Category
page 1Large integers
googol
A googol is the large number 10100 or ten to the power of one hundred. In decimal notation, it is written as the digit 1 followed by one hundred zeros: 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. Its systematic name is ten duotrigintillion (short scale) or ten sexdecilliard (long scale). Its prime factorization is 2100 × 5100.
googolplex
A googolplex is the large number , that is, raised to the power of a googol. If written out in ordinary decimal notation, it would be followed by a googol (10100) a physically impossible number to write explicitly .
Fermat number
positive integer of the form (2^(2^n))+1
Graham's number
enormously large number, the upper bound solution to a Ramsey theory problem
Ackermann function
total non-primitive-recursive computable function
Skewes' number
number
largest known prime number
largest prime number that is currently known
centillion
REDIRECT Names of large numbers
Archimedes' cattle problem
a problem in number theory with a very large solution, attributed to Archimedes
Rayo's number
large number
Shannon number
lower bound on the game-tree complexity for chess
double Mersenne number
numbers of the form 2^{2^p-1}-1, where p and 2^p-1 are prime numbers
busy beaver
a halting, binary-alphabet Turing machine which writes the most 1s on the tape, using only a limited set of states
asankhyeya
An ''' () is a Buddhist name for the number 10140 or alternatively for the number 10^{(a\cdot2^b)} as it is described in the Avatamsaka Sutra. The value of the number is different depending upon the translation. It is 10^{(5\cdot2^{103})} in the translation of Buddhabhadra, 10^{(7\cdot2^{103})} in that of Shikshananda and 10^{(10\cdot2^{104})} in that of Thomas Cleary, who may have made an error in calculation. In these religious traditions, the word has the meaning of 'Incalculable or Countless'.'''
Sudan function
in mathematics, named after Gabriel Sudan
exponential factorial
recursive mathematical formula
megaprime
A megaprime is a prime number with at least one million decimal digits.
Eddington number
number of protons in the observable universe
RSA number
set of large semiprimes