Given the left factorial function Σ(n) = sum_(k = 1)^n k!, SK(p) for p prime is the smallest integer n such that p|1 + Σ(n - 1). The first few known values of SK(p) are 2, 4, 6, 6, 5, 7, 7, 12, 22, 16, 55, 54, 42, 24, ... for p = 2, 5, 7, 11, 17, 19, 23, 31, 37, 41, 61, 71, 73, 89, .... The function SK(p) doe not exists for p = 3, 13, 29, 43, 47, 53, 67, 79, 83, ....

left factorial | pseudosmarandache function | Smarandache ceil function | Smarandache function | Smarandache-Wagstaff function