The value of pi will be equal to 3. Who discovered the number Pi? History of computing

They mentioned the question “What would happen to the world if the number Pi was 4?” I decided to reflect a little on this topic, using some (albeit not the most extensive) knowledge in the relevant areas of mathematics. To whom it is interesting - I ask under cat.

To imagine such a world, it is necessary to mathematically realize a space with a different ratio of the circumference of a circle to its diameter. This is what I tried to do.

Attempt #1.

We will stipulate at once that I will consider only two-dimensional spaces. Why? Because the circle, in fact, is defined in two-dimensional space (if we consider the dimension n>2, then the ratio of the measure of the (n-1)-dimensional circle to its radius will not even be a constant).
So for starters, I tried to come up with at least some space where Pi is not equal to 3.1415 ... To do this, I took a metric space with a metric in which the distance between two points is equal to the maximum among the modules of the coordinate difference (i.e. the Chebyshev distance).

What form will the unit circle have in this space? Let's take a point with coordinates (0,0) as the center of this circle. Then the set of points, the distance (in the sense of the given metric) from which to the center is equal to 1, is 4 segments parallel to the coordinate axes, forming a square with side 2 and centered at zero.

Yes, in some metric it is a circle!

Let's calculate Pi here. The radius is 1, so the diameter is 2, respectively. You can also consider the definition of diameter as the largest distance between two points, but even so it is 2. It remains to find the length of our “circle” in this metric. This is the sum of the lengths of all four segments, which in this metric have the length max(0,2)=2. So the circumference is 4*2=8. Well, then Pi here is equal to 8/2=4. Happened! But is it really necessary to rejoice? This result is practically useless, because the space in question is absolutely abstract, it does not even define angles and turns. Can you imagine a world where no turn is actually defined and where the circle is a square? I tried, honestly, but I didn't have the imagination.

The radius is 1, but there are some difficulties with finding the length of this “circle”. After some searching for information on the Internet, I came to the conclusion that in a pseudo-Euclidean space, such a concept as “Pi number” cannot be defined at all, which is certainly bad.

If someone in the comments tells me how to formally calculate the length of a curve in pseudo-Euclidean space, I will be very happy, because my knowledge of differential geometry, topology (as well as hard googling) was not enough for this.

Conclusions:

I don’t know if it’s possible to write about the conclusions after such not very long studies, but something can be said. First, when I tried to imagine a space with a different number of pi, I realized that it would be too abstract to be a model of the real world. Secondly, when if you try to come up with a more successful model (similar to ours, the real world), it turns out that the number Pi will remain unchanged. If we take for granted the possibility of a negative square of the distance (which for an ordinary person is simply absurd), then Pi will not be determined at all! All this suggests that, perhaps, a world with a different Pi number could not exist at all? After all, it is not for nothing that the Universe is exactly the way it is. Or maybe this is real, only ordinary mathematics, physics and human imagination are not enough for this. What do you think?

Upd. I knew for sure. The length of a curve in a pseudo-Euclidean space can only be determined on some of its Euclidean subspaces. That is, in particular, for the “circle” obtained in the attempt N3, such a concept as “length” is not defined at all. Accordingly, Pi cannot be calculated there either.

Number value(pronounced "pi") is a mathematical constant equal to the ratio

Denoted by letter Greek alphabet"pi". old name - Ludolf number.

What is pi equal to? In simple cases, it is enough to know the first 3 characters (3.14). But for more

complex cases and where greater accuracy is needed, it is necessary to know more than 3 digits.

What is pi? The first 1000 decimal places of pi are:

3,1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989...

Under normal conditions, the approximate value of pi can be calculated by following the points,

below:

1. Take a circle, wrap the thread around its edge once.
2. We measure the length of the thread.
3. We measure the diameter of the circle.
4. Divide the length of the thread by the length of the diameter. We got the number pi.

Pi properties.

• pi- irrational number, i.e. the value of pi cannot be expressed exactly in the form

fractions m/n, where m and n are integers. This shows that the decimal representation

pi never ends and it is not periodic.

• pi is a transcendental number, i.e. it cannot be a root of any polynomial with integers

coefficients. In 1882, Professor Königsberg proved the transcendence pi, a

later, professor at the University of Munich Lindemann. Proof simplified

Felix Klein in 1894.

• since in Euclidean geometry the area of ​​a circle and the circumference of a circle are functions of pi,

then the proof of the transcendence of pi put an end to the dispute about the squaring of the circle, which lasted more than

2.5 thousand years.

• pi is an element of the period ring (that is, a computable and arithmetic number).

But no one knows whether it belongs to the ring of periods.

Pi formula.

• François Viet:

• Wallis formula:

• Leibniz series:

• Other rows:

Mathematicians all over the world eat a piece of cake every year on March 14 - after all, this is the day of Pi, the most famous irrational number. This date is directly related to the number whose first digits are 3.14. Pi is the ratio of the circumference of a circle to its diameter. Since it is irrational, it is impossible to write it as a fraction. This is an infinitely long number. It was discovered thousands of years ago and has been constantly studied ever since, but does Pi have any secrets left? From ancient origins to an uncertain future, here are some of the most interesting facts about pi.

Memorizing Pi

The record for remembering numbers after the decimal point belongs to Rajveer Meena from India, who managed to remember 70,000 digits - he set the record on March 21, 2015. Before that, the record holder was Chao Lu from China, who managed to memorize 67,890 digits - this record was set in 2005. The unofficial record holder is Akira Haraguchi, who videotaped his repetition of 100,000 digits in 2005 and recently posted a video where he manages to remember 117,000 digits. An official record would only become if this video was recorded in the presence of a representative of the Guinness Book of Records, and without confirmation it remains only an impressive fact, but is not considered an achievement. Mathematics enthusiasts love to memorize the number Pi. Many people use various mnemonic techniques, such as poetry, where the number of letters in each word is the same as pi. Each language has its own variants of such phrases, which help to remember both the first few digits and a whole hundred.

There is a Pi language

Fascinated by literature, mathematicians invented a dialect in which the number of letters in all words corresponds to the digits of Pi in exact order. Writer Mike Keith even wrote a book, Not a Wake, which is completely written in the Pi language. Enthusiasts of such creativity write their works in full accordance with the number of letters and the meaning of the numbers. This has no practical application, but is a fairly common and well-known phenomenon in the circles of enthusiastic scientists.

Exponential Growth

Pi is an infinite number, so people, by definition, will never be able to figure out the exact numbers of this number. However, the number of digits after the decimal point has increased greatly since the first use of the Pi. Even the Babylonians used it, but a fraction of three and one eighth was enough for them. Chinese and creators Old Testament and was completely limited to three. By 1665, Sir Isaac Newton had calculated 16 digits of pi. By 1719, French mathematician Tom Fante de Lagny had calculated 127 digits. The advent of computers has radically improved man's knowledge of Pi. From 1949 to 1967 the number known to man numbers skyrocketed from 2037 to 500,000. Not so long ago, Peter Trueb, a scientist from Switzerland, was able to calculate 2.24 trillion digits of Pi! This took 105 days. Of course, this is not the limit. It is likely that with the development of technology it will be possible to establish an even more accurate figure - since Pi is infinite, there is simply no limit to accuracy, and only the technical features of computer technology can limit it.

Calculating Pi by hand

If you want to find the number yourself, you can use the old-fashioned technique - you will need a ruler, a jar and string, you can also use a protractor and a pencil. The downside to using a jar is that it has to be round, and accuracy will be determined by how well the person can wrap the rope around it. It is possible to draw a circle with a protractor, but this also requires skill and precision, as an uneven circle can seriously distort your measurements. A more accurate method involves the use of geometry. Divide the circle into many segments, like pizza slices, and then calculate the length of a straight line that would turn each segment into an isosceles triangle. The sum of the sides will give an approximate number of pi. The more segments you use, the more accurate the number will be. Of course, in your calculations you will not be able to come close to the results of a computer, nevertheless, these simple experiments allow you to understand in more detail what Pi is in general and how it is used in mathematics.

Discovery of Pi

The ancient Babylonians knew about the existence of the number Pi already four thousand years ago. The Babylonian tablets calculate Pi as 3.125, and the Egyptian mathematical papyrus contains the number 3.1605. In the Bible, the number Pi is given in an obsolete length - in cubits, and the Greek mathematician Archimedes used the Pythagorean theorem to describe Pi, the geometric ratio of the length of the sides of a triangle and the area of ​​\u200b\u200bthe figures inside and outside the circles. Thus, it is safe to say that Pi is one of the most ancient mathematical concepts, although the exact name of this number has appeared relatively recently.

A new take on Pi

Even before pi was related to circles, mathematicians already had many ways to even name this number. For example, in old mathematics textbooks one can find a phrase in Latin, which can be roughly translated as "the quantity that shows the length when the diameter is multiplied by it." The irrational number became famous when the Swiss scientist Leonhard Euler used it in his work on trigonometry in 1737. However, the Greek symbol for pi was still not used - it only happened in a book by the lesser-known mathematician William Jones. He used it as early as 1706, but it was long neglected. Over time, scientists adopted this name, and now this is the most famous version of the name, although before it was also called the Ludolf number.

Is pi normal?

The number pi is definitely strange, but how does it obey the normal mathematical laws? Scientists have already resolved many questions related to this irrational number, but some mysteries remain. For example, it is not known how often all digits are used - the numbers from 0 to 9 should be used in equal proportion. However, statistics can be traced for the first trillion digits, but due to the fact that the number is infinite, it is impossible to prove anything for sure. There are other problems that still elude scientists. It is possible that the further development of science will help shed light on them, but at the moment this remains beyond the limits of human intelligence.

Pi sounds divine

Scientists cannot answer some questions about the number Pi, however, every year they understand its essence better. Already in the eighteenth century, the irrationality of this number was proved. In addition, it has been proved that the number is transcendental. This means that there is no definite formula that would allow you to calculate pi using rational numbers.

Dissatisfaction with Pi

Many mathematicians are simply in love with Pi, but there are those who believe that these numbers have no special significance. In addition, they claim that the number Tau, which is twice the size of Pi, is more convenient to use as an irrational one. Tau shows the relationship between the circumference and the radius, which, according to some, represents a more logical method of calculation. However, it is impossible to unambiguously determine anything in this matter, and one and the other number will always have supporters, both methods have the right to life, so this is just an interesting fact, and not a reason to think that using Pi is not worth it.

What is the number pi we know and remember from school. It is equal to 3.1415926 and so on... It is enough for an ordinary person to know that this number is obtained by dividing the circumference of a circle by its diameter. But many people know that the number Pi appears in unexpected areas not only in mathematics and geometry, but also in physics. Well, if you delve into the details of the nature of this number, you can see a lot of surprises among the endless series of numbers. Is it possible that Pi hides the deepest secrets of the universe?

Infinite number

The number Pi itself arises in our world as the length of a circle, the diameter of which is equal to one. But, despite the fact that the segment equal to Pi is quite finite, the number Pi starts like 3.1415926 and goes to infinity in rows of numbers that never repeat. The first amazing fact is that this number, used in geometry, cannot be expressed as a fraction of whole numbers. In other words, you cannot write it as a ratio of two numbers a/b. In addition, the number Pi is transcendental. This means that there is no such equation (polynomial) with integer coefficients, the solution of which would be Pi.

The fact that the number Pi is transcendent was proved in 1882 by the German mathematician von Lindemann. It was this proof that became the answer to the question whether it is possible to draw a square with a compass and a ruler, whose area is equal to the area of ​​a given circle. This problem is known as the search for the squaring of a circle, which has troubled mankind since ancient times. It seemed that this problem had a simple solution and was about to be revealed. But it was an incomprehensible property of pi that showed that the problem of squaring a circle has no solution.

For at least four and a half millennia, mankind has been trying to get an increasingly accurate value of pi. For example, in the Bible in the 1st Book of Kings (7:23), the number pi is taken equal to 3.

Remarkable in accuracy, the value of Pi can be found in the pyramids of Giza: the ratio of the perimeter and height of the pyramids is 22/7. This fraction gives an approximate value of Pi, equal to 3.142 ... Unless, of course, the Egyptians set such a ratio by accident. The same value already in relation to the calculation of the number Pi was received in the III century BC by the great Archimedes.

In the Ahmes Papyrus, an ancient Egyptian mathematics textbook that dates back to 1650 BC, Pi is calculated as 3.160493827.

In ancient Indian texts around the 9th century BC, the most accurate value was expressed by the number 339/108, which equaled 3.1388 ...

For almost two thousand years after Archimedes, people have been trying to find ways to calculate pi. Among them were both famous and unknown mathematicians. For example, the Roman architect Mark Vitruvius Pollio, the Egyptian astronomer Claudius Ptolemy, the Chinese mathematician Liu Hui, the Indian sage Ariabhata, the medieval mathematician Leonardo of Pisa, known as Fibonacci, the Arab scientist Al-Khwarizmi, from whose name the word "algorithm" appeared. All of them and many other people were looking for the most accurate methods for calculating Pi, but until the 15th century they never received more than 10 digits after the decimal point due to the complexity of the calculations.

Finally, in 1400, the Indian mathematician Madhava from the Sangamagram calculated Pi with an accuracy of up to 13 digits (although he still made a mistake in the last two).

Number of signs

In the 17th century, Leibniz and Newton discovered the analysis of infinitesimal quantities, which made it possible to calculate pi more progressively - through power series and integrals. Newton himself calculated 16 decimal places, but did not mention this in his books - this became known after his death. Newton claimed that he only calculated Pi out of boredom.

At about the same time, other lesser-known mathematicians also pulled themselves up, proposing new formulas for calculating the number Pi through trigonometric functions.

For example, here is the formula used to calculate Pi by astronomy teacher John Machin in 1706: PI / 4 = 4arctg(1/5) - arctg(1/239). Using methods of analysis, Machin derived from this formula the number Pi with a hundred decimal places.

By the way, in the same 1706, the number Pi received an official designation in the form of a Greek letter: it was used by William Jones in his work on mathematics, taking the first letter of the Greek word “periphery”, which means “circle”. Born in 1707, the great Leonhard Euler popularized this designation, which is now known to any schoolchild.

Before the era of computers, mathematicians were concerned with calculating as many signs as possible. In this regard, sometimes there were curiosities. Amateur mathematician W. Shanks calculated 707 digits of pi in 1875. These seven hundred signs were immortalized on the wall of the Palais des Discoveries in Paris in 1937. However, nine years later, observant mathematicians found that only the first 527 characters were correctly calculated. The museum had to incur decent expenses to correct the mistake - now all the numbers are correct.

When computers appeared, the number of digits of Pi began to be calculated in completely unimaginable orders.

One of the first electronic computers ENIAC, created in 1946, which was huge and generated so much heat that the room warmed up to 50 degrees Celsius, calculated the first 2037 digits of Pi. This calculation took the car 70 hours.

As computers improved, our knowledge of pi went further and further into infinity. In 1958, 10 thousand digits of the number were calculated. In 1987, the Japanese calculated 10,013,395 characters. In 2011, Japanese researcher Shigeru Hondo passed the 10 trillion mark.

Where else can you find Pi?

So, often our knowledge of the number Pi remains at the school level, and we know for sure that this number is indispensable in the first place in geometry.

In addition to the formulas for the length and area of ​​a circle, the number Pi is used in the formulas for ellipses, spheres, cones, cylinders, ellipsoids, and so on: somewhere the formulas are simple and easy to remember, and somewhere they contain very complex integrals.

Then we can meet the number Pi in mathematical formulas, where, at first glance, geometry is not visible. For example, the indefinite integral of 1/(1-x^2) is Pi.

Pi is often used in series analysis. For example, here is a simple series that converges to pi:

1/1 - 1/3 + 1/5 - 1/7 + 1/9 - .... = PI/4

Among series, pi appears most unexpectedly in the well-known Riemann zeta function. It will not be possible to tell about it in a nutshell, we will only say that someday the number Pi will help to find a formula for calculating prime numbers.

And it is absolutely amazing: Pi appears in two of the most beautiful "royal" formulas of mathematics - the Stirling formula (which helps to find the approximate value of the factorial and the gamma function) and the Euler formula (which relates as many as five mathematical constants).

However, the most unexpected discovery awaited mathematicians in probability theory. Pi is also there.

For example, the probability that two numbers are relatively prime is 6/PI^2.

Pi appears in Buffon's 18th-century needle-throwing problem: what is the probability that a needle thrown onto a sheet of paper with a pattern will cross one of the lines. If the length of the needle is L, and the distance between the lines is L, and r > L, then we can approximately calculate the value of Pi using the probability formula 2L/rPI. Just imagine - we can get Pi from random events. And by the way Pi is present in the normal probability distribution, appears in the equation of the famous Gaussian curve. Does this mean that pi is even more fundamental than just the ratio of a circle's circumference to its diameter?

We can meet Pi in physics as well. Pi appears in Coulomb's law, which describes the force of interaction between two charges, in Kepler's third law, which shows the period of revolution of a planet around the Sun, and even occurs in the arrangement of electron orbitals of a hydrogen atom. And, again, the most incredible thing is that the Pi number is hidden in the formula of the Heisenberg uncertainty principle, the fundamental law of quantum physics.

Secrets of Pi

In Carl Sagan's novel "Contact", which is based on the film of the same name, aliens inform the heroine that among the signs of Pi there is a secret message from God. From a certain position, the numbers in the number cease to be random and represent a code in which all the secrets of the Universe are recorded.

This novel actually reflected the riddle that occupies the minds of mathematicians all over the planet: is the number Pi a normal number in which the digits are scattered with the same frequency, or is there something wrong with this number. And although scientists tend to the first option (but cannot prove it), Pi looks very mysterious. A Japanese man once calculated how many times the numbers from 0 to 9 occur in the first trillion digits of pi. And I saw that the numbers 2, 4 and 8 are more common than the rest. This may be one of the hints that Pi is not quite normal, and the numbers in it are really not random.

Let's remember everything that we have read above and ask ourselves, what other irrational and transcendental number is so common in the real world?

And there are other oddities in store. For example, the sum of the first twenty digits of Pi is 20, and the sum of the first 144 digits is equal to the "number of the beast" 666.

The protagonist of the American TV series The Suspect, Professor Finch, told students that, due to the infinity of pi, any combination of numbers can occur in it, from the numbers of your date of birth to more complex numbers. For example, in the 762nd position there is a sequence of six nines. This position is called the Feynman point, after the famous physicist who noticed this interesting combination.

We also know that the number Pi contains the sequence 0123456789, but it is located on the 17,387,594,880th digit.

All this means that in the infinity of the Pi number one can find not only interesting combinations of numbers, but also the encoded text of "War and Peace", the Bible and even the Main Secret of the Universe, if it exists.

By the way, about the Bible. The well-known popularizer of mathematics Martin Gardner in 1966 stated that the millionth sign of the number Pi (still unknown at that time) would be the number 5. He explained his calculations by the fact that in the English version of the Bible, in the 3rd book, 14th chapter, 16 -m verse (3-14-16) the seventh word contains five letters. The million figure was received eight years later. It was number five.

Is it worth it after this to assert that the number pi is random?

I never thought about the story of the origin of Pi. I read quite interesting facts about Leibniz and Newton. Newton calculated 16 decimal places but didn't tell in his book. Thanks for the good article.

Reply

Once I read on a forum about magic that the number PI has not only magical meaning but also ritual. Many rituals are associated with this number and have been used by magicians since ancient times of the discovery of this number.

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the sum of the first twenty digits of pi is 20… Is this serious? AT binary system, whether?

Reply

1. Reply

   1. 100 is not the sum of the first 20 digits, but 20 decimal places.

      Reply

1. with diameter = 1, the circumference = pi, and, therefore, the circle will never close!

   Reply

14 Mar 2012

On March 14, mathematicians celebrate one of the most unusual holidays - International Pi Day. This date was not chosen by chance: the numerical expression π (Pi) - 3.14 (3rd month (March) 14th day).

For the first time, schoolchildren come across this unusual number already in the elementary grades when studying a circle and a circle. The number π is a mathematical constant that expresses the ratio of the circumference of a circle to the length of its diameter. That is, if we take a circle with a diameter equal to one, then the circumference will be equal to the number "Pi". The number π has an infinite mathematical duration, but in everyday calculations they use a simplified spelling of the number, leaving only two decimal places, - 3.14.

In 1987 this day was celebrated for the first time. Physicist Larry Shaw from San Francisco noticed that in the American system of writing dates (month / day), the date March 14 - 3/14 coincides with the number π (π \u003d 3.1415926 ...). Celebrations usually start at 1:59:26 p.m. (π = 3.14 15926 …).

History of Pi

It is assumed that the history of the number π begins in Ancient Egypt. Egyptian mathematicians determined the area of ​​a circle with a diameter D as (D-D/9) 2 . From this entry it can be seen that at that time the number π was equated to the fraction (16/9) 2, or 256/81, i.e. π 3.160...

In the VI century. BC. in India, in the religious book of Jainism, there are records indicating that the number π at that time was taken equal to square root out of 10, which gives the fraction 3.162...
In the III century. BC Archimedes in his short work "Measurement of the circle" substantiated three positions:

1. Any circle is equal in size to a right triangle, the legs of which are respectively equal to the circumference and its radius;
2. The areas of a circle are related to a square built on a diameter as 11 to 14;
3. The ratio of any circle to its diameter is less than 3 1/7 and greater than 3 10/71.

Archimedes substantiated the latter position by sequentially calculating the perimeters of regular inscribed and circumscribed polygons with doubling the number of their sides. According to the exact calculations of Archimedes, the ratio of circumference to diameter is between 3*10/71 and 3*1/7, which means that the number "pi" is equal to 3.1419... true value this ratio is 3.1415922653...
In the 5th century BC. Chinese mathematician Zu Chongzhi found a more accurate value for this number: 3.1415927...
In the first half of the XV century. astronomer and mathematician-Kashi calculated π with 16 decimal places.

A century and a half later, in Europe, F. Viet found the number π with only 9 correct decimal places: he made 16 doublings of the number of sides of polygons. F. Wiet was the first to notice that π can be found using the limits of some series. This discovery had great importance, it allowed us to calculate π with any accuracy.

In 1706, the English mathematician W. Johnson introduced the notation for the ratio of the circumference of a circle to its diameter and designated it with the modern symbol π, the first letter of the Greek word periferia-circle.

For a long period of time, scientists around the world have been trying to unravel the mystery of this mysterious number.

What is the difficulty in calculating the value of π?

The number π is irrational: it cannot be expressed as a fraction p/q, where p and q are integers, this number cannot be the root of an algebraic equation. It is impossible to specify an algebraic or differential equation whose root is π, therefore this number is called transcendental and is calculated by considering a process and refined by increasing the steps of the process under consideration. Multiple attempts to calculate the maximum number of digits of the number π have led to the fact that today, thanks to modern computing technology, it is possible to calculate a sequence with an accuracy of 10 trillion digits after the decimal point.

The digits of the decimal representation of the number π are quite random. In the decimal expansion of a number, you can find any sequence of digits. It is assumed that in given number in encrypted form there are all written and unwritten books, any information that can be imagined is in the number π.

You can try to solve the mystery of this number yourself. Writing down the number "Pi" in full, of course, will not work. But I propose to the most curious to consider the first 1000 digits of the number π = 3,
1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Remember the number "Pi"

Currently, with the help of computer technology, ten trillion digits of the number "Pi" has been calculated. The maximum number of digits that a person could remember is one hundred thousand.

To remember the maximum number of characters of the number "Pi", they use various poetic "memory" in which words with a certain number of letters are arranged in the same sequence as the numbers in the number "Pi": 3.1415926535897932384626433832795 .... To restore the number, you need to count the number of characters in each of the words and write it down in order.

So I know the number called "Pi". Well done! (7 digits)

So Misha and Anyuta came running
Pi to know the number they wanted. (11 digits)

This I know and remember very well:
Pi many signs are superfluous to me, in vain.
Let's trust the vast knowledge
Those who have counted, numbers armada. (21 digits)

Once at Kolya and Arina
We ripped the feather beds.
White fluff flew, circled,
Courageous, froze,
blissed out
He gave us
Headache old women.
Wow, dangerous fluff spirit! (25 characters)

You can use rhyming lines that help you remember the right number.

So that we don't make mistakes
It needs to be read correctly:
ninety two and six

If you try hard
You can immediately read:
Three, fourteen, fifteen
Ninety-two and six.

Three, fourteen, fifteen
Nine, two, six, five, three, five.
To do science
Everyone should know this.

You can just try
And keep repeating:
"Three, fourteen, fifteen,
Nine, twenty-six and five."

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