Abstract
We give a new algorithm that quickly finds z-smooth neighbors, where a number is z-smooth if none of its prime factors exceeds z, and if b is a solution of p∣b(b+1)⇒p⩽z, then the pair (b, b+1) are called z-smooth neighbors.
2000 AMS Subject Classification:
Acknowledgments
The authors would like to thank the referee for many helpful comments.
Notes
1These numbers may be downloaded from http://www.aimath.org/conrey/SmoothNeighbors/ .
2Available at abcathome.com .