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erdős #473

← #472 · #474 → (packet.json; erdosproblems.com)

Is there a permutation $a_{1}, a_{2}, \dots$ of the positive integers such that $a_{k} + a_{k + 1}$ is always prime?

Worked, still open.

number theory · solved · 0 attempts

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A055265 — a(n) is the smallest positive integer not already in the sequence such that a(n)+a(n-1) is prime, starting with a(1)=1.1,2,3,4,7,6,5,8,9,10,13,16,15,14,17,12,11,18,19,22,21,20,23,24,29,30,31,28,25,34,27,26,33,38,35,32,39,40,43,36,37,42,41,

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solved

finding.noted · reviewer:will-blair · 1 day

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