A large number or the largest number are terms that may refer to: * Large numbers, for notations to exactly specify very large numbers * Names of large numbers, for the largest numbers with names

In mathematics and physics

Infinity Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions amo ...

, a concept which can be used as a largest number in some contexts *

Graham's number Graham's number is an immense number that arose as an upper bound on the answer of a problem in the mathematical field of Ramsey theory. It is much larger than many other large numbers such as Skewes's number and Moser's number, both of which ar ...

, once claimed as the largest number ever used in a serious mathematical proof *

Largest known prime number The largest known prime number () is , a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018. A prime number is a posi ...

, for the largest known primes * Dirac large numbers hypothesis, for cosmology.

In computing

* Arbitrary-precision arithmetic * The constant 127, 32767,

2147483647 The number 2,147,483,647 is the eighth Mersenne prime, equal to 231 − 1. It is one of only four known double Mersenne primes. The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel ...

, or

9223372036854775807 A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent. In a context where only integers are considered, is restricted to non-negative ...

, in a byte, a word of 16, 32, or 64 bits in two's-complement format * The constant 255, 65535,

4294967295 The number 4,294,967,295 is an integer equal to 2 − 1. It is a perfect totient number. It follows 4,294,967,294 and precedes 4,294,967,296. It has a factorization of 3 \cdot 5 \cdot 17 \cdot 257 \cdot 65537. It is the highest unsigned ...

, or 18446744073709551615, in a byte, a