Table of Contents
What is the largest prime number discovered so far?
The twenty largest known prime numbers
| Rank | Number | Digits |
|---|---|---|
| 1 | 282589933 − 1 | 24,862,048 |
| 2 | 277232917 − 1 | 23,249,425 |
| 3 | 274207281 − 1 | 22,338,618 |
| 4 | 257885161 − 1 | 17,425,170 |
What is the largest prime number under 1000000?
the largest prime numbers less than one million is 999983.
Is 127 a Mersenne prime?
The exponents n which give Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31, (sequence A000043 in the OEIS) and the resulting Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647. The largest known prime number, 282,589,933 − 1, is a Mersenne prime.
What is the millionth prime number?
Number in Other Bases 15,485,863 is the 1,000,000th prime number.
What is the 1 millionth prime number?
15,485,863 is the 1,000,000th prime number.
Is 2047 a Mersenne prime?
A Mersenne prime is a Mersenne number that is a prime number. For example, 31 = 25 − 1, and 5 is a prime number, so 31 is a Mersenne number; and 31 is also a Mersenne prime because it is a prime number. But the Mersenne number 2047 = 211 − 1 is not a prime because it is divisible by 89 and 23.
Where can I find Mersenne prime?
A number with only two divisors (itself and 1) is a prime number. If a prime number can be written as 2n – 1 for some n, the prime number is a Mersenne prime. If the sum of divisors of a number (excluding the number itself) equals the number, the number is a perfect number.
What are Mersenne primes famous for?
The search for Mersenne primes is an active field in number theory and computer science. It is also one of the major applications for distributed computing, a process in which thousands of computers are linked through the Internet and cooperate in solving a problem.
What is the largest non-Mersenne prime number?
According to wikipedia the largest non-Mersenne prime is [math]19249 \imes 2^{13018586} + 1[/math]. It was discovered in 2007 and has nearly four million digits.
What is the largest Mersenne number with exponent n?
Here M n = 2 n − 1 is the Mersenne number with exponent n. The longest record-holder known was M 19 = 524,287, which was the largest known prime for 144 years. No records are known before 1456.
What is the largest prime number ever found?
By 1867 Landry had found a larger prime, still by trial division, as a factor of 2 59 -1 (namely (2 59 -1)/179951 = 3203431780337), this prime held the record longer than any other non -Mersenne would (before or after his discovery).
What are the Mersenne numbers?
These numbers, now called the Mersenne Numbers, were the focus of most of the early searches for large primes. The early history of these numbers is strewn with many false claims of primality, even by such notables as Mersenne, Leibniz, and Euler. So we give credit to our first record holder with some doubt: