\name{nextn} \title{Highly Composite Numbers} \usage{ nextn(n, factors = c(2,3,5)) } \alias{nextn} \arguments{ \item{n}{an integer.} \item{factors}{a vector of positive integer factors.} } \description{ \code{nextn} returns the smallest integer, greater than or equal to \code{n}, which can be obtained as a product of powers of the values contained in \code{factors}. \code{nextn} is intended to be used to find a suitable length to zero-pad the argument of \code{fft} to so that the transform is computed quickly. The default value for \code{factors} ensures this. } \seealso{ \code{\link{convolve}}, \code{\link{fft}}. } \examples{ nextn(1001) # 1024 table(sapply(599:630, nextn)) } \keyword{math}