1976: The use of prime numbers in cryptography.
2008: The discovery of the first prime number with more than 10 million digits.
2018: The discovery of the 51th Mersenne prime with more than 24 million digits.
To the MNS presentation* There are infinitely many prime numbers.
* Mersenne’s (refuted) conjecture: 2p-1 is prime for p=2,3,5,7,13,17,19,31,67,127,257
* Is the set of Mersenne primes infinite?
* Many Mersenne numbers are composite.
* Many primes aren’t Mersenne numbers.
* The number M of the form M=n2-n+41 is prime, for any natural numbers n between 1 and 40.
* Is there a “formula” that generates all and only prime numbers???
* Perfect numbers and their relation to Mersenne Primes.
To the MNS presentationNumber theory (MSC2010#97F60)
* Prime/Composite (natural) number
* Mersenne prime
* perfect numbers
Logic (MSC2010#97E30)
* Proof by contradiction
Real life mathematics (MSC2010#97F90)
* Cryptography
To the MNS presentation
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