Graham’s number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by Ronald Graham while studying a problem in Ramsey theory. What makes it special is that it is not infinite—it is a finite number, but so unimaginably large that: It cannot be written out in ordinary decimal notation. Even the number of digits it contains cannot be expressed in any practical way. There is not enough space in the observable universe to write down all of its digits. Graham’s number is defined using Knuth’s up-arrow notation: g_1 = 3 \uparrow\uparrow\uparrow\uparrow 3 g_2 = 3 \uparrow^{g_1} 3 … Graham’s number = g_{64} For comparison: One million: 10^6 A googol: 10^{100} A googolplex: 10^{10^{100}} Graham’s number is vastly larger than even a googolplex. Graham’s number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by Ronald Graham while studying a problem in Ramsey theory. What makes it special is that it is not infinite—it is a finite number, but so unimaginably large that: It cannot be written out in ordinary decimal notation. Even the number of digits it contains cannot be expressed in any practical way. There is not enough space in the observable universe to write down all of its digits. Graham’s number is defined using Knuth’s up-arrow notation: g_1 = 3 \uparrow\uparrow\uparrow\uparrow 3 g_2 = 3 \uparrow^{g_1} 3 … Graham’s number = g_{64} For comparison: One million: 10^6 A googol: 10^{100} A googolplex: 10^{10^{100}} Graham’s number is vastly larger than even a googolplex. Graham’s number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by Ronald Graham while studying a problem in Ramsey theory. What makes it special is that it is not infinite—it is a finite number, but so unimaginably large that: It cannot be written out in ordinary decimal notation. Even the number of digits it contains cannot be expressed in any practical way. There is not enough space in the observable universe to write down all of its digits. Graham’s number is defined using Knuth’s up-arrow notation: g_1 = 3 \uparrow\uparrow\uparrow\uparrow 3 g_2 = 3 \uparrow^{g_1} 3 … Graham’s number = g_{64} For comparison: One million: 10^6 A googol: 10^{100} A googolplex: 10^{10^{100}} Graham’s number is vastly Graham’s number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by Ronald Graham while studying a problem in Ramsey theory. What makes it special is that it is not infinite—it is a finite number, but so unimaginably large that: It cannot be written out in ordinary decimal notation. Even the number of digits it contains cannot be expressed in any practical way. There is not enough space in the observable universe to write down all of its digits. Graham’s number is defined using Knuth’s up-arrow notation: g_1 = 3 \uparrow\uparrow\uparrow\uparrow 3 g_2 = 3 \uparrow^{g_1} 3 … Graham’s number = g_{64} For comparison: One million: 10^6 A googol: 10^{100} A googolplex: 10^{10^{100}} Graham’s number is vastly larger than even a googolplex. larger than even a googolplex. Graham’s number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by Ronald Graham while studying a problem in Ramsey theory. What makes it special is that it is not infinite—it is a finite number, but so unimaginably large that: It cannot be written out in ordinary decimal notation. Even the number of digits it contains cannot be expressed in any practical way. There is not enough space in the observable universe to write down all of its digits. Graham’s number is defined using Knuth’s up-arrow notation: g_1 = 3 \uparrow\uparrow\uparrow\uparrow 3 g_2 = 3 \uparrow^{g_1} 3 … Graham’s number = g_{64} For comparison: One million: 10^6 A googol: 10^{100} A googolplex: 10^{10^{100}} Graham’s number is vastly larger than even a googolplex. Graham’s number is one of the largest numbers ever used in a serious mathematical proof. It was introduced by Ronald Graham while studying a prob - @kosmar1k3