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Topic: Centered hexagonal number

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Hexagonal number

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	Centered hexagonal number
		A centered hexagonal number, or hex number is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot equidistantly.
		To find centered hexagonal numbers besides 1 that are also triangular numbers or squares, it is necessary to solve Diophantine equations.
		Viewed from the opposite perspective, centered hexagonal numbers are differences of two consecutive cubes, so that the centered hexagonal numbers are the gnomon of the cubes.
	www.sciencedaily.com /encyclopedia/centered_hexagonal_number (334 words)

	1 (NUMBER) FACTS AND INFORMATION (Site not responding. Last check: 2007-10-07)
		Some Ancient Greeks did not consider one as a number: they considered it to be the ''unit'', two being the first proper number as it represented a multiplicity.
		It is also the first and second numbers in the Fibonacci sequence, and is the first number in a lot of mathematical sequences.
		In some sports, one is the number of a specific position: in rugby_union, the number of the loosehead_prop; in baseball, the number representing the pitcher's position; in football, the number of the goalkeeper.
	velocipay.com /1_(number) (1665 words)

	Centered Hexamorphic Numbers by Cliff Pickover (Site not responding. Last check: 2007-10-07)
		They describe the number of grid points in nested concentric hexagonal lattices.
		A centered hexagonal number is called "centered hexamorphic" if it terminates with its associated centered hexagonal integer.
		For example, n = 7 is centered hexamorphic because H (7) equals 127.
	sprott.physics.wisc.edu /pickover/clifft.html (124 words)

	37 Heaven (Site not responding. Last check: 2007-10-07)
		37 is a "hex number", also known as a centered hexagonal number.
		Numbers of the form "abczyx" are divisible by 37.
		Landon Curt Noll had too much (Cray) time on his hands, so he sent me a vast collection of huge prime numbers that are related to the number 37 in various ways.
	magliery.com /37/numerical.html (131 words)

	600 (number) (Site not responding. Last check: 2007-10-07)
		The number 613 hangs from the rafters at Madison Square Garden in honor of legendary New York Knicks coach Red Holzman's 613 victories.
		This number is the magic constant of n×n magic square and n-Queens Problem for n = 11.
		694 = 2 × 347, centered triangular number, nontotient
	www.toshare.info /en/Six_hundred.htm (1133 words)

	Prime Curios!: 61
		61 is the fifth "self-conscious" number (6 + 1 = 7, 1 + 7 = 8, 7 + 8 = 15, 8 + 15 = 23, 15 + 23 = 38, 23 + 38 = 61).
		It is not known whether the double-Mersenne number (MM61 = 2^(2^61-1) - 1) is prime or composite.
		Figurately speaking, 61 is both the 6th (6x1) Centered Square Number and the 5th (6-1) Centered Hexagonal Number.
	primes.utm.edu /curios/page.php/61.html (659 words)

	19 (number) (Site not responding. Last check: 2007-10-07)
		It is also a Keith number, because it recurs in a Fibonacci-like sequence started from its base 10 digits: 1, 9, 10, 19...
		Nineteen is a centered triangular number, centered hexagonal number, and an octahedral number.
		The number of angels guarding Hell according to the Qur'an: "Upon it is nineteen" (al-Muddaththir74/:30)
	www.infothis.com /find/19_(number) (701 words)

	Prime Curios!: 919 (Site not responding. Last check: 2007-10-07)
		The smaller number in the smallest pair of prime numbers which are mutually the sums of (the same) powers of each others digits, i.e., 919 = 1
		The smallest number that cannot be added to a nonzero palindrome such that the sum is also palindromic.
		According to the Australian Bureau Of Meteorology, the prime number 919 millimetres is the record high mean annual rainfall over the State Of Victoria.
	primes.utm.edu /curios/page.php?short=919 (174 words)

	Table of Figurate Numbers, Sorted, Through 10,000
		Hendecagonal Number, or 11-gonal number, Hen(16), hence the Heterogeneous Jonathan Number Hen(S(4))
		Hendecagonal Number, or 11-gonal number, Hen(25), hence the Heterogeneous Jonathan Number Hen(S(5))
		the 18-gonal Number 18gon(25), hence the Heterogeneous Jonathan Number 18gon(S(5))
	www.magicdragon.com /fig.html (10985 words)

	Table of Polytope Numbers, Sorted, Through 1,000,000
		It is also the first of an infinite number of multidimensional Polytope Numbers such as the Pentatope (4-Simplex or Hypertetrahedron), Hyperoctahedron, 24-cell, Hyperdodecahedron, and Hypericosahedron -- these Polytope numbers are the subject of recent papers by this author, see References.
		[3rd "uninteresting number"] the 52-gonal Pyramidal Number 52Pyr(2), the 51-dimensional Centered Tetrahedral Number 51dCT(2)
		Hendecagonal Number, or 11-gonal number, Hen(26); also the Heptagonal Number Hep(36), note that the two digits of the index (36) are also the first and last digit of the Heptagonal Number (base 10)
	www.magicdragon.com /poly.html (9059 words)

	On the Number 61
		The 5th centered hexagonal number = 1, 7, 19, 37, 61, 91
		Sum of the 1st, 3rd, and 5th hexagonal numbers = 1 + 15 + 45 = 61
		Small groups here and there raced beside the car, until five, led by a magnificent buck, ran parallel to us, pressing toward the shore from the feeding area in the lake center while we drove on a straight course.
	www.wisdomportal.com /Numbers/61.html (11856 words)

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