Random Facts Useless Knowledge

Home / Categories / Numbers and Math / Entry 20

Numbers and Math · entry 20 of 52

Graham's number is so vast that the observable universe lacks the space needed to write all its digits.

Advertisement300 x 250

The longer version

It emerged from a question about colouring the edges of high dimensional cubes and looking for a single coloured flat face. The bound that came out was not merely large but built by repeated exponentiation, described with stacked arrow notation rather than ordinary powers.

The size is hard to convey: even the number of digits in it cannot be recorded inside the observable universe, because storing that many characters already outruns available particles. Later work found a smaller bound for the same problem, but the original figure remains a standard reference point for absurd magnitudes. Mathematicians reach for it when ordinary big numbers fail to impress.

Where this entry sits

This section collects odd corners of mathematics, from stubborn prime numbers to counting systems older than modern schools. Expect famous constants, probability puzzles, shapes that break everyday intuition, and numbers far too large to picture. The full list sits on the Numbers and Math page, where every entry is listed in order.

← Entry 19 Entry 21 →
Advertisement300 x 250

More From Numbers and Math

Eight more entries
21

Infinity is not a number in the usual sense, and different infinities can actually be different sizes.

Read
22

A hotel with infinitely many rooms can still take new guests by moving each occupant to the next room.

Read
23

Zero was used as a placeholder in ancient counting systems long before it was treated as a number itself.

Read
24

Roman numerals have no zero and no place value, which makes long multiplication awkward compared with modern notation.

Read
25

Our familiar digits are called Arabic numerals, though they were developed in India before spreading westward.

Read
26

Place value means a digit position changes its worth, which is why three means different things in thirteen and thirty.

Read
27

Binary uses only zero and one, and it is the counting system at the heart of modern computers.

Read
28

A single byte holds eight bits, which allows two hundred fifty-six different values to be represented.

Read

Try Another Subject

Three collections