List questions from prime-factorization

Published on 13 Feb 2015 - 1:20

5.5k

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Why is every prime number ($5$ and higher) divisible by $24$ (into a whole integer) when you square it and subtract $1$?

Published on 13 Feb 2015 - 12:10

550

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What is sum of totatives of n(natural numbers $ \lt n$ coprime to $n$ )?

Published on 14 Feb 2015 - 16:14

710

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Prove that if $ n > 2 $ then between $n$ and $n!$ is at least one prime.

Published on 14 Feb 2015 - 16:42

29

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Factorization of sum and difference of factorized coprimes

Published on 15 Feb 2015 - 11:20

345

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prove that $f_n = 37111111...111$ is never prime

Published on 17 Feb 2015 - 10:30

105

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Multiplication Sieving

Published on 19 Feb 2015 - 17:55

106

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Do there exist any cycles for these number sequences?

Published on 29 Mar 2026 - 12:50

171

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Show that every prime factor of $4t^2 + 1$ is equivalent to 1 modulo 4

Published on 28 Mar 2026 - 23:59

83

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Symmetric mod game

Published on 23 Feb 2015 - 19:46

630

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Exact power of prime that divides an (unrelated) number

Published on 25 Feb 2015 - 12:11

156

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proof : $a,b \in N, a^5 | b^5 \rightarrow a | b$

Published on 25 Feb 2015 - 21:41

638

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When is the number of $N$'s factors $1 + \sqrt{N}$?

Published on 26 Feb 2015 - 5:29

130

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Prove that if k and j are relatively prime to n, then so is k * j modulo n

Published on 26 Feb 2015 - 18:46

183

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Proof for a statement on prime numbers

Published on 27 Feb 2015 - 10:18

List Question

Encoding conditions into single number

Why is every prime number ($5$ and higher) divisible by $24$ (into a whole integer) when you square it and subtract $1$?

What is sum of totatives of n(natural numbers $ \lt n$ coprime to $n$ )?

Prove that if $ n > 2 $ then between $n$ and $n!$ is at least one prime.

Factorization of sum and difference of factorized coprimes

prove that $f_n = 37111111...111$ is never prime

Multiplication Sieving

Do there exist any cycles for these number sequences?

Show that every prime factor of $4t^2 + 1$ is equivalent to 1 modulo 4

Symmetric mod game

Exact power of prime that divides an (unrelated) number

proof : $a,b \in N, a^5 | b^5 \rightarrow a | b$

When is the number of $N$'s factors $1 + \sqrt{N}$?

Prove that if k and j are relatively prime to n, then so is k * j modulo n

Proof for a statement on prime numbers

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