Fast Numbers - TheGrayCuber

The<br>Gray<br>Cuber

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fast numbers

What is the fastest way to say each number? 27 is usually called 'twenty-seven', but that takes four syllies (syllables).<br>Instead, we can use only 2 syllies by saying 'three cubed'.

This page shows the optimal name for each number,<br>using arithmetic, nicknames, and other shortcuts.<br>Use the input to select between three different versions:

original

The original fast numbers are the most basic.<br>This is the system discussed in our first video<br>about fast numbers. We allow arithmetic<br>using the words 'plus', 'minus', 'times', and 'over'.<br>For example: 'seventy-two' can be shortened to 'six times twelve'.

We also allow for powers using the words 'squared', 'cubed',<br>'to the fourth', 'to the fifth', and so on.<br>For example: 'five hundred twelve' can be shortened to 'eight cubed'.

Finally, we allow for fractions using the words 'halves', 'thirds', 'fourths' and so on.<br>For example: 'three hundred seventy-five' can be shortened to 'three thousand eighths'.

ance

The ance (advanced) version expands on the original with nicknames<br>and more operations, as shown in our second video.

'Thousand', 'million', and 'billion' are shortened to<br>'thou', 'mil' and 'bil'.<br>We also shorten 'seven' to 'sven', 'eleven' to 'elf'.

Numbers can be also named by sequences. 23 is 'ninth prime',<br>55 is 'tenth fib' (fibonacci), and 32 is 'five bits'.

The following new terms are introduced: score for 20,<br>gross for 144, ream for 500, lakh for 100,000, crore for 100,00,000,<br>stack for 64, chest for 1728, and large chest for 3456.

Some of the existing operations are improved. 'x minus y'<br>is replaced by 'x take y'. 'x over y' is replaced by 'x on y'.<br>'x times y' is replaced by 'x ys'.

We also add a bunch of new operations: factorial, choose, base, and modulo.

serious

The serious version is an alternate expansion of the original system.<br>Instead of approaching the problem with nicknames, we use an wider<br>set of operations.

Floor, ceiling, and round are introduced.<br>These allow for logarithms, roots, and irrationals to be used<br>while still producing integer results.<br>Logarithms and roots in turn allows for very large numbers,<br>such as decillion, to be used while still producing small results.

The serious version does not claim to produce optimal results like the<br>other two. The range of options vastly increases with these new<br>operations and numbers, so we only check a small subset that is<br>expected to be near optimal.

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enter a whole number<br>between 1 and 1 000 000