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

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.

Solution Stats

75.0% Correct | 25.0% Incorrect
Last Solution submitted on Sep 27, 2023

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