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The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.
Srinivasa Ramanujan Aiyangar [a] (22 December 1887 – 26 April 1920) was an Indian mathematician.Often regarded as one of the greatest mathematicians of all time, though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then ...
Ramanujan magic square construction: Image title: Construction of Ramanujan's magic square from a mutually orthogonal Latin square, its transpose and day (D), month (M), century (C) and year (Y) values, and Ramanujan's example, drawn by CMG Lee. Width: 100%: Height: 100%
Hardy–Ramanujan theorem; Hardy–Ramanujan asymptotic formula; Ramanujan identity; Ramanujan machine; Ramanujan–Nagell equation; Ramanujan–Peterssen conjecture; Ramanujan–Soldner constant; Ramanujan summation; Ramanujan theta function; Ramanujan graph; Ramanujan's tau function; Ramanujan's ternary quadratic form; Ramanujan prime ...
1729 is composite, the squarefree product of three prime numbers 7 × 13 × 19. [1] It has as factors 1, 7, 13, 19, 91, 133, 247, and 1729. [2] It is the third Carmichael number, [3] and the first Chernick–Carmichael number.
Construction of Ramanujan's birthday magic square from a 4×4 Latin square with distinct diagonals and day (D), month (M), century (C) and year (Y) values, and Ramanujan's birthday example. The problem of determining if a partially filled square can be completed to form a Latin square is NP-complete. [22]
Other common topics for crankery, collected by Dudley, include calculations for the perimeter of an ellipse, roots of quintic equations, Fermat's little theorem, Gödel's incompleteness theorems, Goldbach's conjecture, magic squares, divisibility rules, constructible polygons, twin primes, set theory, statistics, and the Van der Pol oscillator. [1]
A magic circle can be derived from one or more magic squares by putting a number at each intersection of a circle and a spoke. Additional spokes can be added by replicating the columns of the magic square. In the example in the figure, the following 4 × 4 most-perfect magic square was copied into the upper part of the magic circle. Each number ...