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Question about proof for Euclid's lemma using greatest common divisor

score 62 · Answer 1 · 2017-03-26 22:22:51

62

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Question about proof for Euclid's lemma using greatest common divisor

Published on 26 Mar 2017 - 22:22

score 3.9k · Answer 2 · 2017-03-27 15:00:47

3.9k

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Can it be proven/disproven that there are highly composite numbers that prime-factorize into larger primes such as $9999991$?

Published on 27 Mar 2017 - 15:00

score 1.6k · Answer 3 · 2026-03-29 03:52:47

1.6k

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Create a private key from two public keys that share primes

Published on 29 Mar 2026 - 3:52

score 69 · Answer 4 · 2017-03-29 01:01:58

69

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Does there exist a prime $p > 5$ such that $3p+1 = 2^n, n \in \mathbb{N}$?

Published on 29 Mar 2017 - 1:01

score 403 · Answer 5 · 2017-03-31 17:51:25

403

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Modified sum of prime factors function

Published on 31 Mar 2017 - 17:51

score 739 · Answer 6 · 2017-04-01 09:11:27

739

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Modular Arithmetic proof? Every integer n can be written as $n=a^2 b$, where $b$ is a product of primes

Published on 01 Apr 2017 - 9:11

score 473 · Answer 7 · 2017-04-01 21:57:37

473

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Prime factorization of factorials

Published on 01 Apr 2017 - 21:57

score 820 · Answer 8 · 2017-04-05 02:13:49

820

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How many Positive Integers divide $72^{100}$?

Published on 05 Apr 2017 - 2:13

score 600 · Answer 9 · 2017-04-06 00:09:43

600

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Condition on prime Factorizations of 2 relatively prime numbers

Published on 06 Apr 2017 - 0:09

score 72 · Answer 10 · 2017-04-06 14:55:03

72

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P-adic order of a prime

Published on 06 Apr 2017 - 14:55

score 258 · Answer 11 · 2017-04-07 16:49:26

258

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Prime with highest power that divides $N$

Published on 07 Apr 2017 - 16:49

score 50 · Answer 12 · 2017-04-09 01:30:42

50

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What are the prime elements of the ring of finite natural subsets?

Published on 09 Apr 2017 - 1:30

score 1.7k · Answer 13 · 2017-04-09 05:16:20

1.7k

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Prime factorization of numbers up to $10^{12}$

Published on 09 Apr 2017 - 5:16

score 208 · Answer 14 · 2023-02-08 05:21:21

208

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Showing that prime factors of a number is congruent to $1 \pmod 5$

Published on 08 Feb 2023 - 5:21

score 53 · Answer 15 · 2023-02-11 10:07:28

53

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In an $AKLB$ setup, does norm of an integral element being in a prime ideal of $A$ imply that the element is in a prime ideal of $B$ lying above?

Published on 11 Feb 2023 - 10:07

List Question

Question about proof for Euclid's lemma using greatest common divisor

Can it be proven/disproven that there are highly composite numbers that prime-factorize into larger primes such as $9999991$?

Create a private key from two public keys that share primes

Does there exist a prime $p > 5$ such that $3p+1 = 2^n, n \in \mathbb{N}$?

Modified sum of prime factors function

Modular Arithmetic proof? Every integer n can be written as $n=a^2 b$, where $b$ is a product of primes

Prime factorization of factorials

How many Positive Integers divide $72^{100}$?

Condition on prime Factorizations of 2 relatively prime numbers

P-adic order of a prime

Prime with highest power that divides $N$

What are the prime elements of the ring of finite natural subsets?

Prime factorization of numbers up to $10^{12}$

Showing that prime factors of a number is congruent to $1 \pmod 5$

In an $AKLB$ setup, does norm of an integral element being in a prime ideal of $A$ imply that the element is in a prime ideal of $B$ lying above?

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