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Old 01.03.2007, 10:12 PM   #8299
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Originally Posted by Danny Himself
3...

This article discusses the number three. For the year AD 3, see 3. For other uses of 3, see 3 (disambiguation) [edit] In mathematics

Three is the first odd prime number, and the second smallest prime after two. It is both the first Fermat prime (22º + 1) and the first Mersenne prime (22 - 1), as well as the first lucky prime. However, it's the second Sophie Germain prime, the second Mersenne prime exponent, the second factorial prime (2! + 1), the second Lucas prime, the second Stern prime.
Three is the first unique prime due to the properties of its reciprocal.
Three is the second triangular number and it is the only prime triangular number. Three is the only prime which is one less than a perfect square. Any other number which is one less than a perfect square will be the product of the numbers one more than, and one less than, the square root of said square.
Three non-collinear points determine a plane and a circle.
Three is the fourth Fibonacci number and the third that is unique. In the Perrin sequence, however, 3 is both the zeroeth and third Perrin numbers.
Three is the fourth open meandric number.
Vulgar fractions with 3 in the denominator have a single digit repeating sequences in their decimal expansions, (.000..., .333..., .666..., .999...)
A natural number is divisible by three if the sum of its digits in base 10 is divisible by 3. For example, the number 21 is divisible by three (3 times 7) and the sum of its digits is 2 + 1 = 3. Because of this, the reverse of any number that is divisible by three (or indeed, any permutation of its digits) is also divisible by three. For instance, 1368 and its reverse 8631 are both divisible by three (and so are 1386, 3168, 3186, 3618, etc..). See also Divisibility rule.
A triangle is the most durable shape possible, the only "perfect" figure which if all endpoints have hinges will never change its shape unless the sides themselves are bent.
3 is the only integer between e and π.







 

Three is often the largest number written with as many lines as the number represents. The Romans tired of writing 4 as IIII, but to this day 3 is written as three lines in Roman and Chinese numerals. This was the way the Brahmin Indians wrote it, and the Gupta made the three lines more curved. The Nagari started rotating the lines clockwise and ending each line with a slight downward stroke on the right. Eventually they made these strokes connect with the lines below, and evolved it to a character that looks very much like a modern 3 with an extra stroke at the bottom. It was the Western Ghubar Arabs who finally eliminated the extra stroke and created our modern 3. (The "extra" stroke, however, was very important to the Eastern Arabs, and they made it much larger, while rotating the strokes above to lie along a horizontal axis, and to this day Eastern Arabs write a 3 that looks like a mirrored 7 with ridges on its top line): ٣
In fonts with text figures, 3 usually has a descender, for example,




 

A common variant of the digit 3 has a pointed top, similar to the character ezh, sometimes used to prevent people from falsifying a 3 into an 8.
[edit] Astronomy
  • There are three types of galaxies.
  • Globular Cluster M3 (also known as Messier Object 3 or NGC 5272) is a globular cluster in the Canes Venatici constellation.
  • The Roman numeral III stands for giant in the Yerkes spectral classification scheme.
  • The Roman numeral III (usually) stands for the third-discovered satellite of a planet or minor planet (e.g. Pluto III)
[edit] Chemistry[edit] Physics[edit] In religion

[edit] In esoteric tradition[edit] In philosophy






 
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