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Sum of k numbers has exactly k divisors (Posted on 2024-03-03)

Do there exist positive integers A₁, A₂,....., A₁₀₀ such that for each k= 1,2,....,100, the number A₁+A₂+....+A_k has precisely k divisors?
Provide sufficient reason for your assertion.

No Solution Yet Submitted by K Sengupta

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	Subject	Author	Date
	No problem (spoiler)	Steve Herman	2024-03-03 07:38:04

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