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The last 100 decimal digits of the latest world record computation are: [1] 7034341087 5351110672 0525610978 1945263024 9604509887 5683914937 4658179610 2004394122 9823988073 3622511852 Graph showing how the record precision of numerical approximations to pi measured in decimal places (depicted on a logarithmic scale), evolved in human history.
Thus the "order of magnitude" of a number (on a larger scale than usually meant), can be characterized by the number of times (n) one has to take the to get a number between 1 and 10. Thus, the number is between 10 ↑ ↑ n {\displaystyle 10\uparrow \uparrow n} and 10 ↑ ↑ ( n + 1 ) {\displaystyle 10\uparrow \uparrow (n+1)} .
Traditional British usage assigned new names for each power of one million (the long scale): 1,000,000 = 1 million; 1,000,000 2 = 1 billion; 1,000,000 3 = 1 trillion; and so on. It was adapted from French usage, and is similar to the system that was documented or invented by Chuquet.
y-cruncher can also be used to calculate other constants and holds world records for several of them. PiFast by Xavier Gourdon was the fastest program for Microsoft Windows in 2003. According to its author, it can compute one million digits in 3.5 seconds on a 2.4 GHz Pentium 4. [100] PiFast can also compute other irrational numbers like e and ...
1,000,000 (one million), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione ( milione in modern Italian), from mille , "thousand", plus the augmentative suffix -one .
The following table lists the progression of the largest known prime number in ascending order. [3] Here M p = 2 p − 1 is the Mersenne number with exponent p, where p is a prime number. The longest record-holder known was M 19 = 524,287, which was the largest known prime for 144 years. No records are known prior to 1456. [citation needed]
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In other words, G is calculated in 64 steps: the first step is to calculate g 1 with four up-arrows between 3s; the second step is to calculate g 2 with g 1 up-arrows between 3s; the third step is to calculate g 3 with g 2 up-arrows between 3s; and so on, until finally calculating G = g 64 with g 63 up-arrows between 3s.