# Prime k-tuples

Author(s)
Matthew
Anderson
*,
Willamette
Talk Abstract
K-tuples are sets of prime numbers. Further, prime constellations are k-tuples
that have primes as close together as possible. Prime numbers are positive
integers that have no factor except 1 and themselves. There are no negative
prime numbers. The first few prime numbers are 2, 3, and 5. The number 101
is prime. But the number 1001 is composite. The factors of 1001 are 7, 11, and 13.
There are infinitely many prime numbers. So, there is no largest prime number.
However, as of October, 2023, the largest prime number known to human kind is
the 51st known Mersenne prime number. Mersenne prime numbers have the form
2^n-1. The largest one currently known is 2^(282,589,933)-1. That number has
24,862,048 digits. So more than 24 million digits. The Great Internet Mersenne
Prime Search (GIMPS) project has been going since 1996. You can also download
software and join the search for a larger prime number. Do it for the sport of it.
You could be a prime number hunter.
Talk Subject
Number Theory
Time Slot
2023-11-11T14:40:00
Room Number
1