List questions from prime-numbers

Published on 29 Mar 2026 - 15:21

499

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Sequence of N numbers

Published on 26 Mar 2026 - 19:23

94

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For $a>0$ prime $p=a+b$ and $p\cdot a+b$ and $p\cdot b+a$ gives all primes

Published on 06 Jan 2019 - 21:36

311

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Is there a way to determine exactly the difference between $N$th & $(N+1)$th prime number?

Published on 25 Mar 2026 - 7:48

322

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Product of sum of reciprocals

Published on 29 Mar 2026 - 21:04

84

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For which $p$ primes is $p^{p-1}$ a divisor of $(p-1)^p + 1$?

Published on 27 Mar 2026 - 11:48

63

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Condition on $n$ for no sequence to exist

Published on 07 Jan 2019 - 18:47

195

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Maximum runs of composites in arithmetic progressions

Published on 25 Mar 2026 - 7:41

639

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Why is it natural to define a prime as $p|ab$ implies $p|a$ or $p|b$?

Published on 25 Mar 2026 - 6:05

54

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Number of primes in sets of $k$ positive integers

Published on 08 Jan 2019 - 7:50

53

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Does this sequence of product of two primes always exist

Published on 08 Jan 2019 - 15:01

121

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Almost- and non-primes in the Ulam spiral

Published on 25 Mar 2026 - 6:03

580

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Can the sum of two squares be used to factor large numbers?

Published on 26 Mar 2026 - 9:42

238

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Congruences mod p#

Published on 31 Mar 2026 - 20:50

153

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For $n \ge 20$, there are at least $0.6 \cdot \frac{2^n}{n}$ primes in $\left[2^{n-1},2^n - 1\right]$.

Published on 26 Mar 2026 - 1:29

List Question

The growth-rate of a sum over a prime-counting function thing

Sequence of N numbers

For $a>0$ prime $p=a+b$ and $p\cdot a+b$ and $p\cdot b+a$ gives all primes

Is there a way to determine exactly the difference between $N$th & $(N+1)$th prime number?

Product of sum of reciprocals

For which $p$ primes is $p^{p-1}$ a divisor of $(p-1)^p + 1$?

Condition on $n$ for no sequence to exist

Maximum runs of composites in arithmetic progressions

Why is it natural to define a prime as $p|ab$ implies $p|a$ or $p|b$?

Number of primes in sets of $k$ positive integers

Does this sequence of product of two primes always exist

Almost- and non-primes in the Ulam spiral

Can the sum of two squares be used to factor large numbers?

Congruences mod p#

For $n \ge 20$, there are at least $0.6 \cdot \frac{2^n}{n}$ primes in $\left[2^{n-1},2^n - 1\right]$.

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