List questions from prime-factorization

Published on 10 May 2015 - 1:25

424

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Where does the proof of unique factorization fail for $\mathbb Z[\sqrt{-5}]$?

Published on 29 Mar 2026 - 7:38

137

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Conjecture: only one even Fibonacci term divided by two gives a prime: $F(9) = 34 = 2 \times 17$

Published on 29 Mar 2026 - 10:29

132

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Counting the spokes

Published on 18 May 2015 - 15:50

1.9k

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About the ways prove that a ring is a UFD.

Published on 29 Mar 2026 - 7:38

241

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Consecutive numbers with less than $k$ prime factors?

Published on 20 May 2015 - 10:18

55

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Primes with the first $k$ digits of the solution of the equation $e^{-x^2}=x$

Published on 23 May 2015 - 19:14

190

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Least pair of numbers having at least $k$ distinct prime factors

Published on 24 May 2015 - 11:27

88

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Cyclic consecutive zeros of binary sequence with prime length

Published on 25 May 2015 - 6:22

1k

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How does one prove that $\mathbb{Z}\left[\frac{1 + \sqrt{-43}}{2}\right]$ is a unique factorization domain?

Published on 29 Mar 2026 - 7:38

107

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Special $\omega(n)$-sequence

Published on 29 May 2015 - 9:43

1.2k

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Can a number be equal to the sum of the squares of its prime divisors?

Published on 28 Mar 2026 - 12:14

9.2k

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Total number of divisors of factorial of a number

Published on 02 Jun 2015 - 23:05

181

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Total possible ways of representing n! as a sum of two or more consecutive positive integers.

Published on 03 Jun 2015 - 12:52

990

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Primes in quadratic number fields

Published on 04 Jun 2015 - 12:41

List Question

Trouble finding the norm of the two following ideals

Where does the proof of unique factorization fail for $\mathbb Z[\sqrt{-5}]$?

Conjecture: only one even Fibonacci term divided by two gives a prime: $F(9) = 34 = 2 \times 17$

Counting the spokes

About the ways prove that a ring is a UFD.

Consecutive numbers with less than $k$ prime factors?

Primes with the first $k$ digits of the solution of the equation $e^{-x^2}=x$

Least pair of numbers having at least $k$ distinct prime factors

Cyclic consecutive zeros of binary sequence with prime length

How does one prove that $\mathbb{Z}\left[\frac{1 + \sqrt{-43}}{2}\right]$ is a unique factorization domain?

Special $\omega(n)$-sequence

Can a number be equal to the sum of the squares of its prime divisors?

Total number of divisors of factorial of a number

Total possible ways of representing n! as a sum of two or more consecutive positive integers.

Primes in quadratic number fields

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