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erdős #1081

← #1080 · #1082 → (packet.json; erdosproblems.com)

Let $A (x)$ count the number of $n \leq x$ which are the sum of two squarefull numbers (a number $m$ is squarefull if $p ∣ m$ implies $p^{2} ∣ m$ ). Is it true that $A (x) \sim c \frac{x}{lo g x}$ for some $c > 0$ ?

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number theory · solved · 0 attempts

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A076871 — Sum of two powerful numbers (definition (1), A001694).2,5,8,9,10,12,13,16,17,18,20,24,25,26,28,29,31,32,33,34,35,36,37,40,41,43,44,45,48,50,52,53,54,57,58,59,61,63,64,65,68,7 A076872 — a(n) = number of numbers <= n that are the sum of two squarefull numbers.0,1,1,1,2,2,2,3,4,5,5,6,7,7,7,8,9,10,10,11,11,11,11,12,13,14,14,15,16,16,17,18,19,20,21,22,23,23,23,24,25,25,26,27,28,28

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finding.noted · reviewer:will-blair · 1 day

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