OFFSET
1,2
COMMENTS
The case of n=1 corresponds to the Tutescu conjecture, which states that the equation S(k) = S(k+1) has no solutions. It is conjectured that S(k) = S(k+6) also has no solutions. For odd prime p, a(p) = p. It appears that a(n) <= n, except for n = 1, 2, 6, 24, 48, 120, 240, 720 (A099144).
REFERENCES
L. Tutescu, "On a Conjecture Concerning the Smarandache Function." Abstracts of Papers Presented to the Amer. Math. Soc. 17, 583, 1996.
LINKS
Eric Weisstein's World of Mathematics, Smarandache Function
MATHEMATICA
(*See A002034 for the Kempner function*) Table[i=1; While[i<10^5&&Kempner[i] != Kempner[i+n], i++ ]; If[i<10^5, i, 0], {n, 100}]
CROSSREFS
KEYWORD
nonn
AUTHOR
T. D. Noe, Sep 30 2004
STATUS
approved