by
Louis Marmet
This project has been running for over five years. My goal was to confirm the value of Qgap(18). This goal has been reached, the project is on hold at 125800000000000000. Thank you to all who participated! See a reference to related work and where the values of Qgap(L) are listed.
You can read more about
square-free gaps here. Completed
ranges...
The values of Qgap(L) for L>18 are still unknown. Tables of
square-free
gaps are available here.
Many thanks to Erick Bryce Wong who found upper limits for Qgap(L) for L=16 to 24.
The following graph shows an estimation of how large we can expect Qgap(L) to be...
| Known values of Qgap(L) (squares) and estimated values (empty circles). The empirical estimation, based on the calculated values for L<16, uses an approximation of the probability of obtaining the minimum number of primes required to produce a gap with length L. The upper limits for Qgap(L>16) were obtained by E. Wong. The values of Qgap(L) lie within the ranges indicated by the gray lines. |
Go to the "Square-free gaps"
page.
Other site with suggestions of internet distributed projects:
http://www.mersenne.org/