Search results
Results From The WOW.Com Content Network
The following table lists the progression of the largest known prime number in ascending order. Here M p = 2 p − 1 is the Mersenne number with exponent p , where p is a prime number. The longest record-holder known was M 19 = 524,287 , which was the largest known prime for 144 years.
It thus improved upon the previous record-holding prime, 6,700,417, also discovered by Euler, forty years earlier. The number 2,147,483,647 remained the largest known prime until 1867. In computing, this number is the largest value that a signed 32-bit integer field can hold.
The 5000 largest known primes at The PrimePages The 10,000 largest known probable primes at primenumbers.net PrimeGrid’s 321 Prime Search , about the discovery of 3×2 6090515 −1
The number was described in the 1980 Guinness Book of World Records, adding to its popular interest. Other specific integers (such as TREE(3)) known to be far larger than Graham's number have since appeared in many serious mathematical proofs, for example in connection with Harvey Friedman's various finite forms of Kruskal's theorem ...
The name of a number 10 3n+3, where n is greater than or equal to 1000, is formed by concatenating the names of the numbers of the form 10 3m+3, where m represents each group of comma-separated digits of n, with each but the last "-illion" trimmed to "-illi-", or, in the case of m = 0, either "-nilli-" or "-nillion".
As of 2018, there are 51 known Mersenne primes. The 13th, 14th, and 51st have respectively 157, 183, and 24,862,048 digits. As of 2018, this class of prime numbers also contains the largest known prime: M 82589933, the 51st known Mersenne prime.
The Ancient Greeks used a system based on the myriad, that is, ten thousand, and their largest named number was a myriad myriad, or one hundred million. In The Sand Reckoner, Archimedes (c. 287–212 BC) devised a system of naming large numbers reaching up to. , essentially by naming powers of a myriad myriad. This largest number appears ...
As of December 2019 the largest number known to have been factored by a general-purpose algorithm is RSA-240, which has 240 decimal digits (795 bits) and is the product of two large primes. Shor's algorithm can factor any integer in a polynomial number of steps on a quantum computer.