A Smarandache-like function which is defined where S_k(n) is defined as the smallest integer for which n|(S_k(n))^k. The Smarandache S_k(n) function can therefore be obtained by replacing any factors which are kth powers in n by their k roots. S_k(n) = n/(M_k(n)), where M_k(n) is the number of solutions to x^k congruent 0 (mod n). The functions S_k(n) for k = 2, 3, ..., 6 for values such that S_k(n)!=n are tabulated by Begay. The following table gives S_k(n) for small k and n = 1, 2, ....

pseudosmarandache function | Smarandache function | Smarandache-Kurepa function | Smarandache near-to-primorial function | Smarandache sequences | Smarandache-Wagstaff function