Table of Contents
- 1 Is anything bigger than Rayos number?
- 2 How big is Rayo’s number?
- 3 What number is bigger than skewes number?
- 4 Is Rayos number the largest number?
- 5 Are all zeros after a decimal significant?
- 6 What happens if you cut Pi off at the 15th decimal point?
- 7 Is there a way to get higher precision with NP Pi?
Is anything bigger than Rayos number?
There is no largest number. What about Rayo’s number plus 1? So, in addition to “Rayo’s number + 1” we could raise the limit on the number of symbols allowed to, 2 googol. Or a googol googol.
How big is Rayo’s number?
Rayo’s number: The smallest number bigger than any number that can be named by an expression in the language of first order set-theory with less than a googol (10100) symbols.
What if there is no decimal point?
The decimal place accuracy of a number is the number of digits to the right of the decimal point. The decimal point is a period written between the digits of a number. If there is no decimal point, it is understood to be after the last digit on the right and there is no place (zero place) accuracy.
Can PI ever be a whole number?
π is an irrational number, meaning that it cannot be written as the ratio of two integers. Fractions such as 227 and 355113 are commonly used to approximate π, but no common fraction (ratio of whole numbers) can be its exact value.
What number is bigger than skewes number?
1.6. Skewes’ Numbers
| x | π(x) | x/ln(x) |
|---|---|---|
| 8 | 4 | 3.84718 |
| 9 | 4 | 4.09607 |
| 10 | 4 | 4.34294 |
| 11 | 5 | 4.58735 |
Is Rayos number the largest number?
Rayo’s number is a large number named after Mexican associate professor Agustín Rayo (born 1973) which has been claimed to be the largest (named) number. It was originally defined in a “big number duel” at MIT on 26 January 2007.
Is Rayo’s number computable?
Given that Σ grows much faster then TREE and all other computable functions, Rayo’s number is much larger than (10100)(10100) . It’s not just about how many digits it has, it’s about the SYMBOLS you can express in…. so basically you can throw in something like Tree(tree(tree(tree..
How do you get rid of decimals?
To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply . 25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.
Are all zeros after a decimal significant?
The number 0 has one significant figure. Therefore, any zeros after the decimal point are also significant. Example: 0.00 has three significant figures. Any numbers in scientific notation are considered significant.
What happens if you cut Pi off at the 15th decimal point?
In other words, by cutting pi off at the 15th decimal point, we would calculate a circumference for that circle that is very slightly off. It turns out that our calculated circumference of the 25 billion mile diameter circle would be wrong by 1.5 inches. Think about that.
How many digits of Pi would you need to calculate circumference?
Now let me ask a different question: How many digits of pi would we need to calculate the circumference of a circle with a radius of 46 billion light years to an accuracy equal to the diameter of a hydrogen atom (the simplest atom)? The answer is that you would need 39 or 40 decimal places.
Is Rayo’s theorem the Big Foot theorem?
The BIG FOOT theorem allows you to have a set number in any amount of symbols or less, which basically trumps Rayo’s numbers. But that is not to say it is easy to trump Rayo. One googol digits is nothing to scoff at.
Is there a way to get higher precision with NP Pi?
The proposed solutions using np.pi, math.pi, etc only only work to double precision (~14 digits), to get higher precision you need to use multi-precision, for example the mpmath package Compare to the true value: 3.14159265358979323846264338327… Why not just format using number_of_places: