Problem 46050. Construct a prime circle

A prime circle is a circular arrangement of the numbers 1 to 2n such that pairs of consecutive numbers add to primes. For example, if n = 3, a valid prime circle would be
1 6 5 2 3 4
because the sums of pairs would be 7, 11, 7, 5, 7, and (wrapping around) 5--all of which are prime.
Write a function to create a prime circle given n. The test suite will check that prime circle has the right numbers and that the sums of pairs are prime.
Solve

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30.88% Correct | 69.12% Incorrect
Last Solution submitted on Nov 15, 2025

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