
Glossary: Prime Pages: Top 5000: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Look at the first few primes: 2, 3, 5, 7, 11, and 13. Notice they have irregular gaps between them: 2 is followed immediately by the prime 3, 3 is followed by one composite, 5 by one, but 7 by three. We call the number of composites following a prime the length of the prime gap. For example, the prime gaps after 2, 3, 5 and seven are 0, 1, 1 and 3 respectively. By the prime number theorem, the "average gap" between primes less than n is log(n). See the page on prime gaps (linked below) for much more information. Warning: Some authors define the prime gap to be the difference between consecutive primes, this is a number one larger than our definition.
See Also: TwinPrime, JumpingChampion, GilbreathsConjecture Related pages (outside of this work)
References:
Chris K. Caldwell © 19992019 (all rights reserved)
