Another prime question

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

Yes No

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1 solution

Maria Kozlowska
Oct 27, 2017

Let n = 29 k n= 29 * k

2 n 2 + 29 = 29 ( 58 k + 1 ) \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 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

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

Syed Hamza Khalid - 3 years, 7 months ago

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

Md Zuhair - 3 years, 7 months ago

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@Md Zuhair Welcome :))

Syed Hamza Khalid - 3 years, 7 months ago

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