Generates a vector of positive integers whose product is approximately equal to a target value.

This function takes a target integer `n` and the number of dimensions `p`, and returns a vector `n_vec` of length `p` containing positive integers. The goal is to have the product of the elements in `n_vec` be as close as possible to `n`, especially when `n` is not a perfect p-th power.

Usage

gen_nproduct(n = 500, p = 4)

Arguments

n

The target positive integer value for the product of the output vector.

p

The number of dimensions (the length of the output vector). Must be a positive integer.

Value

A sorted vector of positive integers of length `p`. The product of the elements in this vector will be approximately equal to `n`. If `n` is a perfect p-th power, the elements will be equal.

Examples

gen_nproduct(500, 6) # Example with n=500, p=6
#> [1] 1 1 3 4 6 7
gen_nproduct(700, 4) # Example with n=700, p=4
#> [1] 4 5 5 7
gen_nproduct(625, 4) # Example with n=625 (perfect power)
#> [1] 5 5 5 5
gen_nproduct(30, 3)  # Example with n=30, p=3
#> [1] 2 3 5
gen_nproduct(7, 2)   # Example where exact product might be hard
#> [1] 2 3