A few problems on Cody involve sieving. For example, Cody Problem 45367 involves the famous Sieve of Eratosthenes. CP 50811 uses the sieve of Flavius Josephus, and CP 50913 uses the golden sieve.
This problem uses a process that I will call the whyphi sieve:
  1. Make a list x of integers 1, 2, 3,…
  2. Remove the first term. That is, delete x(1).
  3. Renumber the terms.
  4. Delete x(2) and x(2+1)
  5. Renumber the terms.
  6. Delete x(3), x(3+2), and x(3+2+1).
  7. Continue renumbering and deleting terms in this way.
Write a function to compute the nth term of this sequence.
Solve

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Last Solution submitted on Mar 30, 2026

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Tim David Hill Christian Schröder Matthew Bolyard

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