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Topic: Prime reciprocal magic square

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LUX method for magic squares

Heterosquare

Panmagic square

Antimagic square

Multimagic square

Magic constant

Magic cube

Magic square

Eight queens puzzle

Magic tesseract

Magic star

Bimagic square

Diabolic square

Trimagic square

Eidur Gudjohnsen

	Magic square - Wikipedia, the free encyclopedia
		The earliest magic square of order four was found in an inscription in Khajuraho, India, dating from the eleventh or twelfth century; it is also a panmagic square where, in addition to the rows, columns and main diagonals, the broken diagonals also have the same sum.
		The magic sum of the square is 33, the age of Jesus at the time of the Passion.
		In the magic square of order four, the numbers in the four central squares and one square at each corner are retained in the same place and the others are interchanged with their diametrically opposite numbers.
	en.wikipedia.org /wiki/Magic_square (1488 words)

	Magic square (Site not responding. Last check: 2007-10-21)
		In mathematics, magic squares consist of a number of integers arranged in the form of a square in such a way that the sum of the numbers in every row, column and diagonal are the same.
		The earliest magic square of order four was found inscribed Khajuraho, India, dating from the eleventh or twelfth century; it is also a so-called diabolic or panmagic (pandiagonal magic square) where, in addition to the rows, columns and main diagonals, the broken diagonals also have the same sum.
		Odd and doubly even magic squares are easy to generate; the construction of singly even magic squares is more difficult but several methods exist, including the LUX method for magic squares, originally due to John Conway.
	www.sciencedaily.com /encyclopedia/magic_square (1332 words)

	Prime reciprocal magic square - Wikipedia, the free encyclopedia
		In mathematics, a reciprocal is a number divided into one, like 1/3 or 1/7.
		However, neither diagonal sums to 27, but all other prime reciprocals in base ten with maximum period of p-1 produce squares in which all rows and columns sum to the same total.
		In the square from 1/19, with maximum period 18 and row-and-column total of 81, both diagonals also sum to 81, and this square is therefore fully magic:
	en.wikipedia.org /wiki/Prime_reciprocal_magic_square (639 words)

	Magic_square (Site not responding. Last check: 2007-10-21)
		In mathematics, a magic square of order n is an arrangement of n² numbers in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.
		Magic squares exist for all orders n ≥ 1 except n = 2, although the case n = 1 is trivial—it consists of a single cell containing the number 1.
		Yang Hui, in the 13th-century China, was one of the first mathematicians to study magic squares, or vertical and horizontal diagrams as they were called.
	www.apawn.com /search.php?title=Magic_square (1584 words)

	wikien.info: Main_Page (Site not responding. Last check: 2007-10-21)
		Prime lenses are not as versatile as their zoom counterparts, but are often of superior optical quality and lower cost.
		The Prime Minister is appointed by the President with consent of the legislature.
		From 1957 to 1958, the Prime Minister of Côte d'Ivoire was subordinate to the French Governor of Côte d'Ivoire.
	pardus.info /browse.php?title=P/PR/PRI (11193 words)

	666 (NUMBER) FACTS AND INFORMATION (Site not responding. Last check: 2007-10-21)
		It is the sum of the squares of the first seven prime_numbers.
		Since 36 is both square and triangular, 666 is the sixth number of the form
		The Roman_numeral representation of the number 666 (DCLXVI) uses once each of the Roman numeral symbols with values under 1,000, and that they are in exact reverse order of their respective values (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).
	www.bellabuds.com /666_(number) (596 words)

	Nat' Academies Press, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003)
		Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics V. Another thing to be noted about functions is that the important ones have names; and the really important ones have special symbols to denote them.
		The square root of 1 is 1; the square root of 4 is 2; the square root of 9 is 3.
		Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics the log function, and “log” is the word that came into the mathematician’s mind, under the illumination of the light bulb, when he saw Table 3-2.
	www.nap.edu /books/0309085497/html/32.html (4247 words)

	What's Special About This Number? (Site not responding. Last check: 2007-10-21)
		is the smallest possible magic constant of a 3×3 magic square of distinct primes.
		is the sum of the primes between its smallest and largest prime factor.
		is the smallest prime which is the sum of the cubes of the first few primes.
	www.stetson.edu /~efriedma/numbers.html (7257 words)

	Essays4
		The objective of this essay is to examine the sacraments’ ritual and magical significance and to explore ways in which the sacraments may evolve as we move into the Aquarian Age and become sensitized to 7th ray influence.
		Magic covers a broad spectrum of activity from crude sorcery and shamanism to "high," or ceremonial, magic.
		The Tibetan describes the 7th ray variously as the ray of "ceremonial magic," "ceremonial order" and "organization." The three terms differ in their connotation, but "ceremonial magic" is particularly significant, and we must assume that it was intentional.
	www.uriel.org /Arcana/essays4.htm (15821 words)

	The Mathematical Magic of the Fibonacci Numbers
		The largest known Fibonacci prime, F(81839) was reported in April 2001 by David Broadbent and Bouk de Water.
		Since we start with squares of sides 1 and 1, this tells us why the squares sides are the Fibonacci numbers (the next is the sum of the previous 2).
		All the squares and all the rectangles have sides which are Fibonacci numbers in length.
	www.mcs.surrey.ac.uk /Personal/R.Knott/Fibonacci/fibmaths.html (12257 words)

	On-line Mathematics Dictionary
		A square array of n numbers such that sum of the n numbers in any row, column, or main diagonal is a constant (known as the magic sum).
		If the successive squares of a tour on an n X n chessboard are numbered from 1 to n^2, in order, the tour is called a magic tour if the resulting square is a magic square.
		A square array of n numbers such that sum of the n numbers in any row or column is a constant (known as the magic sum).
	www.mathpropress.com /glossary/glossary.html (4061 words)

	Unsolved (Site not responding. Last check: 2007-10-21)
		If the successive squares are numbered from 1 to 64, in order, the tour is called a magic tour if the resulting square is a magic square.
		A magic square is a square array of numbers such that each row and column and the two main diagonals sum to the same number (the magic constant).
		A unit square is a square of side length 1.
	mcraeclan.com /MathHelp/PuzzleUnsolved.htm (1829 words)

	Latin Square Combining
		After the cipher byte is selected by key and plaintext bytes, the square could be altered similarly to a dynamic substitution cipher: swapping the rows of the table indicated by key and plaintext, and swapping the columns also.
		Each of the 4 bit Latin squares could be selected from a "stable" of standard latin squares, according to the key, and the s-boxes could also be selected according to the key.
		If the key symbol and the plaintext symbol are chosen independently, the sums of the squares of the probabilities of the output symbols is smaller (or equal) to the sums of the squares of the probabilities of the input symbols; equality obtains if one of the inputs has only a single symbol.
	www.ciphersbyritter.com /NEWS5/LATSQCMB.HTM (13477 words)

	The Prime Puzzles and Problems Connection
		K consecutive primes p such that the decimal expansion of the reciprocal 1/p, for each p, has exactly a period of length (p-1)
		Primes p such that R(p) is prime and p^2 = R(R(p)^2)
		Primes such that their squares are free of the digit D. Consecutive integers with the same quantity of prime factors
	primepuzzles.net /puzzles (555 words)

	Liberation of Davis Square--from the Center for Spiritual Procrastination
		They are members of the young Four Square Gospel denomination, a loose-knit confederacy of congregations that grew out of the charismatic movement of the 1970s.
		Davis Square is not an immigrant neighborhood, so church members must commute from the outlying suburbs, where rent is far cheaper.
		In liberal US circles (which includes Davis Square), it now seems to mean, at its worst, making people aware of one or another social injustice, usually with pamphlets and emotional speech-ifying.
	www.angelfire.com /ma/chance/LibDavis.html (6691 words)

	IRAQ
		The Sumerians worshiped anu, the supreme god of heaven, Enlil, god of water, and Ea, god of magic and creator of man. The Sumerians held the belief that a sacred ritual marriage between the ruler and Inanna, goddess of love and fertility brought rich harvests.
		The British role in quelling the Palestine revolt of 1936 to 1939 further intensified anti-British sentiments in the military and led a group of disgruntled officers to form the Free Officers' Movement, which aimed at overthrowing the monarchy.
		Rashid Ali and four generals dubbed the "Golden Square", led a military coup, on April 3, 1941, that ousted Nuri as-Said and the regent; and announced that the temporarily absent regent was deposed.
	tjc.iwarp.com /iraq (9982 words)

	10 (number)
		Prime Minister of Saint Vincent and the Grenadines
		Prime Minister of the People's Democratic Republic of Yemen
		Prime minister of the People's Republic of China
	www.brainyencyclopedia.com /encyclopedia/p/pr/index.html (190 words)

	Hyperstition: Nullified Xenotation
		TX Primes are grouped into threes correlating to the "magic square" of the 31-rayed star.
		additionally, the magic square i decoded that creates these "stars" are also based on the number 3.
		the 93 "magic square" takes the numbers from 1 to 93 and organizes them into 3 rows of 31 numbers.
	hyperstition.abstractdynamics.org /archives/005109.html (2697 words)

	Magic in a Square
		Martin Gardner writes: "The success of the trick depends, of course, on the spectator's inability to follow the procedure well enough to guess the operating principle." He then selfishly adds: "Unfortunately, few spectators are that dense."
		Every location in the square is determined by its row and column numbers.
		The column is indicated directly on the first response, after which the columns of the square are swapped with the corresponding rows.
	www.cut-the-knot.org /Curriculum/Magic/MagicInSquare.shtml (138 words)

	666 The Number of the Beast / The Death of Pope John Paul II and 666
		Longitude is shown as a vertical line and is the angular distance, in degrees, minutes, and seconds, of a point east or west of the Prime (Greenwich) Meridian.
		The sum of all the integers from 1 to 36 inclusive is 666.
		A prime reciprocal magic square based on 1/149 in base 10 has a magic total of 666.
	www.thenazareneway.com /666_the_number_of_the_beast.htm (4059 words)

	List of number theory topics (Site not responding. Last check: 2007-10-21)
		Proof that the sum of the reciprocals of the primesdiverges
		On the Number of Primes Less Than a Given Magnitude
		NB Listing here is not pejorative, since many famoustopics in number theory have origins in challenging problems posed purely for their own sake.
	www.therfcc.org /list-of-number-theory-topics-34799.html (70 words)

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