@arvuotis: Brandon๐ Graham's number is a gigantic number that provides an upper bound for a solution to 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 widely known after Martin Gardner described it in his "Mathematical Games" column for Scientific American in November 1977, where he wrote: "In an unpublished proof, Graham recently established a bound so large that it holds the record for the largest number ever used in a serious mathematical proof."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 unimaginably large number, larger than other well-known large numbers such as the googol, the googolplex, and even larger than Skewes's number and Moser's number. The entire observable universe is too small to accommodate the ordinary decimal notation of Graham's number (each digit is assumed to occupy at least the Planck volume). Even power towers of the form a b c โ
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{\displaystyle a^{b^{c^{\cdot ^{\cdot ^{\cdot }}}}}} are useless for this purpose (in the same sense), although the number can be written using recursive formulas such as Knuth's notation or equivalents, as Graham did. The last 500 digits of Graham's number are [source not specified for 723 days] ...02425950695064738395657479136519351798334535362521 43003540126026771622672160419810652263169355188780 38814483140652526168785095552646051071172000997092 91249544378887496062882911725063001303622931916080 25459461494578871427832350829242102091825896753560 43086993801689249889268099510169055919951195027887 17830837018340236474548882222161573228010132974509 27344594504343300901096928025352751833289884461508 94042482650181938515625357963996189939679054966380 03222348723967018485186439059104575627262464195387. Modern mathematical proofs sometimes encounter numbers much larger than Graham's number, for example, in a work on the finite Friedmann form in Kruskal's theoremโthe so-called TREE(3). ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก ๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค ๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐ ๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐ ๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐ ๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐ค๐ซฃ๐คญ ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ๐๐๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค ๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐๐๐๐๐โน๏ธ๐ฃ๐๐ซ๐ฉ๐ฅบ๐ข๐ญ๐ค๐ ๐ก๐คฌ๐คฏ๐ณ๐ฅต๐ฅถ๐ฑ๐จ๐ฐ๐ฅ๐๐ค๐ซฃ๐คญ๐ซข๐ซก๐คซ๐ซ ๐คฅ ๐ถ๐ซฅ๐ถโ๐ซ๏ธ๐๐๐๐๐๐
๐๐คฃ๐ฅฒ๐ฅนโบ๏ธ๐๐๐๐๐๐๐๐ฅฐ๐๐๐๐๐๐๐๐๐คช๐คจ๐ง๐ค๐๐ฅธ๐คฉ๐ฅณ #awd #fyp #larp #accelaration #soldier #siege #ss
๐ฑ๐น[ฯฯ]๐๐๐ซ๐๐ค๐๐ฐ๐ฒแโฐ๏ธ
Region: US
Thursday 06 August 2026 09:18:05 GMT
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EyesSewnShut :
I miss him ๐ฅบ
2026-08-07 05:26:31
8
Australian Nationalistsโก๏ธโก๏ธ :
Did he die?
2026-08-08 15:12:51
0
Optic :
Do you have the OG edit by MXNS ?
2026-08-07 22:06:55
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flecktarn_crusader :
can u send me the very last two pictures
2026-08-06 10:17:24
0
๐๐๐๐๐ :
@hikk hero
2026-08-08 19:21:23
1
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