List questions from prime-factorization

Published on 18 Mar 2021 - 16:08

59

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Prove that series $\sum_{n\in M(P)} \frac{1}{n}$ converges and find its sum

Published on 19 Mar 2021 - 8:24

248

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How many combinations are there to factorize a given integer into two numbers.

Published on 21 Mar 2021 - 20:49

168

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Method to find if a polynomial has irrational roots?

Published on 26 Mar 2021 - 4:45

1.9k

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Find the power of a prime in the prime factorization of a large factorial

Published on 29 Mar 2021 - 21:19

340

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If $R$ is a UFD, then $R[x]$ is Noetherian?

Published on 29 Mar 2026 - 14:19

867

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Whether there is a prime in sequence $\{1,12,123,1234,12345,123456,1234567,12345678,123456789,12345678910, \cdots\}$

Published on 31 Mar 2021 - 14:15

685

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How to detect square free numbers?

Published on 03 Apr 2021 - 17:30

89

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When is it a prime?

Published on 04 Apr 2021 - 7:19

126

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Factoring a number $N = p * q$ when you have have found $n$, $p'$,$q'$ such that $nN = p' q'$

Published on 05 Apr 2021 - 11:08

99

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Show No. of trailing zeros in base $p$ representation = power of prime $p$. .

Published on 30 Mar 2026 - 5:30

35

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Given $n\in\mathbb N$ what are the maximum number of divisors of a natural number not more than $n$?

Published on 26 Mar 2026 - 13:02

34

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least upper bounds that are coprime

Published on 23 Feb 2026 - 22:46

103

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Are the Sylow $p$-subgroups of $S_4$ also Sylow $p$-subgroups of $S_5$?

Published on 24 Apr 2021 - 23:05

113

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Positive integer solutions to $pxy+x+y=p\#$

Published on 30 Apr 2021 - 15:38

List Question

Prove that there are no prime numbers in $[n! + 2; n! + n]$

Prove that series $\sum_{n\in M(P)} \frac{1}{n}$ converges and find its sum

How many combinations are there to factorize a given integer into two numbers.

Method to find if a polynomial has irrational roots?

Find the power of a prime in the prime factorization of a large factorial

If $R$ is a UFD, then $R[x]$ is Noetherian?

Whether there is a prime in sequence $\{1,12,123,1234,12345,123456,1234567,12345678,123456789,12345678910, \cdots\}$

How to detect square free numbers?

When is it a prime?

Factoring a number $N = p * q$ when you have have found $n$, $p'$,$q'$ such that $nN = p' q'$

Show No. of trailing zeros in base $p$ representation = power of prime $p$. .

Given $n\in\mathbb N$ what are the maximum number of divisors of a natural number not more than $n$?

least upper bounds that are coprime

Are the Sylow $p$-subgroups of $S_4$ also Sylow $p$-subgroups of $S_5$?

Positive integer solutions to $pxy+x+y=p\#$

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