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Pseudosmarandache Function


The pseudosmarandache function Z(n) is the smallest integer such that

 sum_(k=1)^(Z(n))k=1/2Z(n)[Z(n)+1]

is divisible by n. The values for n=1, 2, ... are 1, 3, 2, 7, 4, 3, 6, 15, 8, 4, ... (OEIS A011772; Kashihara 1996; Russo 2000, p. 4).


See also

Smarandache Function

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References

Ashbacher, C. "Problem 514." Pentagon 57, 36, 1997.Kashihara, K. "Comments and Topics on Smarandache Notions and Problems." Vail: Erhus University Press, 1996.Russo, F. A Set of New Smarandache Functions, Sequences, and Conjectures in Numer Theory. Lupton, AZ: American Research Press, 2000.Sloane, N. J. A. Sequence A011772 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Pseudosmarandache Function

Cite this as:

Weisstein, Eric W. "Pseudosmarandache Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PseudosmarandacheFunction.html

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