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Erdős problem 409

If n>1n > 1 then the iteration n↦σ(n)−1n\mapsto\sigma(n) - 1 necessarily reaches a prime. Note: this is open — it is not clear that the σ iteration always terminates, since it is non-decreasing (unlike the φ iteration which is strictly decreasing).

Nothing has been recorded here yet.

How far the record reaches3 of 6 stages
  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal13 retained
  4. ResolutionNone filed
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
What this record is missingResolution

No source retained here records an outcome for this question.

Its collection still marks it open.

Where the source files it577 share a topic
Erdős problem 321accepted
Carrying a Standing. Browse the topic.