What is the next number? $2, 3, 5, 7, 11, ?, 17$ .

$12$

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$13$

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$14$

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$15$

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Solution

The correct option is B
$13$

Explanation for the correct options:
Option (B): The given series is $2, 3, 5, 7, 11, ?, 17$ .
Observe from the given numbers that the given series are prime numbers starting from $2$ .
A prime number is a whole number greater than $1$ with only $1$ and itself as factors.
So, the missing term will be the prime number after $11$ , which is $13$ .
Thus, the missing number is $13$ .
Hence, option (B) is correct.

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Similar questions

Without adding, find the sum:
(i) (1+3+5+7+9+11+13)
(ii) (1+3+5+7+9+11+13+15+17+19)
(iii) (1+3+5+7+9+11+13+15+17+19+21+23)

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Without adding find the sum

(i) 1 + 3 + 5 + 7 + 9

(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

What will be the next number in the following sequence?

5, 7, 11, 13, 17, 19, __

3, 5, 7, 11, 13, 17, . .

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