How to create a magic square if we know a date. Eg-22-04-2014 The first column should have 22 2nd-04 3rd-20 and 4th -14. I believe ramanujan created the same thing for his birthday but I don’t know the method he used. Please help. Is there any method to do it? I tried doing it using the […]

An $n\times n$ magic square summing to $S$ is an assignment of distinct integers to the $n^2$ entries of an $n \times n$ grid such that each row, column, and main diagonal sums to $S$. It is well known that for $n>2$, an $n\times n$ magic square with sum $M_n=n(n^2+1)/2$ can be formed using the […]

What is the lowest positive, what the highest possible value for the determinant of a standard-magic-square-matrix of order n ? Are there singular standard-magic-square-matrices of any order greater than $3$? First of all, the determinant of a standard-magic-square-matrix must be a multiple of $\frac{n^2(n^2+1)}{2}$ for odd n. This follows easy by the following process: Add […]

A Magic Square of order $n$ is an arrangement of $n^2$ numbers, usually distinct integers, in a square, such that the $n$ numbers in all rows, all columns, and both diagonals sum to the same constant. How to prove that a normal $3\times 3$ magic square must have $5$ in its middle cell? I have […]

Intereting Posts

abelian finite groups – basic
Automorphism group of the general affine group of the affine line over a finite field?
How to solve the general sextic equation with Kampé de Fériet functions?
What is the Galois group of the splitting field of $X^8-3$ over $\mathbb{Q}$?
Why can't you integrate all power functions without a log function?
Is the number of primes congruent to 1 mod 6 equal to the number of primes congruent to 5 mod 6?
group of diffeomorphisms of interval is perfect
How do you solve this differential equation using variation of parameters?
Distribution of hitting time of line by Brownian motion
if $f$ is entire and $|f(z)| \leq 1+|z|^{1/2}$, why must $f$ be constant?
Matrices which are both unitary and Hermitian
What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$?
How to prove that $a<S_n-<b$ infinitely often
Resultant of Two Univariate Polynomials
the number of loops on lattice?