List questions from prime-numbers

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$a^n+ b^n$ is not a prime number when $n$ is not a power of $2$.

Published on 26 Mar 2026 - 8:00

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Let $p$ be an odd prime and $P(x)$ a polynomial of degree $p-2$. If $p\mid P(n)+P(n+1)+...+P(n+p-1) \forall n$, must $P$ have integer coefficients?

Published on 14 Sep 2018 - 7:27

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Stage 1 of Elliptic Curve Method (ECM)

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Do Arithmetic Mean and Geometric Mean of Prime Numbers converge?

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Basics of Quadratic Sieve algorithm

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Examples of proofs by induction over the set of prime numbers

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Comparing $\frac{(x+n)!}{x!}$ to $n!$

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Question about Paul Erdös' proof on the Sylvester-Schur Theorem

Published on 16 Sep 2018 - 20:27

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Prime and rational numbers

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Find all primes p in the interval $[1, 4000]$, such that $2^{(p-1)}$ is congruent with $1\,\,(\mathrm{mod} \,\, p ^ 2)$.

Published on 29 Mar 2026 - 5:43

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Take a cube, add one, when is this a prime?

Published on 17 Sep 2018 - 16:47

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Show that if $m \equiv 3 \mod 4$, then $m$ has a prime factor $p \equiv 3 \mod 4$.

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Is this Riemann sum formula for definite integral using of prime numbers true?

Published on 18 Sep 2018 - 14:33

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What is the proportion of primes for which a polynomial has a root

Published on 18 Sep 2018 - 22:54

List Question

Is there a correspondence between these sets of areas?

$a^n+ b^n$ is not a prime number when $n$ is not a power of $2$.

Let $p$ be an odd prime and $P(x)$ a polynomial of degree $p-2$. If $p\mid P(n)+P(n+1)+...+P(n+p-1) \forall n$, must $P$ have integer coefficients?

Stage 1 of Elliptic Curve Method (ECM)

Do Arithmetic Mean and Geometric Mean of Prime Numbers converge?

Basics of Quadratic Sieve algorithm

Examples of proofs by induction over the set of prime numbers

Comparing $\frac{(x+n)!}{x!}$ to $n!$

Question about Paul Erdös' proof on the Sylvester-Schur Theorem

Prime and rational numbers

Find all primes p in the interval $[1, 4000]$, such that $2^{(p-1)}$ is congruent with $1\,\,(\mathrm{mod} \,\, p ^ 2)$.

Take a cube, add one, when is this a prime?

Show that if $m \equiv 3 \mod 4$, then $m$ has a prime factor $p \equiv 3 \mod 4$.

Is this Riemann sum formula for definite integral using of prime numbers true?

What is the proportion of primes for which a polynomial has a root

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