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Graham's is a giant number, which serves as the upper limit for solving a particular problem in Ramsey's theory. It is a very large power of three, marked with Knuth's notation. It is named in honor of Ronald Graham. He became known to the general public after Martin Gardner described him in his "Mathematical Games" column in Scientific American magazine in November 1977, where he said: "In an unpublished test, Graham has recently set such a large limit that it holds the record as the largest number ever used in a serious mathematical test." In 1980, the Guinness Book of Records repeated Gardner’s claims, igniting even more public interest in this number. Graham’s number is huge on an incredible scale compared to other well-known numbers, such as the gogol, the gogolplex and even larger than the Scuza number and the Moser number. The entire observed universe is too small to contain the usual December writing of Graham's number (assuming that the recording of each digit takes at least Planck's volume). Even exponential towers of the type are useless for this purpose (in the same sense), although this number can be expressed using recursive formulas, such as Knuth's notation or similar, which Graham did. The last 500 digits of Graham's number are [no source given for 743 days] ... 02425950695064738395657479136519351798334535362521 43003540126026771622672160419810652263169355188780 38814483140652526168785095552646051071172000997092 91249544378887496062882911725063001303622931916080 25459461494578871427832350829242102091825896753560 43086993801689249889268099510169055919951195027887 17830837018340236474548882222161573228010132974509 27344594504343300901096928025352751833289884461508 94042482650181938515625357963996189939679054966380 03222348723967018485186439059104575627262464195387 . Contemporary mathematical proofs sometimes encounter even larger numbers than Graham's number, for example in Friedman's finite form work on Kruskal's theorem - the so-called TREE (3). The Graham Problem Definition of Graham's number See also Literature Links Report an error Last edited 3 months ago by Alex NB OT Related Pages Swimming with Knuth's arrows The method of writing giant numbers Tensors in Physical Kinetics Bowers Mass Swimming Unless otherwise indicated, the content is available under the CC BY-SA 4.0 license. Privacy Policy Contact UsCode of Conduct Developers StatistikatDeklarata for cookies Terms of useDesktop version #fyp #blowthisup #dontflop #hero #tpd