中文

方程 $\omega(n)=\omega(n+1)$

数论 2011-05-10 v1

摘要

我们证明存在无穷多个整数nn,使得nnn+1n+1具有相同数量的不同素因子。

关键词

引用

@article{arxiv.1105.1621,
  title  = {The equation $\omega(n)=\omega(n+1)$},
  author = {Jan-Christoph Schlage-Puchta},
  journal= {arXiv preprint arXiv:1105.1621},
  year   = {2011}
}

备注

The result is no obsolete: Buttkewitz found a non-computational proof, and the Goldston-Pintz-Yildirim-sieve yields more precise information