
	Where results make sense

Topic: 8128 number

Related Topics

Whatever (Oasis)

Livre tournois

Mannsville, New York

Slip Stitch and Pass

Jeremy Joseph

In the News (Thu 17 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Perfect number - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-14)
		In mathematics, a perfect number is defined as an integer which is the sum of its proper positive divisors, excluding itself.
		Numbers where the sum is less than twice the number itself are called deficient, and where it is greater than twice the number, abundant.
		A pair of numbers which are the sum of each other's proper divisors are called amicable, and larger cycles of numbers are called sociable.
	www.godseye.com /stat/en/p/e/r/Perfect_number.html (784 words)

	8128 (number) - Wikipedia, the free encyclopedia
		8128 is the natural number following 8127 and preceding 8129.
		It is most notable for being a perfect number, and one of the earliest numbers to be recognized as such.
		Also related to its being a perfect number, 8,128 is a harmonic divisor number.
	en.wikipedia.org /wiki/8128_(number) (185 words)

	Perfect numbers
		Perfect numbers were studied by Pythagoras and his followers, more for their mystical properties than for their number theoretic properties.
		Today the usual definition of a perfect number is in terms of its divisors, but early definitions were in terms of the 'aliquot parts' of a number.
		Among simple even numbers, some are superabundant, others are deficient: these two classes are as two extremes opposed to one another; as for those that occupy the middle position between the two, they are said to be perfect.
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/Perfect_numbers.html (4360 words)

	SS > factoids > perfect number
		A perfect number P is equal to the sum of its divisors (where the divisors include 1, but not P itself).
		8128 = 1 + 2 + 4 +...
		8128 = 1 + 2 + 3 +...
	www-users.cs.york.ac.uk /~susan/cyc/p/perfect.htm (364 words)

	MathTrek: Simpsons Numbers (Site not responding. Last check: 2007-10-14)
		8128 is the fourth perfect number: it is equal to the sum of its proper positive divisors.
		8128 is the 4th perfect number, which is the sum of its proper positive divisors (8128 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 127 + 254 + 508 + 1016 + 2032 + 4064)
		The three numbers have the same last two digits as the numbers that have to be added to 8100, the square of 90, to create their sum.
	blog.sciencenews.org /2006/06/simpsons_numbers_1.html (2583 words)

	Special Numbers
		Euclid; and that there are no odd perfect numbers, unless they are composed of a single prime number, multiplied by a square whose root is composed of several other prime number.
		Of course, the number e is such that the area under the rectangular hyperbola from 1 to e is equal to 1.
		Perhaps surprisingly, since this work on logarithms had come so close to recognising the number e, when e is first "discovered" it is not through the notion of logarithm at all but rather through a study of compound interest.
	digilander.libero.it /roberto20129/matematica/specialnumbers.html (7901 words)

	Number Theory - Euler
		Number Theory is the area of mathematics concerned primarily with integer (sometimes rational) solutions to expressions.
		For n=1 through 4, the numbers are 5, 17, 257, and 65 537, which indeed are all prime.
		Fermat "prime" is not at all prime, and this one counterexample shatters Fermat's far-reaching conjecture.
	members.aol.com /tylern7/math/euler-6.html (1564 words)

	Perfect Number -- from MathWorld
		Perfect numbers were deemed to have important numerological properties by the ancients, and were extensively studied by the Greeks, including Euclid.
		Perfect numbers are also intimately connected with a class of numbers known as Mersenne primes, which are prime numbers of the form
		It is known that all even perfect numbers (except 6) end in 16, 28, 36, 56, 76, or 96 (Lucas 1891) and have digital root 1.
	users.skynet.be /fa956617/math/topics/PerfectNumber.html (710 words)

	Puzzle 35.- 1999 and the perfect numbers
		Tom Moore (5/1/99) made me notice that 1999 is the least prime number such that the sum of its digits is a perfect number (28).
		A perfect numbers is equal to the sum of all of its divisors, excluding itself.
		The first 5 perfect numbers are: 6, 28, 496, 8128 and 33550336.
	www.primepuzzles.net /puzzles/puzz_035.htm (368 words)

	The Prime Glossary: perfect number
		One example is the perfect numbers, those integers which are the sum of their positive proper divisors.
		Whatever significance ascribed to them, these three perfect numbers above, and 8128, were known to be "perfect" by the ancient Greeks, and the search for perfect numbers was behind some of the greatest discoveries in number theory.
		While seeking perfect and amicable numbers, Pierre de Fermat discovered Fermat’s Little Theorem, and communicated a simplified version of it to Mersenne in 1640.
	primes.utm.edu /glossary/page.php?sort=PerfectNumber (318 words)

	Math Lair - Perfect Numbers
		Perfect numbers were given their name by the ancient Greek mathematiticians, who mixed number theory with mysticism.
		A perfect number is a number that is equal to the sum of all of its (positive) divisors, excluding itself.
		Amicable numbers are similar in principle to perfect numbers.
	www.stormloader.com /ajy/perfect.html (438 words)

	8128 (number) (Site not responding. Last check: 2007-10-14)
		8,128 is the natural number following 8127 (number) and preceding 8129 (number).
		As a perfect number, it is tied to the Mersenne prime 127 (number), 2
		8,128 is the 127th triangular number, the 64th hexagonal number, the eighth 292-gonal number, and the fourth 1356-gonal number.
	read-and-go.hopto.org /Hexagonal-numbers/8128-(number).html (136 words)

	Multiperfect Number -- from Wolfram MathWorld
		As of 1911, 251 pluperfect numbers were known (Carmichael and Mason 1911).
		As of 1929, 334 pluperfect numbers were known, many of them found by Poulet.
		It is believed that all multiperfect numbers of index 3, 4, 5, 6, and 7 are known.
	mathworld.wolfram.com /MultiperfectNumber.html (314 words)

	Math Forum: Ask Dr. Math FAQ: Perfect Numbers
		The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064 and 8128.
		We do know that there are an infinite number of prime numbers, which means there is a very high chance that there are an infinite number of perfect numbers.
		A Mersenne Number is a number that is equal to one less than a power of 2, or (2^n-1) where n is any positive integer.
	mathforum.org /dr.math/faq/faq.perfect.html (2022 words)

	Puzzle 171. Perfect & Carmichael numbers
		if question 5 is a redo of question 4, and question 4 is to find a large 5-Carmichael number, then the proper question should be with this number to beat the current 5-Carmichael record (a 4271-digit number), gotten by David Broadhurst the 1/3/2002.
		This number was found with a custom written 5-way modular sieve, and 5-prp test built in.
		The numbers aren't proved prime, but have passed 2 different fermat tests and 10 MR tests each.
	www.primepuzzles.net /puzzles/puzz_171.htm (628 words)

	Perfect-Key
		numbered column from the left where ‘n’ equals the base number of the previous column.
		numbered column from the left where ‘n’ equals the exponent of previous column.
		numbered column from the left, apply 4(n+1)-1 where ‘n’ equals the number of the previous column.
	www.borderschess.org /perfect.htm (655 words)

	On the Number 29 (Site not responding. Last check: 2007-10-14)
		The 10th prime number = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
		Sum of the digits in the 2nd and 3rd perfect numbers 28 & 496 = 2 + 8 + 4 + 9 + 6 = 29
		Sum of the digits in the 2nd and 4th perfect numbers 28 & 8128 = 2 + 8 + 8 + 1 + 2 + 8 = 29
	www.wisdomportal.com /Numbers/29.html (234 words)

	Perfect Number -- from Wolfram MathWorld
		While many of Euclid's successors implicitly assumed that all perfect numbers were of the form (15) (Dickson 1952, pp.
		It is known that all even perfect numbers (except 6) end in 16, 28, 36, 56, 76, or 96 (Lucas 1891) and have
		In particular, the last digits of the first few perfect numbers are 6, 8, 6, 8, 6, 6, 8, 8, 6, 6, 8, 8, 6, 8, 8,...
	mathworld.wolfram.com /PerfectNumber.html (684 words)

	The Mystical Mountains
		A perfect number is a number whose divisors beside itself add up to that number.
		The first perfect number is 1, and the following perfect number is 6, whose divisors are 1, 2 and 3.
		This is a pair of numbers such that all the divisors of one number of the pair will equal the other number, and vice versa.
	www.inner.org /audio/aid/E_031.htm (1823 words)

	GENCO -TECH TIPS - NEWSLETTER - OCTOBER (Site not responding. Last check: 2007-10-14)
		Part number 13483 which fits Geo Prism and Toyota Corolla with a 1.6L engine will be superseded to 8128 in the 1-98 application catalog.
		This part number (8128) will be supplied without the plug harness and bracket.
		When selling this unit be sure to advise your customer to remove this plug harness and bracket and reinstall them on the replacement unit.
	www.genco1.com /980312.html (78 words)

	Integers - free-definition
		The integers consist of the natural numbers (0, 1, 2,...) and their negatives (-1, -2, -3,...; -0 is equal to 0 and therefore not included as a separate integer).
		The set of all integers is usually denoted in mathematics by Z (or Z in flboard bold,
		They are also known as the whole numbers, although that term is also used to refer only to the positive integers (with or without zero).
	www.netlexikon.akademie.de /category/Integers (79 words)

	CCC 1998 Stage 1: Solution B (Site not responding. Last check: 2007-10-14)
		Oh, and the answer to the cross-number puzzle: for 1-across, the only four-digit perfect number is 8128.
		Also, the last digit of 3-down must match the last digit of 6-across, and our program tells us that the only three-digit numbers equal to the sum of the cubes of their digits are 153, 370, 371, and 407; the only choice that works is 8281 for 3-down and 371 for 6-across.
		Since 2-down is a pair of two-digit twin primes that begins with a 1, it has to be either 1113, 1719, or 1921.
	www.math.uwaterloo.ca /CCC/1998/1b-ping.html (401 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		Of course there was the religious significance that we haven't mentioned yet, namely that 6 is the number of days taken by God to create the world, and it was believed that the number was chosen by him because it was perfect.
		3) When the exponent is a prime number, I say that its radical cannot be divisible by any other prime except those that are greater by one than a multiple of double the exponent...
		Also worth noting is the fact that although this is the 37th to be discovered, it may not be the 37th perfect number as not all smaller cases have been ruled out.
	www.resonancepub.com /perfectnums.htm (4291 words)

	The On-Line Encyclopedia of Integer Sequences
		Thus perfect numbers N, being M-th triangular, have form (6t+1)(3*t+1), whence the property N (mod 9)=1 for all N after the first.
		The numbers 2^(p-1)(2^p - 1) are perfect, where p is a prime such that 2^p - 1 is also prime (see A000043, the Mersenne primes).
		There are no other even perfect numbers, and it is believed that there are no odd perfect numbers.
	www.research.att.com /~njas/sequences/A000396 (692 words)

	Re: Vipassana meditation
		A perfect number is the sum >> of all its proper divisors.
		Six is perfect because >> it is the sum of 1 and 2 and 3 (its proper divisors).
		>> >> The divisors of 8128--writen as co-factors--are: >> (The proper divisors of 8128 are less than 8128.) >> 18128 >> 24064 >> 42032 >> 81016 >> 16508 >> 32254 >> 64127 >> 8128* is a perfect number because it's >> equal to the sum of its proper divisors.
	www.talkaboutsupport.com /group/alt.meditation/messages/124048.html (341 words)

	Perfect number - Wikipedia, the free encyclopedia
		There are no odd perfect numbers when β is equal to 1, 2, 3, 5, 6, 8, 11, 12, 17, 24 or 62 (Steuerwald, McDaniel, Kanold, Hagis, Cohen, Williams).
		Curtiss (1922) uses a greedy algorithm for Egyptian fractions to prove that a perfect number N must have a number of divisors at least proportional to lnlnN-.
		A much stronger singly-logarithmic bound would follow from the nonexistence of odd perfect numbers and the known form of even perfect numbers.
	en.wikipedia.org /wiki/Perfect_number (1303 words)

	[No title]
		Thus a perfect square cannot be a perfect number.
		A deficient number is a positive integer that is less than (*in the book pdf file "than" reads as "that"*) the sum of its proper divisors.
		Therefore an odd perfect number must have at least three distinct prime factors.
	www2.truman.edu /~c1199/math/Chapter4.htm (721 words)

	Ander D'nar - ticalc.org
		Ranked number 4090 in our list of busiest authors with 1 files.
		Ranked number 8133 in our list of most downloaded authors all time with 402 downloads.
		Ranked number 5545 in our list of most downloaded authors for the past seven days with 8 downloads.
	www.ticalc.org /archives/files/authors/85/8570.html (45 words)

	Pefect Numbers ?
		It says that each number I enter is a perfect number.
		Finally you should test the count == number outside the loop.
		So few perfect numbers, I feel bad for them.
	forum.java.sun.com /thread.jspa?threadID=776012 (181 words)

	Perfect numbers
		It is quite likely, although not certain, that the Egyptians would have come across such numbers naturally given the way their methods of calculation worked, see for example [17] where detailed justification for this idea is given.
		Let us look in more detail at Nicomachus's description of the algorithm to generate perfect numbers which is assertion (4) above (see [8], or [1]):-
		A suggestion as to the rule he used in giving his list is made in [9].
	www-groups.dcs.st-and.ac.uk /history/PrintHT/Perfect_numbers.html (4276 words)

Try your search on: Qwika (all wikis)