P number as mathematical riddle

P number as mathematical riddle

The number p is a mathematical constant which represents the circle length relation to length of its diameter. This number in mathematics can be designated by the Greek letter π.

Value of number p

Still the final value of number p is not known. In the course of its calculation the set of scientific methods of the account was open. Now scientists know more than 500 billion signs after the comma separating decimal fraction from an integer. In a decimal part of a constant p there are no repetitions as in simple periodic fraction, and the number of signs after a comma, most likely, is infinite. The infinity of this constant and lack of periodically repeating figures after a comma do not allow a circle to be closed if, working upside-down, to increase number p by diameter of a circle.

Mathematicians call number p the chaos which is written down by figures. It is possible to find any conceived sequence of figures in decimal fraction of this constant: any phone number, PIN code of the credit card or historical date. Moreover, if to translate all books into language of the decimal digital code, they can also be found in number p. In the same place there are and still unwritten books. As the number p is infinite, and the sequence of figures after a comma does not repeat, it is potentially possible to find any information on the Universe in it. This fact allows to call a constant p "divine" and "reasonable".

In school mathematics usually use minimum exact value p with two signs after a comma – 3.14. For practice on Earth there is enough number p with 11 signs after a comma. For calculation of length of an orbit of our planet around the sun it is necessary to use number with 14 signs after a comma. Exact calculations within our galaxy are possible with application of number p with 34 signs after a comma.

Unresolved problems of number p

It is unknown whether the number p is algebraically independent. Also the exact measure of irrationality of this constant though it is known that it cannot be more than 7.6063 is not calculated. It is unknown whether is p in n degree an integer if n represents any positive number. There is no confirmation to whether belongs p to a ring of the periods. Besides, there is unresolved a question of normality of this number. Normal call any number at which record in n-richnoy to the system of calculation the groups of consecutive figures meeting with the same asymptotic frequency are formed. It is unknown even what figures from 0 to 9 meet infinite number of times in decimal representation of number p.

Author: «MirrorInfo» Dream Team