A Mersenne Prime is when 2^n-1 is prime. Some examples of a Mersenne Prime are n=2,3,5,7,13,17,19,31,61,89,107, and 127
The first forty Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, and 20996011.
Did you mean what Mersenne numbers are prime? If a number is a prime, how is it not a prime at the same time? Anyways, M11, or (2^11) - 1, I think is the lowest Mersenne Number Mp that isn't prime, when p is prime. Any Mersenne Number where p is not prime cannot be prime.
Let p = any prime number. (2p -1) is called a Mersenne number. Any such number that is prime is called a Mersenne Prime. Father Mersenne wrote a list of numbers of this type which he thought were prime, but a few were not. In fact, most of the large Mersenne numbers are not prime, but all the really large numbers that have been proved to be prime are Mersenne Primes.
1992 is not a Mersenne prime. 1992 is a composite number, being a multiple of 2.
The algorithm for a Mersenne prime is 2n - 1, where n is a prime number and the solution is also a prime number.Applying the Mersenne algorithm to the prime numbers 2, 3, 5, and 7:22 - 1 = 3, 23 - 1 = 7, 25 - 1 = 31, and 27 - 1 = 127.3, 7, 32, and 127 all being prime numbers, this demonstrates the 2, 3, 5, and 7 are all Mersenne primes.
$3000 for the next prime, $50,000 for the next Mersenne prime, $150,000 for a 100 million digit prime.
2 is the lowest Mersenne prime.
A Mersenne number is a number of the form 2n-1. When this number is prime, it is known as a Mersenne prime.A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Examples are the Mersenne prime 7 (23 - 1 = 7) and the Mersenne prime 127 (27 - 1 = 127)
Did you mean what Mersenne numbers are prime? If a number is a prime, how is it not a prime at the same time? Anyways, M11, or (2^11) - 1, I think is the lowest Mersenne Number Mp that isn't prime, when p is prime. Any Mersenne Number where p is not prime cannot be prime.
Mersenne prime is a kind of number - a prime. Being a number, it was not capable of discovering anything
Let p = any prime number. (2p -1) is called a Mersenne number. Any such number that is prime is called a Mersenne Prime. Father Mersenne wrote a list of numbers of this type which he thought were prime, but a few were not. In fact, most of the large Mersenne numbers are not prime, but all the really large numbers that have been proved to be prime are Mersenne Primes.
The 7th Mersenne prime is equal to 2^19-1
1992 is not a Mersenne prime. 1992 is a composite number, being a multiple of 2.
A prime number has only two factors, 1 and itself. A Mersenne prime is a prime number derived from the algorithm 2n - 1. For example, 23 - 1 = 7 and 7 is a prime number so 3 is a Mersenne prime. Similarly 27 - 1 = 127 and 127 is a prime number so 7 is a Mersenne prime. There are 47 known Mersenne primes, the highest being 43,112,609.
A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
1 is not a Mersenne prime because 21 - 1 = 2 - 1 = 1 and 1 is not a prime number.
Mersenne primes are mostly of interest as mathematical curios. A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
The largest Mersenne prime less than 200 is 127.