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@chiara_kekrt: @SCUFFERS š«°šæ
chiusinecka
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Region: CZ
Tuesday 21 April 2026 19:45:00 GMT
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Comments
ellina :
mam na tebe crush
2026-04-21 20:01:16
3
vanesskq :
2026-04-21 19:50:57
5
š¦š“ :
2026-04-28 13:14:21
3
Majja :
2026-04-22 06:52:34
1
stelca_ :
mojeee laskaaš©·š©·š½
2026-06-03 18:26:22
0
.pavli :
2026-04-21 19:49:12
1
erinka :
ahoj lasko
2026-04-22 05:14:58
1
lucinkqq :
milujute!!š
2026-05-06 15:11:20
0
šĖąæ Emuss ššĖā :
5 minutš„°
2026-04-21 19:51:03
1
adikissesšŖ½ :
Gorggš»š»š»š»
2026-04-22 05:32:39
1
beuskaaaaa._ :
DIVA ON YOUR FYPšššš
2026-04-22 17:27:42
0
beuskaaaaa._ :
ahahahah miluju tvoje tt!
2026-04-22 17:27:50
0
Alperen Sengoon :
The best ā¤ļø
2026-04-30 08:38:09
0
beuskaaaaa._ :
dalsi video na edity yoooooš
2026-04-22 17:28:11
0
šŖ½ :
2026-04-21 23:05:37
0
To see more videos from user @chiara_kekrt, please go to the Tikwm homepage.
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Grahamās number is one of the largest numbers ever used in a serious mathematical proof. It is not merely a number with a lot of digits. It is so unimaginably large that describing its size pushes language, notation, and human intuition beyond their limits. Most large numbers people know, such as a million, a billion, or even a trillion, are tiny compared to numbers mathematicians work with. A googol is 10¹ā°ā°, which means a 1 followed by one hundred zeros. A googolplex is 10 raised to the power of a googol. If you tried to write out every digit of a googolplex, there would not be enough space in the observable universe. Yet even a googolplex is insignificant compared to Grahamās number. To understand why, imagine a tower of exponents. Start with 3³, which equals 27. Then try 3^(3³). That becomes 3²ā·, already over seven trillion. Now keep stacking exponents higher and higher. The numbers explode in size so quickly that ordinary notation becomes useless almost immediately. Mathematician Ronald Graham used a notation created by Donald Knuth called up arrow notation. One arrow represents ordinary exponentiation. Two arrows represent repeated exponentiation. Three arrows represent repeated applications of double arrows. Four arrows repeat the process again. Each extra arrow creates a jump in size so enormous that previous numbers become microscopic by comparison. Grahamās number begins with a number called gā. This number uses four upward arrows between two 3s. Even gā alone is far beyond anything that could ever be written in decimal form. Then the construction becomes even more extreme. The next number, gā, uses gā arrows between two 3s. Not gā as the value. gā as the number of arrows. Since gā is already incomprehensibly large, the number of arrows in gā exceeds anything the human mind can meaningfully picture. Then gā uses gā arrows. Then gā uses gā arrows. This process continues all the way to gāā. Grahamās number is gāā. At this point, even describing the process becomes difficult because each step uses the previous unimaginable number as part of the instructions for building the next one. Suppose every atom in the observable universe became a computer. Suppose each computer could write trillions of digits every second from the beginning of the universe until its end. They would not come remotely close to writing out Grahamās number. In fact, they would not come remotely close to writing out most of the intermediate values used to define it. An important detail often surprises people. Grahamās number is enormous, but it is finite. It is not infinity. Infinity is not a number at all. You can always add 1 to Grahamās number and get a larger number. You can multiply it by itself. You can square it. It behaves like any other integer. Mathematicians have since discovered numbers vastly larger than Grahamās number. Some numbers arising in fields such as combinatorics and logic make Grahamās number look tiny. The difference is similar to comparing a single grain of sand to the entire universe. What makes Grahamās number famous is not that it is the largest known number. It is famous because it was one of the first truly gigantic numbers to enter popular culture while still coming from legitimate mathematics. It served as an upper bound in a difficult problem involving connections between points in high dimensional space. The strangest part is that despite its unimaginable size, we still know specific facts about it. For example, mathematicians have calculated its last digit. Grahamās number ends in 7. We know its last several digits as well, even though the full number contains far more digits than could ever be physically written down. Grahamās number sits in a fascinating place between the finite and the incomprehensible. It is a perfectly well defined integer. It has a specific value. Yet no human being will ever see more than an infinitesimal fraction of its digits. Its existence reminds us that mathematics contains landscape #tlpur#sinister#iqmaxx
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