@xvokmlyup: Graham's number is a giant number that is an upper bound for the solution of a certain problem in Ramsey theory . It is a very large power of three, written using Knuth notation . It is named after Ronald Graham . It became known to the general public after Martin Gardner described it in his "Mathematical Games" column in Scientific American in November 1977 , where he said: "In an unpublished proof, Graham recently established a bound so large that it holds the record for the largest number ever used in a serious mathematical proof ." In 1980, the Guinness Book of World Records repeated Gardner's claims, further fueling public interest in the number. Graham's number is an unimaginable number of times larger than other well-known large numbers, such as a googol , a googolplex , and even larger than Skewes' number and Moser's number . The entire observable universe is too small to contain the ordinary decimal notation of Graham's number (each digit is assumed to occupy at least the Planck volume ). Even power towers of the formabc⋅⋅⋅are useless for this purpose (in the same sense), although the number can be written using recursive formulas such as Knuth notation or equivalent, which is what Graham did. The last 500 digits of Graham's number are [ source not specified 776 days ] ...02425950695064738395657479136519351798334535362521 43003540126026771622672160419810652263169355188780 38814483140652526168785095552646051071172000997092 91249544378887496062882911725063001303622931916080 25459461494578871427832350829242102091825896753560 43086993801689249889268099510169055919951195027887 17830837018340236474548882222161573228010132974509 27344594504343300901096928025352751833289884461508 94042482650181938515625357963996189939679054966380 03222348723967018485186439059104575627262464195387. In modern mathematical proofs, numbers even much larger than Graham's number sometimes occur, for example in work on the finite Friedmann form of Kruskal's theorem , the so-called TREE(3) .#fyp #algeria #egypt #brothers

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