum number of distinct primes in a defined product

What do you call rings that have unique factorizations?

Smallest squarefree number with $\varphi(n)\mid \sigma(n)$ and smallest prime factor $p$

Periodic sequences of integers generated by $a_{n+1}=\operatorname{rad}(a_{n})+\operatorname{rad}(a_{n-1})$

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