Wazz next?

Number Theory Level pending

Find the next number in the series given below

$3, 7, 31, 211,?$

1 solution

Milind Prabhu
Sep 14, 2014

${ a }_{ n }=$ (product of first $n$ prime numbers) + $1$

$3=2+1$

$7=3\times 2+1\quad$

$31=5\times 3\times 2+1$

$211=7\times 5\times 3\times 2+1\quad$

$\therefore \quad 11\times 7\times 5\times 3\times 2+1=2311$