Problem 57815. List numbers such that every sum of consecutive positive integers ending in those numbers is composite

Created by ChrisR
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The sequence in question in this problem involves numbers m such that all sums of consecutive positive integers ending with m are composite. The number 12 is not in the sequence because 11+12 is prime. The number 13 is not in the sequence because 13 is prime. However, 14 is in the sequence because all of the sums 14, 14+13, 14+13+12, etc. through 14+13+12+…+1 are composite. 
Write a function that returns the nth number in this sequence. 

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11 Solutions
7 Solvers

Last Solution submitted on Dec 05, 2024

Last 200 Solutions

Problem Comments

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1 Comment

GeeTwo on 5 Dec 2024

The solutions don't match the problem statement, as 1 is not composite. It should be something like:
"numbers m such that no sum of consecutive positive integers ending with m are prime".