As calculated from the reference above, tree(3) = (3/2 * 2^(46+2) - 2*46 - 6 + 95)*2 + 1 - 3 = 3*2^48 - 8 = 844,424,930,131,960.
TREE(3) is a colossus, a number so large that it dwarfs some of its gargantuan cousins like a googol (ten to the one hundred), or a googolplex (ten to the googol), or even the dreaded Graham's number (too big to write).
SSCG(3) is not only larger than TREE(3), it is much, much larger than TREE(TREE(… TREE(3)…)) where the total nesting depth of the formula is TREE(3) levels of the TREE function.
In fact, they are probably so much bigger that even TREE(4) will dwarf TREE(3) to a much greater extent than TREE(3) dwarfs our familiar numbers. But that isn't surprising once you know about TREE(3).
One output of the sequence, SCG(13), is a subject of extensive research. It is known to surpass TREE(3), a number that arises from a related sequence.
Quintillion is the denomination used for large numbers. A quintillion is the number name for 10 raised to the power of 18, that is, one followed by 18 zeros. In the International numeral system, a quintillion has 6 groups of zeros in 3, that is, 1,000,000,000,000,000,000.
I was watching Numberphile's video on how TREE numbers work and in the video they said TREE(3) is much more massive than Graham's number (effectively Graham's number would be 0 compared to TREE(3)). They said that it is known that TREE(3) is not infinite but there is currently no known upper-bound.
Other specific integers (such as TREE(3)) known to be far larger than Graham's number have since appeared in many serious mathematical proofs, for example in connection with Harvey Friedman's various finite forms of Kruskal's theorem.
a cardinal number represented in the U.S. by 1 followed by 27 zeros, and in Great Britain by 1 followed by 48 zeros.
This sequence does not extend above 52 because it is, an untouchable number, since it is never the sum of proper divisors of any number. It is the first untouchable number larger than 2 and 5.
This number is part of the Kruskal's Tree theorem. In a game of trees, TREE(1) is 1, TREE(2) is 3, and TREE(3) is much bigger than TREE(1) and TREE(2). This number may seem infinite, but it takes a finite amount of time to count to this number, but you won't be alive after counting to TREE(3).
Infinity plus one is still infinity. This is precisely the same principle as in Hilbert's Hotel above, where we paired up the infinitely many room numbers with the infinitely many guests. = {…,–3 ,–2, –1, 0, 1, 2, 3, …}).
However, when they went to register their domain name, they accidentally misspelt “googol” as “Google.” Despite the typo, Page and Brin decided to stick with the new name. Little did they know that this serendipitous error would become one of the most recognisable brands in the world.
Did you know that there are numbers that are exactly divisible by all the numbers from 1 - 10? The number 2520, is the smallest number which is exactly divisible by all the numbers from 1 - 10.
Addition Property. If any number is added to infinity, the sum is also equal to infinity. ∞ + ∞ = ∞ -∞ + -∞ = -∞
TREE(3) is WAYYYYY too big for any computer to have any hope of solving it. You can make an algorithm that would (in theory) produce TREE(3), but the problem is that TREE(3) would require so much information to store it that it would turn your hard drive into a black hole.
A colony of Huon pine trees covering 2.5 acres (1.0 ha) on Mount Read (Tasmania) is estimated to be around 10,000 years old, as determined by DNA samples taken from pollen collected from the sediment of a nearby lake.
Using this algorithm with hand computations on paper, Lucas showed in 1876 that the 39-digit number (2127 – 1) equals 170,141,183,460,469,231,731,687,303,715,884,105,727, and that value is prime. Also known as M127, this number remains the largest prime verified by hand computations.
A unit of quantity equal to 1051 (1 followed by 51 zeros).
What does undecillion mean? In the United States, undecillion is the name of the number 1,000,000,000,000,000,000,000,000,000,000,000,000, or 10³⁶. In Great Britain, an undecillion is the name of a number represented by 1 followed by 66 zeroes, or 10⁶⁶.
Space, or outer space, is a vast, near-perfect vacuum largely devoid of matter. This vacuum contains very few particles compared with Earth's atmosphere. However, it's not entirely empty. Space is dotted with scattered matter called the interstellar medium, which includes hydrogen and helium atoms.
The idea is quite simple, if you don't use math to explain it. 137 is the odds that an electron will absorb a single photon. Protons and electrons are bound by interactions with photons. So when you get 137 protons, you get 137 photons, and you get a 100% chance of absorption.
Theoretical physicists believe math shows the possibilities of a fourth dimension, but there's no actual evidence—yet. Albert Einstein believed space and time made up a fourth dimension. An example from a string theorist gives a view of what a fourth dimension could be.