## EXPLORATION 2 Is Prime for All ?

MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers

Problem

## EXPLORATION 2 Is n2+n+41\boldsymbol{n}^{\mathbf{2}} \boldsymbol{+} \boldsymbol{n} \boldsymbol{+} \mathbf{4 1} Prime for All n\boldsymbol{n} ? (1) Plug in the numbers from 1 to 10 . Are the results all prime? (2) Repeat for the numbers from 11 to 20. (3) Repeat for the numbers from 21 to 30 . (Ready to make your conjecture?) (4) What is the smallest value of nn for which n2+n+41n^{2}+n+41 is not prime?

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