Another prime question

Number Theory Level 2

Does the expression $\large 2n^2 + 29$ always produce prime numbers?

Yes No

1 solution

Maria Kozlowska
Oct 27, 2017

Let $n= 29 * k$

$\Rightarrow 2 n^2 + 29 = 29(58 k + 1)$ is composite, therefore the answer is no.

There's no such form which only produces prime. I though i will get Fields Medal as i thought $b^4+(b+1)^4$ always produces prime. For first quite a number of terms its prime, But after that, Its non prime... So.. all my thoughts crashed down! :P

Md Zuhair - 3 years, 7 months ago

No problem. try again. never give up :))

Syed Hamza Khalid - 3 years, 7 months ago

:P ... Yeah... Nothing is Impossible :)... (I guess). :)... Thanks for appreciating

Md Zuhair - 3 years, 7 months ago

@Md Zuhair – Welcome :))

Syed Hamza Khalid - 3 years, 7 months ago

Another prime question

1 solution

0 pending reports