List questions from prime-numbers

146

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let $a, b, c$ be positive integers such that $a^2 - bc$ is a square. Prove that $2a + b + c$ is not prime.

Published on 20 Apr 2018 - 4:36

58

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Odd $n$ as sum of three primes

Published on 20 Apr 2018 - 7:56

141

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Can we prove that $t$ must be a Mersenne prime?

Published on 20 Apr 2018 - 13:54

664

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An inequality involving three consecutive primes

Published on 25 Mar 2026 - 7:15

164

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Is this set of solutions complete?

Published on 26 Mar 2026 - 0:25

3.6k

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n is of the form 3(mod 4), prove n cannot be sum of two squares.

Published on 26 Mar 2026 - 11:18

58

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Deduce the number of divisors, $d(n)$ is multiplicative and obtain a formula of $d(n)$ in terms of prime decomposition

Published on 10 Mar 2026 - 12:53

115

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For the number of divisors function, $d(n)$, deduce all positive integers when $d(n)$ is odd

Published on 25 Mar 2026 - 1:17

41

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probability of m to be a primality radius of n

Published on 29 Mar 2026 - 12:31

976

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Linear combination of relative primes

Published on 24 Apr 2018 - 2:02

340

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Prime Knots and Prime Numbers

Published on 26 Mar 2026 - 23:14

305

Views

Understanding a Jacobi Symbol Proof

Published on 27 Mar 2026 - 9:56

70

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Greedy Cyclic Group Orders

Published on 26 Mar 2026 - 9:25

81

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Prove $n$ is prime. (Fermat's little theorem probably)

Published on 25 Apr 2018 - 12:48

23

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Factorial and Exponent equation

Published on 25 Mar 2026 - 10:52

List Question

let $a, b, c$ be positive integers such that $a^2 - bc$ is a square. Prove that $2a + b + c$ is not prime.

Odd $n$ as sum of three primes

Can we prove that $t$ must be a Mersenne prime?

An inequality involving three consecutive primes

Is this set of solutions complete?

n is of the form 3(mod 4), prove n cannot be sum of two squares.

Deduce the number of divisors, $d(n)$ is multiplicative and obtain a formula of $d(n)$ in terms of prime decomposition

For the number of divisors function, $d(n)$, deduce all positive integers when $d(n)$ is odd

probability of m to be a primality radius of n

Linear combination of relative primes

Prime Knots and Prime Numbers

Understanding a Jacobi Symbol Proof

Greedy Cyclic Group Orders

Prove $n$ is prime. (Fermat's little theorem probably)

Factorial and Exponent equation

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