Problem 60957. List balanced primes

Created by ChrisR

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A balanced prime of order k is one that equals the average of the k primes before it and the k primes after it. For example, 79 is the first balanced prime of order 2; it is the average of 71, 73, 83, and 89. 
Cody Problem 47798 asks us to determine whether a number is a balanced prime of order one. For order one, balanced primes are equal to mean-of-2 primes. 
Write a function that returns the nth prime number that is the average of the k primes before it and the k primes after it. 

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Last Solution submitted on Jul 26, 2025

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Matthew on 9 Jul 2025

I like the problem, but the test suite is unnecessarily exhaustive IMO. Spent more time trying to get my code to run faster just so it didn't time out.

ChrisR on 12 Jul 2025

Thanks for the comment, Matthew. My initial solution for this problem ran much more slowly, and I found a way to speed it up significantly. If I get good enough at coding, I might be able to tackle some of Ramon Villamangca's "easy sequences" problems!

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Problem 60957. List balanced primes

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Last 200 Solutions

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Problem 60957. List balanced primes

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Last 200 Solutions

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Problem Recent Solvers5

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