A number theory problem by 谦艺 伍

Number Theory Level 2

What is the next number in the following sequence?

4 , 9 , 25 , 49 , … 4, 9, 25, 49,\ldots


The answer is 121.

谦艺 伍 by 谦艺 伍 , 31, Malaysia

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1 solution

Sparsh Sarode
May 25, 2016

The given series is

2 2 , 3 2 , 5 2 , 7 2 __ \displaystyle 2^2,3^2,5^2,7^2\text{\_\_}

Clearly next prime number is 11 11

Hence the next term is 1 1 2 = 121 11^2=121

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