magic (version 1.6-1)

magic.prime: Magic squares prime order

Description

Produces magic squares of prime order using the standard method

Usage

magic.prime(n,i=2,j=3)

Arguments

n

The order of the square

i

row number of increment

j

column number of increment

Author

Robin K. S. Hankin

Details

Claimed to work for order any prime \(p\) with \((p,ij)=1\), but I've tried it (with the defaults for i and j) for many composite integers of the form \(6n+1\) and \(6n-1\) and found no exceptions; indeed, they all seem to be panmagic. It is not clear to me when the process works and when it doesn't.

Examples

magic.prime(7)
f <- function(n){is.magic(magic.prime(n))}
all(sapply(6*1:30+1,f))
all(sapply(6*1:30-1,f))

is.magic(magic.prime(9,i=2,j=4),give.answers=TRUE)
magic.prime(7,i=2,j=4)