Find the next number in this series.

Number Theory Level 2

4, 25, 168, 1229, x

What is x ?


The answer is 9592.

Vijay Simha by Vijay Simha , 34, USA

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1 solution

Vijay Simha
Oct 18, 2018

The numbers are obtained by evaluating the expression

π(10^x); x = 1,2,3 ...

Where π(n) -> the prime-counting function is the function counting the number of prime numbers less than or equal to some real number n

It is denoted by π(n) (unrelated to the number π)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

That's what I mean. All the geniuses are Indian. I mean, is it fair that other countries do not enjoy the same gift?

A Former Brilliant Member - 2 years, 7 months ago

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That's a bit stereotypical and racist, there; besides, 75% of current solvers are North American. Also, it isn't quite hard to come across this function if you have done some messing around with primes before. Here is the function in a wiki.

Blan Morrison - 2 years, 7 months ago

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Americans, Canadians (Brian Charlesworth), Germans (Markus Michelman), Russians and Chinese (Calvin, Chew-Seong Cheong and Pi Han Goh) and especially folks from the UK - Mark Hennings and others are the real geniuses.

Vijay Simha - 2 years, 7 months ago

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