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Formula:8678

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Digital Library of Mathematical Functions ID 26.18.E2

N + ∑ t = 1 n ( - 1 ) t ⁢ ∑ 1 ≤ j 1 < j 2 < ⋯ < j t ≤ n ⌊ N p j 1 ⁢ p j 2 ⁢ ⋯ ⁢ p j t ⌋ . 𝑁 superscript subscript 𝑡 1 𝑛 superscript 1 𝑡 subscript 1 subscript 𝑗 1 subscript 𝑗 2 ⋯ subscript 𝑗 𝑡 𝑛 𝑁 subscript 𝑝 subscript 𝑗 1 subscript 𝑝 subscript 𝑗 2 ⋯ subscript 𝑝 subscript 𝑗 𝑡 {\displaystyle{\displaystyle N+\sum_{t=1}^{n}(-1)^{t}\sum_{1\leq j_{1}<j_{2}<% \cdots<j_{t}\leq n}\left\lfloor\frac{N}{p_{j_{1}}p_{j_{2}}\cdots p_{j_{t}}}% \right\rfloor.}}


Constraint(s)

Symbols List

  • ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • N 𝑁 {\displaystyle{\displaystyle N}} : set
  • p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle p_{n}}} : primes
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This page was last edited on 28 January 2024, at 11:30.
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