Erdős problem 940 · problems.science

Let $r \ge 3$ . Is it true that the set of integers which are the sum of at most $r$ $r$ -powerful numbers has density $0$ ?

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Problem row: sha256:394051b380c65bcbdc8c8f50437c471ca9f713e1800bbff440d55a2535caefaf
Metadata: sha256:59cf81dc84221ce0673e932d45d5b163a9a97c7f1a9f8206108663d71b193827
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:47fa3dd01cf61a34432cd1334f7b5ed0def4373fee91427d8238d248707d43d7

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207