@hater1924: Paragraph 1: Graham's number is one of the largest numbers ever used in a serious mathematical proof. Paragraph 2: It was introduced by Ronald Graham in 1977 as an upper bound for a specific problem in Ramsey theory. Paragraph 3: The problem concerns the number of dimensions needed to guarantee a certain monochromatic structure in a hypercube. Paragraph 4: Graham proved that a solution exists and that it is less than Graham's number. Paragraph 5: Since then much smaller upper bounds have been found but Graham's number remains famous. Paragraph 6: The definition uses Knuth's up arrow notation. Paragraph 7: A single up arrow represents exponentiation. Paragraph 8: Two up arrows represent tetration which is iterated exponentiation. Paragraph 9: Three up arrows represent pentation which is iterated tetration. Paragraph 10: In general n up arrows represents iterated operation of n minus 1 up arrows. Paragraph 11: The sequence g is defined recursively. Paragraph 12: g1 equals 3 up arrow up arrow up arrow up arrow 3 which is also written as 3 up arrow 3 up arrow 3 up arrow 3. Paragraph 13: This number alone is already astronomically large beyond comprehension. Paragraph 14: g2 equals 3 up arrow repeated g1 times 3. Paragraph 15: This means you write 3 up arrow 3 up arrow 3 up arrow and so on with g1 arrows. Paragraph 16: g3 equals 3 up arrow repeated g2 times 3. Paragraph 17: This process continues. Paragraph 18: Graham's number is g64 which is the 64th term of this sequence. Paragraph 19: It is so large that even if you tried to store each digit in a Planck volume you could not write it down in the observable universe. Paragraph 20: Despite its size it is still a finite integer and its last digits can be computed with modular arithmetic. #iqmaxx #tnd #dnb #agartha #sinister